Updated on 2022/03/17

写真a

 
KONDO, Shigeyuki
 
Organization
Graduate School of Mathematics Division of Mathematics Computational Mathematics Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science
Title
Professor

Degree 1

  1. 理学博士 ( 1986.3   名古屋大学 ) 

Research Interests 6

  1. automorphism group

  2. lattice

  3. automorphic form

  4. moduli space

  5. K3 surface

  6. Enriques surface

Research Areas 2

  1. Others / Others  / Algebra

  2. Others / Others  / Algebraic Geometry

Current Research Project and SDGs 4

  1. Automorphisms of K3 surfaces

  2. On birational structure of moduli spaces of algebraic varieties

  3. Coble surface

  4. Enriques surface

Research History 4

  1. 名古屋大学大学院多元数理科学研究科・教授

    2001.3

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    Country:Japan

  2. 名古屋大学大学院多元数理科学研究科・助教授

    1995.4 - 2001.2

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    Country:Japan

  3. 埼玉大学理学部・助教授

    1990.4 - 1995.3

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    Country:Japan

  4. 東京電機大学理工学部・助手

    1986.4 - 1990.3

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    Country:Japan

Education 2

  1. Nagoya University   Graduate School, Division of Natural Science

    - 1986

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    Country: Japan

  2. Shinshu University   Faculty of Science

    - 1980

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    Country: Japan

Professional Memberships 1

  1. 日本数学会

Awards 1

  1. 代数学賞

    2012.3   日本数学会代数学分科会  

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    Country:Japan

 

Papers 43

  1. Kummer surfaces associated with group schemes Reviewed International coauthorship

    Kondo Shigeyuki, Schroeer Stefan

    MANUSCRIPTA MATHEMATICA   Vol. 166   page: 323 - 342   2021.10

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    Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00229-020-01257-4

    Web of Science

  2. Classification of Enriques surfaces covered by the supersingular K3 surface with Artin invariant 1 in characteristic 2 Reviewed

    Kondo Shigeyuki

    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN   Vol. 73 ( 1 ) page: 301 - 328   2021.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/81778177

    Web of Science

  3. Classification of Enriques surfaces with finite automorphism group in characteristic 2

    Katsura Toshiyuki, Kondo Shigeyuki, Martin Gebhard

    ALGEBRAIC GEOMETRY   Vol. 7 ( 4 ) page: 390 - 459   2020.7

  4. A survey of finite groups of symplectic automorphisms of K3 surfaces Invited Reviewed

    Shigeyuki Kondo

    J. Phys. A: Math. Theor.   Vol. 51 ( 5 ) page: 053003   2018.2

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1751-8121/aa9f7e

    Web of Science

  5. On Enriques surfaces in characteristic 2 with a finite group of automorphisms Reviewed

    Toshiyuki Katsura, Shigeyuki Kondo

    J. Algebraic Geometry   Vol. 27   page: 173-202   2018

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  6. The Igusa quartic and Borcherds products Invited Reviewed

    Shigeyuki Kondo

    Progress in Math.   Vol. 315   page: 147--170   2016

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  7. A 1-Dimensional Family of Enriques Surfaces in Characteristic 2 Covered by the Supersingular K3 Surface with Artin Invariant 1 Invited Reviewed

    Toshiyuki Katsura and Shigeyuki Kondo

    Pure and Applied Mathematics Quarterly   Vol. 11 ( 4 ) page: 683-709   2015

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  8. The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3 Reviewed

    Shigeyuki Kondo, Ichiro Shimada

    International Mathematics Research Notices   Vol. 2014   page: 1885-1924   2014

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1093/imrn/rns274

  9. On a certain duality of Neron-Severi lattices of supersingular K3 surfaces Reviewed

    Shigeyuki Kondo, Ichiro Shimada

    Algebraic Geometry   Vol. 1 ( 3 ) page: 311-333   2014

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  10. On the supersingular K3 surface in characteristic 5 with Artin invariant 1 Reviewed

    Toshiyuki Katsura, Shigeyuki Kondo, Ichiro Shimada

    Michigan Mathematical Journal   Vol. 63   page: 803--844   2014

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  11. The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces Invited Reviewed

    I. V. Dolgachev, Sh. Kondo

    Izvestiya RAN. Seriya Matematicheskaya (I.R.Shafarevich's 90th birthday volume)   Vol. 77 ( 3 ) page: 77--92   2013

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4213/im7959

  12. The Segre cubic and Borcherds products Reviewed

    Shigeyuki Kondo

    Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds, Fields Institute Communications   Vol. 67   page: 549-565   2013

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    Language:English   Publishing type:Research paper (scientific journal)  

  13. K3 and Enriques surfaces Reviewed

    Shigeyuki Kondo

    Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds, Fields Institute Communications   Vol. 67   page: 3-28   2013

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    Language:English  

  14. Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3 Reviewed

    Toshiyuki Katsura, Shigeyuki Kondo

    J. Algebra   Vol. 352   page: 299--321   2012

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2011.10.047

  15. The moduli space of Hessian quartic surfaces and automorphic forms Reviewed

    Shigeyuki Kondo

    Journal of Pure and Applied Algebra   Vol. 216   page: 2233--2240   2012

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jpaa.2012.02.001

  16. A note on a supersingular K3 surface in characteristic 2 Invited Reviewed

    Toshiyuki Katsura, Shigeyuki Kondo

    Geometry and Arithmetic, Series of Congress Reports, European Math. Soc.     page: 243--255   2012

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  17. The moduli of curves of genus six and K3 surfaces Reviewed

    Michela Artebani, Shigeyuki Kondo

    Transactions of the American Mathematical Society   Vol. 363 ( 3 ) page: 1445-1462   2011

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  18. Moduli of Plane Quartics, Goepel Invariants and Borcherds Products Reviewed

    Shigeyuki Kondo

    International Mathematics Research Notices   Vol. 2011 ( 12 ) page: 2825--2860   2011

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1093/imrn/rnq190

  19. The moduli space of 8 points on P^1 and automorphic forms Reviewed

    Shigeyuki Kondo

    Algebraic Geometry (ed. by J.H.Keum,S. Kondo), Contemporary Mathematics, AMS   Vol. 422 ( 89--106 )   2007

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  20. Moduli spaces of K3 surfaces and complex ball quotients Reviewed

    Igor Dolgachev, Shigeyuki Kondo

    Arithmetic and Geometry around hypergeometric functions, Progress in Mathematics, Birkhauser   Vol. 260   page: 43--100   2007

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    Authorship:Lead author   Language:English  

  21. The moduli space of 5 points on P^1 and K3 surfaces Reviewed

    Shigeyuki Kondo

    Arithmetic and Geometry around hypergeometric functions, Progress in Mathematics, Birkhauser   Vol. 260   page: 189--206   2007

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  22. Maximal subgroups of the Mathieu group M23 and symmetric automorphisms of supersingular K3 surfaces Reviewed

    Shigeyuki Kondo

    International Mathematics Research Notices   Vol. 2006   page: 1--9   2006

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  23. A complex ball uniformization of the moduli space of cubic surfaces via periods of K3 surfaces Reviewed

    Igor Dolgachev, Bert van Geemen, Shigeyuki Kondo

    J. reine angew. Math.   Vol. 588   page: 99-148   2005

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  24. *A supersingular K3 surface in characteristic 2 and the Leech lattice Reviewed

    Igor Dolgachev, Shigeyuki Kondo

    International Mathematics Reserch Notices   Vol. 2003 ( 1 ) page: 1-23   2003.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  25. The moduli space of curves of genus 4 and Deligne-Mostow's complex reflection groups Invited Reviewed

    Shigeyuki Kondo

    Advanced Studies in Pure Mathematics   Vol. 36   page: 383-400   2002

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  26. The moduli space of Enriques surfaces and Borcherds products Reviewed

    Shigeyuki Kondo

    Journal of Algebraic Geometry   Vol. 11   page: 601-627   2002

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  27. The automorphism groups of Kummer surfaces associated with the product of two elliptic curves Reviewed

    JongHae Keum, Shigeyuki Kondo

    Transactions of American Mathematical Society   Vol. 353 ( 4 ) page: 1469-1487   2001

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    Language:English   Publishing type:Research paper (scientific journal)  

  28. *A complex hyperbolic structure for the moduli space of curves of genus three Reviewed

    Shigeyuki Kondo

    J. reine angew.Math.   Vol. 525   page: 219-232   2000

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    Language:English   Publishing type:Research paper (scientific journal)  

  29. On the Kodaira dimension of the moduli space of K3 surfaces II Reviewed

    Shigeyuki Kondo

    Composition Mathematica   Vol. 116   page: 111-117   1999

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    Language:English   Publishing type:Research paper (scientific journal)  

  30. The maximum order of finite groups of automorphisms of K3 surfaces Reviewed

    Shigeyuki Kondo

    American Journal of Mathematics   Vol. 121   page: 1245-1252   1999

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    Language:English   Publishing type:Research paper (scientific journal)  

  31. *Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of K3 surfaces Reviewed

    Shigeyuki Kondo

    Duke Mathematical Journal   Vol. 92 ( 3 ) page: 593-603   1998

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    Language:English   Publishing type:Research paper (scientific journal)  

  32. *The automorphism group of a generic Jacobian Kummer surface Reviewed

    Shigeyuki Kondo

    J. Algebraic Geometry   Vol. 7   page: 589-609   1998

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    Language:English   Publishing type:Research paper (scientific journal)  

  33. *The rationality of the moduli space of Enriques surfaces Reviewed

    Shigeyuki Kondo

    Compositio Mathematica   Vol. 91   page: 151--173   1994

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  34. On the kodaira dimension of the moduli space of K3 surfaces Reviewed

    Shigeyuki Kondo

    Composition Mathematica   Vol. 89   page: 251-299   1993

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    Language:English   Publishing type:Research paper (scientific journal)  

  35. Quadratic forms and K3, Enriques surfaces Invited Reviewed

    Shigeyuki Kondo

    Sugaku Expositions (American Mathematical Society)   Vol. 6 ( 1 ) page: 53-72   1993

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    Authorship:Lead author   Language:English  

  36. Automorphisms of algebraic K3 surfaces which act trivially on Picard groups Reviewed

    Shigeyuki Kondo

    J. Math. Soc. Japan   Vol. 44   page: 75-98   1992

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    Language:English   Publishing type:Research paper (scientific journal)  

  37. 二次形式とK3曲面-Enrigues曲面 Reviewed

    金銅誠之

    数学   Vol. 42   page: 4   1990

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    Language:Japanese  

  38. Algebraic K3 surfaces with finite automorphism groups Reviewed

    Shigeyuki Kondo

    Nagoya Math. J.     page: 116   1989

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    Language:English   Publishing type:Research paper (scientific journal)  

  39. On the Albanese Variety of the moduli space of polarized K3 surfaces Reviewed

    Shigeyuki Kondo

    Invent. math.     page: 91   1988

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    Language:English   Publishing type:Research paper (scientific journal)  

  40. Enriques surfaces with finite automorphism groups Reviewed

    Shigeyuki Kondo

    Japan. J. Math.   Vol. 12 ( 2 ) page: 191-282   1986

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    Language:English   Publishing type:Research paper (scientific journal)  

  41. On algebraic K3 surfaces with finite automorphism groups Reviewed

    Shigeyuki Kondo

    Proc. Japan Acad.   Vol. 62   page: 2   1986

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    Language:English   Publishing type:Research paper (scientific journal)  

  42. On automorphisms of algebraic K3 surfaces which act trivially on Picard groups Reviewed

    Shigeyuki Kondo

    Proc. Japan Acad.   Vol. 62   page: 2   1986

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  43. Type II degenerations of K3 surfaces Reviewed

    Shigeyuki Kondo

    Nagoya Math. J.     page: 99   1985

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    Language:English   Publishing type:Research paper (scientific journal)  

▼display all

Books 3

  1. K3 曲面と保型形式

    金銅 誠之( Role: Contributor)

    数理科学, 59巻 2号、サイエンス社  2021.2 

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    Total pages:100   Responsible for pages:7   Language:Japanese Book type:Textbook, survey, introduction

  2. K3 surfaces

    Shigeyuki Kondo( Role: Sole author)

    European Mathematical Society Publishing House  2020.3  ( ISBN:978-3-03719-208-5

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    Total pages:236   Responsible for pages:236   Language:English Book type:Scholarly book

    DOI: 10.4171/208

  3. K3曲面

    金銅誠之( Role: Sole author)

    共立出版  2015.8 

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    Language:Japanese

Presentations 88

  1. The automorphism group of a generic Kummer surface International conference

    Algebraic Geometry (Leiden) 

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    Event date: 1997.3

    Language:English   Presentation type:Oral presentation (invited, special)  

  2. Kummer曲面の自己同型群

    代数幾何学シンポジウム城崎 

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    Event date: 1997.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  3. The automorphism group of a generic Kummer surface International conference

    The workshop on reflection groups and applications,Trieste, SISSA, Italy 

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    Event date: 1998.1

    Language:English   Presentation type:Oral presentation (invited, special)  

  4. The Kodaira dimension of the moduli of K3 surfaces International conference

    Workshop on automorphic products (Max-Planck Institute, Bonn) 

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    Event date: 1999.3

    Language:English   Presentation type:Oral presentation (invited, special)  

  5. Niemeier lattices, Mathieu groups and finite groups of automorphisms of K3 surfaces

    日本数学会代数分科会特別講演 

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    Event date: 1999.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  6. Niemeier lattices, Mathieu groups and finite groups of automorphisms of K3 surfaces International conference

    Moonshine workshop (University of Montreal) 

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    Event date: 1999.5

    Language:English   Presentation type:Oral presentation (invited, special)  

  7. K3曲面の自己同型と曲線のモジュライ

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    Event date: 2000.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  8. Automorphisms of K3 surfaces and the moduli of curves of genus 3,4 International conference

    Conference: Algebraic Geometry at Azumino 

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    Event date: 2000.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  9. The moduli of Enriques surfaces and Borcherds products

    Mini workshop at Sapporo 

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    Event date: 2000.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  10. The moduli of Enriques surfaces and Borcherds products International conference

    Conference: Algebraic Geometry, KIAS, Korea 

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    Event date: 2000.9

    Language:English   Presentation type:Oral presentation (invited, special)  

  11. The moduli of Enriques surfaces and Borcherds products

    Conference: Arithmetic and Algebraic Geometry (University of Tokyo) 

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    Event date: 2001.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  12. The moduli of Del Pezzo surfaces, K3 surfaces and complex ball uniformization

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    Event date: 2001.8

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  13. Borcherds products and algebraic geometry

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    Event date: 2002.7

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  14. IV型領域、Complex ball の arithmetic quotient をモジュライに持つ多様体の例

    IV型領域上の保型形式(京都大学数理解析研究所) 

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    Event date: 2002.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  15. The moduli of 8 points on P1 and automorphic forms International conference

    Algebraic Geometry (Prof. Dolgachev's 60) at Soeul 

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    Event date: 2004.7

    Language:English   Presentation type:Oral presentation (invited, special)  

  16. A complex ball uniformization of the moduli spaces of del Pezzo surfaces International conference

    Komplexe Geometry (Oberwolfach) 

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    Event date: 2004.8

    Language:English   Presentation type:Oral presentation (invited, special)  

  17. The moduli of 8 points on P1 and automorphic forms on a bounded domain of type IV

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    Event date: 2004.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  18. A complex ball uniformization for the moduli space of del Pezzo surfaces via periods of K3 surfaces

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    Event date: 2004.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  19. A complex ball uniformization of the moduli spaces of del Pezzo surfaces International conference

    Geometry and aritmetic around hypergeometric functions (Istanbul) 

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    Event date: 2005.6

    Language:English   Presentation type:Oral presentation (invited, special)  

  20. The moduli space of 8 points on the projective line and automorphic forms International conference

    Modular Forms, Automorphic Forms andRelated Moduli Spaces(Universita'di Roma "La Sapienza") 

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    Event date: 2005.9

    Language:English   Presentation type:Oral presentation (invited, special)  

  21. The moduli space of 8 points on the projective line and automorphic forms International conference

    Modular forms (Schiermonnikoog) 

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    Event date: 2006.10

    Language:English   Presentation type:Oral presentation (invited, special)  

  22. The moduli of plane quartics and Borcherds products International conference

    Modular forms and Moduli spaces, Saint-Petersburg, Russia, Satellite meeting for festival dedicated to 300th birthday of Leonhard Euler 

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    Event date: 2007.7

    Language:English   Presentation type:Oral presentation (invited, special)  

  23. The moduli of plane quartics, Goepel invariants and Borcherds products

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    Event date: 2007.8

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  24. 平面4次曲線のモジュライと Borcherds products

    Hodge理論・退化・特異点の代数幾何とトポロジー研究集会(第4回) 

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    Event date: 2008.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  25. Non-symplectic automorphisms of K3 surfaces and ball quotients International conference

    Active period on Moduli Jun–Jul 2008 at Warwick 

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    Event date: 2008.7

    Language:English   Presentation type:Oral presentation (invited, special)  

  26. Uniformizations for the moduli of curves of genus 3,4 and 6 International conference

    Workshop on Moduli Spaces (Sogang University) 

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    Event date: 2009.1

    Language:English   Presentation type:Oral presentation (invited, special)  

  27. Del Pezzo 曲面のモジュライと Borcherds products

    成木勇夫先生退職記念研究会「表現的幾何」(名古屋大学) 

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    Event date: 2009.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  28. 平面4次曲線のモジュライと保型形式

    埼玉大学理学部数学教室談話会 

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    Event date: 2009.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  29. Moduli of plane quartics, Goepel invariants and Borcherds products International conference

    Moduli and Discrete Groups at RIMS 

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    Event date: 2009.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  30. K3 surfaces and the Leech lattice International conference

    Algebraic surfaces and related topics (POSTECH in Pohang) 

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    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (invited, special)  

  31. The moduli spaces of Enriques, Coble surfaces and automorphic forms International conference

    Lie algebras, vertex algebras and automorphic forms, at ICMS,Edinburgh 

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    Event date: 2009.9

    Language:English   Presentation type:Oral presentation (invited, special)  

  32. IV型領域上の保型形式とモジュライ

    京都大学理学部数学教室大談話会 

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    Event date: 2009.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  33. The Leech lattice and K3 surfaces

    Worshop on "Geometry of lattices and infinite dimensional Lie algebras", IPMU, 東京大学 

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    Event date: 2010.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  34. The supersingular K3 surface with Artin invariant 1 in characteristic 2 (revisited) International conference

    Workshop on elliptic surfaces and K3 surfacesat the Humboldt Universitaet in Berlin 

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    Event date: 2010.7

    Language:English   Presentation type:Oral presentation (invited, special)  

  35. The supersingular K3 surface with Artin invariant 1 in characteristic 2 and the Leech lattice International conference

    "Perspectives on Algebraic Varieties" in Trento 

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    Event date: 2010.9

    Language:English   Presentation type:Oral presentation (invited, special)  

  36. The moduli of the hessian quartics of cubic surfaces and automorphic forms International conference

    Arithmetic and Algebraic Geometry 2011 

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    Event date: 2011.1

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  37. Finite groups of symplectic automorphisms of K3 surfaces and the Mathieu group M_{23}

    The elliptic genus of K3 surfaces and the Mathieu group M_{24} 

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    Event date: 2011.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  38. K3曲面の幾何と Leech 格子

    金銅誠之

    熊本大学理学部数学教室談話会 

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    Event date: 2011.6

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  39. K3 and Enriques surfaces International conference

    Workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds 

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    Event date: 2011.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Canada  

  40. Maximal subgroups of the Mathieu group M_{23} and symplectic automorphisms of supersingular K3 surfaces

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    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  41. The moduli spaces of hessian quartic surfaces, Enriques surfaces, and automorphic forms International conference

    Automorphic forms and Moduli spaces,2011 

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    Event date: 2011.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:France  

  42. The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces International conference

    Arithmetic and Algebraic Geometry 2012 

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    Event date: 2012.2

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  43. K3 曲面の幾何と Leech 格子

    金銅誠之

    日本数学会年会特別講演 

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    Event date: 2012.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:東京理科大学   Country:Japan  

  44. The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces International conference

    Shigeyuki Kondo

    WCU mini-workshop on classification and construction of algebraic varieties 

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    Event date: 2012.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Korea, Republic of  

  45. K3 曲面の幾何と保型形式

    金銅誠之

    大談話会 

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    Event date: 2012.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:名古屋大学大学院多元数理科学研究科   Country:Japan  

  46. K3 surfaces and Leech roots

    Shigeyuki Kondo

    Conference on Groups, VOAs and Related Structures in Honor of Masahiko Miyamoto 

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    Event date: 2012.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  47. The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces International conference

    Shigeyuki Kondo

    Nouvelles directions en arithmétique et géométrie des surfaces algébriques  

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    Event date: 2013.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:France  

  48. K3曲面のモジュライと保型形式

    金銅誠之

    金沢大学数理学談話会 

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    Event date: 2013.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:金沢大学   Country:Japan  

  49. On certain duality of Neron-Severi lattices of supersingular K3 surfaces International conference

    Shigeyuki Kondo

    The 6th Pacific RIM Conference on Mathematics 

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    Event date: 2013.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  50. On certain duality of Neron-Severi lattices of supersingular K3 surfaces International conference

    Shigeyuki Kondo, Shimada Ichiro

    Classification of Algebraic Varieties and related topics 

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    Event date: 2013.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Italy  

  51. The automorphism groups of some K3 surfaces and the Leech lattice International conference

    Shigeyuki Kondo

    Moduli spaces and self-maps 

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    Event date: 2014.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  52. A certain duality of Neron-Severi lattices of supersingular K3 surfaces International conference

    Shigeyuki Kondo

    K3 surfaces and their moduli 

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    Event date: 2014.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Netherlands  

  53. Igusa quartic and Borcherds products International conference

    Shigeyuki Kondo

    Algebras, Groups and Geometries 2014 

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    Event date: 2014.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  54. Igusa quartic and Borcherds products International conference

    Shigeyuki Kondo

    Seoul ICM 2014 Satellite Conference on Algebraic and Complex Geometry 

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    Event date: 2014.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  55. A certain duality of Neron-Severi lattices of supersingular K3 surfaces

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    Event date: 2014.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  56. Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1 International conference

    Shigeyuki Kondo

    K3, Enriques surfaces and related topics 

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    Event date: 2014.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  57. The Leech lattice and the automorphism group of a generic Kummer surface International conference

    London Mathematical Society -- EPSRC Durham Symposium New Moonshines, Mock Modular Forms and String Theory 

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    Event date: 2015.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:United Kingdom  

  58. Enriques surfaces with a finite group of automorphisms in characteristic 2 International conference

    Workshop on Algebraic Geometry 

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    Event date: 2015.10 - 2015.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:China  

  59. An application of Borcherds products

    18th Autumn Workshop on Number Theory 

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    Event date: 2015.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  60. Enriques surfaces in characteristic 2 with a finite group of automorphisms

    Higher dimensional algebraic geometry and around, Kobe-Kyoto, 2016 

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    Event date: 2016.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  61. Enriques surfaces in characteristic 2 with finite automorphism group International conference

    Shigeyuki Kondo

    Moduli spaces and Modular Forms 

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    Event date: 2016.4

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Germany  

  62. Enriques surfaces in characteristic 2 with a finite gropu of automorphisms Invited International conference

    Shigeyuki Kondo

    The conference "Nordic Number theory Network Days IV" 

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    Event date: 2016.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Copenhagen   Country:Denmark  

  63. On Enriques surfaces with finite automorphism gropu in characteristic 2 Invited International conference

    Shigeyuki Kondo

    Workshop on algebraic surfaces 

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    Event date: 2016.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Leibniz Universität Hannover   Country:Germany  

  64. Classification of Enriques surfaces with finite automorphism gropu in characteristic 2 Invited International conference

    Shigeyuki Kondo

    Algebraic Geometry and Integrable Systems 

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    Event date: 2016.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  65. Classification of Enriques surfaces with finite automorphism gropu in characteristic 2 Invited International conference

    Shigeyuki Kondo

    the Legacy of Emmy Noether and Gottingen Mathematics 

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    Event date: 2016.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Yau Mathematical Science Center, Sanya   Country:China  

  66. JongHae Keum's mathematical work, on the occasion of his 60th birthday Invited International conference

    Shigeyuki Kondo

    Algebraic Geometry Conference - in honor of JongHae Keum's 60th birthday 

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    Event date: 2017.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Busan, Korea   Country:Korea, Republic of  

  67. Classification of Enriques surfaces with finite automorphism group in characteristic 2 Invited International conference

    Workshop on Calabi-Yau manifolds, Arithmetic, Geometry and Physics 

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    Event date: 2017.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  68. Classification of Enriques surfaces with finite automorphism group in characteristic 2 International conference

    Shigeyuki Kondo

    Classification and moduli theory of algebraic varieties 

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    Event date: 2017.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Ischia, Italy   Country:Italy  

  69. Fano's example of Enriques surfaces -- revisited Invited

    Shigeyuki Kondo

    K3 Surfaces and Related Topics - the 17th International Conference, Graduate School of Mathematics 

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    Event date: 2017.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  70. Classification of Enriques surfaces with finite automorphism group in characteristic 2 Invited International conference

    Crystals and Geometry in Characteristic p 

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    Event date: 2018.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Munich   Country:Germany  

  71. Enriques 曲面の魅力:モジュライと自己同型 Invited

    金銅誠之

    東京工業大学大岡山談話会 

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    Event date: 2018.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京工業大学   Country:Japan  

  72. Borcherds products and K3 surfaces Invited International conference

    Shigeyuki Kondo

    Working Workshop on Calabi-Yau Varieties and Related Topics 

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    Event date: 2018.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Gakushuin University   Country:Japan  

  73. Classification of Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1 Invited International conference

    Shigeyuki Kondo

    Differential, Algebraic and Topological Methods in Complex Algebraic Geometry 

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Cetraro, Italy   Country:Italy  

  74. Enriques surfaces with finite automorphism group Invited International conference

    Shigeyuki Kondo

    2018 joint meeting of the Korean Mathematical Society and the German Mathematical Society 

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    Event date: 2018.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul, Korea   Country:Korea, Republic of  

  75. Enriques surfaces and the Leech lattice Invited International conference

    Shigeyuki Kondo

    Workshop on Birational Geometry and Related Topics 

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    Event date: 2018.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China   Country:China  

  76. Enriques 曲面に魅せられて Invited International conference

    金銅誠之

    岡シンポジウム 

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    Event date: 2018.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:奈良女子大学   Country:Japan  

  77. K3 surfaces and ball quotients Invited International conference

    Shigeyuki Kondo

    Ball Quotient Surfaces and Lattices 

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    Event date: 2019.2 - 2019.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:CIRM, Frnace   Country:Japan  

  78. Enriques surfaces and the Leech lattice (after Brandhorst and Shimada) Invited International conference

    Shigeyuki Kondo

    Seminar Algebraic Geometry 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Bonn University   Country:Germany  

  79. Be fascinated by Enriques surfaces Invited International conference

    Shigeyuki Kondo

    Mathematical Colloquium 

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    Event date: 2019.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Düsseldorf University   Country:Germany  

  80. 格子とK3曲面--24次元の世界-- Invited

    金銅誠之

    2019.12.6  中央大学理工学部

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    Event date: 2019.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

  81. Two most algebraic K3曲面とKummer曲面 Invited

    金銅誠之

    2019.12.7  中央大学理工学部

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    Event date: 2019.12

    Language:Japanese   Presentation type:Symposium, workshop panel (public)  

  82. Enriques surfaces and the Leech lattice (after Brandhorst and Shimada) Invited

    金銅誠之

    第15回代数・解析・幾何学セミナー   2020.2.14 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Symposium, workshop panel (public)  

    Venue:鹿児島大学理学部  

  83. Enriques surfaces and Leech lattice Zoom meeting Invited International conference

    Shigeyuki Kondo

    Japanese-European symposium on symplectic varieties and moduli spaces  2020.9.7 

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    Event date: 2020.9

    Language:English   Presentation type:Symposium, workshop panel (nominated)  

  84. Enriques surfaces and Leech lattice (Part II) Invited

    Shigeyuki Kondo

    Japanese-European symposium on symplectic varieties and moduli spaces, Zoom meeting  2020.9.10 

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    Event date: 2020.9

    Language:English   Presentation type:Symposium, workshop panel (nominated)  

  85. Enriques surfaces and Leech lattice Invited International conference

    Shigeyuki Kondo

    Algebraic geometry and arithmetic: a conference on the occasion of V.V. Nikulin 70th birthday, Zoom meeting  2020.10.23 

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    Event date: 2020.10

    Language:English   Presentation type:Symposium, workshop panel (nominated)  

  86. 有限自己同型群を持つ Coble 曲面 Invited

    金銅誠之

    森重文先生古希講演会 Zoom meeting  2021.2.22 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Symposium, workshop panel (nominated)  

  87. Coble surfaces with finite automorphism group Invited International conference

    Shigeyuki Kondo

    Algebraic Geometry Seminar, Universitat des Saarlandes  2022.1.14 

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    Event date: 2022.1

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Zoom meeting   Country:Germany  

  88. 有限自己同型群を持つ Coble 曲面の分類 Invited

    金銅誠之

    城崎代数幾何学シンポジウム  2021.10.29 

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    Event date: 2021.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Zoom meeting  

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KAKENHI (Grants-in-Aid for Scientific Research) 12

  1. New developments of computer-aided research in algebraic geometry

    Grant number:20H01798  2020.4 - 2025.3

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    Authorship:Coinvestigator(s)  Grant type:Competitive

  2. 格子、保型形式とK3曲面、エンリケス曲面の研究

    Grant number:20H00112  2020.4 - 2025.3

    基盤(A)

    金銅 誠之

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\34060000 ( Direct Cost: \26200000 、 Indirect Cost:\7860000 )

    2017年に8次元および24次元の球充填問題が解決されたことは記憶に新しい。定値の格子の一つであるLeech格子が24次元の解を与えている。この問題は3次元以下を除けば未解決であったことを考えれば、24次元の世界が特に興味深いと考えられる。一方、K3曲面のオイラー数は24であり、全コホモロジー群は符号が (4,20) の不定値の24次元格子である。不思議なことにK3曲面の幾何学と定値の24次元格子とは相性が良いことが分かってきた。K3曲面やその商であるエンリケス曲面の幾何学と24次元格子が深く関係していると考えられる。この観点を取り入れ、総合的にK3曲面、エンリケス曲面の研究を進める。

  3. Research of lattices, automorphic forms and moduli spaces

    Grant number:15H05738  2015.5 - 2020.3

    Kondo Shigeyuki

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\88920000 ( Direct Cost: \68400000 、 Indirect Cost:\20520000 )

    We studied symmetries of manifolds from a wide-angle. We obtained a complete classification of Enriques surfaces with finite automorphism group and results on automorphisms of K3 and Enriques surfaces related with complex dynamical systems, and discovered a new phenomenon of Enriques surfaces by using the theory of a famous lattice, called Leech lattice, in sphere packing problem. And we studied moduli problems. In particular, we determined an important invariant, called the Kodaira dimensions, of some moduli spaces by applying the theory of automorphic forms. We also obtained several results related with Mathematical Physics and representation theory, for example, a duality phenomenon in Mathieu moonshine.

  4. 格子、保型形式とモジュライ空間の総合的研究

    2015.4 - 2020.3

    科学研究費補助金  基盤研究(S)

    金銅誠之

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    Authorship:Principal investigator 

  5. Foundations of rigid geometry from birational viewpoint

    Grant number:15H03607  2015.4 - 2019.3

    FUJIWARA KAZUHIRO

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    Authorship:Other 

    Aimed for establishing foundational aspects of rigid geometry, "Foundations of rigid geometry I" (joint with F. Kato at titech) was published from EMS (2018). A new aspect, i.e., spectral theory of filtered rings, is added during the project. Also, perfectoid spaces, which have close connection to rigid geometry, are put into our plan. After P. Scholze's introduction, many applications of perfectoid spaces are known up to now. The principal investigator has tried to understand phenomena behind cohomological purity conjectures from perfectoid viewpoint, and has given a new proof of the absolute purity conjecture.

  6. 格子、保型形式とモジュライ空間の総合的研究

    2010.4 - 2015.3

    科学研究費補助金  基盤研究(S)

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    Authorship:Principal investigator 

  7. 代数幾何学の視点を用いた頂点作用素代数の研究

    2008.4 - 2011.3

    科学研究費補助金  萌芽研究

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    Authorship:Principal investigator 

  8. 格子、保型形式とモジュライ空間の研究

    2006.4 - 2010.3

    科学研究費補助金  基盤研究 A

    金銅誠之

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    Authorship:Principal investigator 

  9. 代数幾何学を用いた有限単純群の研究

    2005 - 2008.3

    科学研究費補助金  萌芽研究,課題番号:17654004

    金銅誠之

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    Authorship:Principal investigator 

  10. 格子、保型形式とモジュライ空間の研究

    2002.4 - 2006.3

    科学研究費補助金  基盤研究(A),課題番号:14204001

    金銅誠之

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    Authorship:Principal investigator 

  11. 代数幾何学的手法によるモンスターの研究

    1999 - 2001

    科学研究費補助金  萌芽

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    Authorship:Principal investigator 

  12. K3 曲面の研究

    1998 - 2000

    科学研究費補助金  基盤研究 (B)

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    Authorship:Principal investigator 

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Teaching Experience (On-campus) 2

  1. Linear Algebra II

    2011

  2. Linear Algebra I

    2011

Teaching Experience (Off-campus) 11

  1. 集中講義

    2020.6 The University of Tokyo)

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    Level:Postgraduate 

  2. 集中講義

    2018.6 Tokyo Institute of Technology)

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    Level:Postgraduate 

  3. 集中講義

    2013.5 Kanazawa University)

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    Level:Undergraduate (specialized) 

  4. 集中講義

    2011.6 Kumamoto University)

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    Level:Undergraduate (specialized) 

  5. 集中講義

    2011.5 The University of Tokyo)

  6. 集中講義

    2009.11 Kyoto University)

  7. 集中講義

    2009.5 Saitama University)

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    Level:Undergraduate (specialized) 

  8. 集中講義

    2005.5 The University of Tokyo)

  9. 集中講義

    2004.11 Tohoku University)

  10. 集中講義

    2004.5 Hokkaido University)

  11. 集中講義

    2002.12 Kyoto University)

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Academic Activities 4

  1. 日本数学会理事

    Role(s):Planning, management, etc.

    2019.6 - 2021.5

  2. 学術振興会学術システム研究センター専門研究員

    Role(s):Planning, management, etc., Review, evaluation, Planning/Implementing academic research

    2013.4 - 2016.3

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    Type:Scientific advice/Review 

  3. Associated editor of Mathematische Nachrichten International contribution

    Role(s):Review, evaluation

    - 2021.7

  4. Nagoya Mathematical Journal 編集委員 International contribution

    Role(s):Review, evaluation