数学 講演
1. 孤立特異点 の invariant と Hodge 構造, , 日本数学会特別講演, 1988
2. 単純K3-特異点について, 解析および代数多様体上の諸問題, 都立大学, 1988
* 渡辺公夫(筑波大)と共同
3. 正規孤立特異点 の $\kappa$ -次元について, 多変数関数論サマーセミナー, 松本,
1988
4. Gorenstein Fano 3-folds with isolated extremal singularities, 複素解析幾何
学とその周辺の研究, 京大数理研, 1988
5. 孤立特異点の三種の多重種数, 代数幾何学シンポジウム, 城崎, 1989
6. 単純K3-特異点の同時特異点除去, 特異点シンポジウム, , 横浜国大, 1989
7. On the simultaneous canonical models, 特異点小セミナー, 東工大, 1990
8. Classification of isolated singularities and simple K3-singularities,
Workshop on Singularity, 東工大, 1990
9. Simultaneous canonical modifications of normal isolated singularities,
Algebraic and Analytic Geometry, Satellite Conference of ICM90, 都立大学,
1990
10. Deformations of normal isolated singularities, 基本群と代数幾何学, 大阪大,
1991
11. Plurigenera of normal isolated singularities, College of Singularities
Trieste, Italy, 1991
12. A Fano 3-fold with non-rational singularities and a 2-dimensional basis,
International Workshop on Geometry and Topology, Hanoi, 1993
13. Holomorphic forms around a normal isolated singularity, Schafarevich
Seminar of Algebraic Geometry, Steklov Institute Moscow, 1993
14. A Fano 3-fold with non-rational singularities and a 2-dimensional basis,
International Geometrical Colloquim, Moscow, 1993
15. The canonical modifications of purely elliptic singularities, International
Conference of Singularities, Beijin Academia Sinica, 1994
16. Canonical resolutions of hypersurface singularities, Singularit\"atenwoche
Konstanz, Konstanz, 1994
17. 代数幾何学における特異点の研究, 猿橋賞受賞講演, 霞ヶ関ビル, 1995.5.20
18. The canonical modifications by weighted blouing-ups, AMS Summer
Institute 1995, Santa Cruz, 1995.7.24
19. 孤立特異点とHodge理論, 科研費重点領域シンポジウム Hodge理論と代数幾何,
1995.8.24
20. The canonical modifications of hypersurface singularities, Toric Variety,
Warwick, 1995.9.8
21. 正規孤立特異点の変形と標準モデル, 日本数学会特別講演, 東北大学, 1995.9.7
22. 孤立特異点の分類と標準モデル, 特異点冬の学校, 金沢大学, 1996.2.13 -
1996.2.16
23. Minimal, canonical and log-canonical model of hypersurface singularities,
特異点と基本群, 東北学院大学, 1996.3.23
24. Minimal, canonical and log-canonical models of hypersurface singularities,
Conference of Birational Geometry, Johns Hopkins University, 1996.4.10
25. Minimal models of divisors of compact toric varieties, Concluding work-
shop of Algebraic Geometry, Warwick University, 1996.7.22
26. Projective minimal models of divisors of toric varieties, Workshop on Singularities and the
geometry of analytic varietie, 東京都立大学, 1996.10.7
27. Minimal and canonical models of divisors of toric varieties, --relative
and compact versins--,
投影多様体/代数多様体の投影幾何＋特異点, 早稲田大学,1997.3.8
28. On _ for normal surface singularities, Prospect of Singularity Theory,
都立大学, 1997.7.9
29. Minimal model theorem for toric divisors, Seminar, Munster Univ., 1997.10.20
30. Descending chain condition of $K$ for normal surface singularities,Seminar,
Ruhr University Bochum,1997.10.23
31. Kodaira dimension of isolated singularities, Colloquim, Ruhr University
Bochum,
1997.10.24
32. Minimal models of divisors of toric varieties, Combinatorics and toric
geometry,
Oberwolfach 1997.10.27
33. トーリック多様体入門, Encounter with Math., 中央大学, 1998.2.6
34. Index of log-canonical singularities, 無限解析と幾何Esymplectic多様体, 高等研究所,
1998.3.11
35. DCC of $-K^2$ for surface singularities, Kurosh Conference, Moscow
State University,
1998.5
36. Some boundedness of automorphisms on log-canonical singularities, Singularities
in
Geometry and Topology, 北海道大学, 1998.7.10
37. Certain invariants on surface singularities, 関西微分幾何セミナー, 近畿大学, 1998.10.4
-
1998.10.5
38. Indices of log canonical singularities, 特異点とその応用, 京大数理研,1999.6.3
39. Hypersurface exceptional singularities, International Symposium of
Mathematics and
Mathematical Science, Calcutta, India, 2000.1.22
40. Hypersurface exceptional singularities, 退化, 被覆, 特異点の代数幾何とトポロジー研究集会,
東北学院大学, 2000.2.11
41. The geometric minimal models of analytic spaces, Conference on Algebra
and Algebraic
Geometry with Applications, Purdue University, 2000.7.24
42. The gemetric minimal models of analytic spaces, A NATO Advanced Study
Institute,
New developement in Singularity Theory, Newton Institute, Cambridge,
2000.8.4
43. The set of values of a certain invariant of surface singularities,
Number
Theory Seminar, Max-Planck Institut fuer Mathematik, 2000.5.10
Seminar at Hungary National Academy, Budapest 2000.5.12
Seminar at Konstanz University, Konstanz, Germany, 2000.5.14
Seminar at Institut Fourier, Universite Grenoble, France, 2000.10.19
Seminar at Institut de Mathematique de Luminy, Marseille, France,2000.10.23
44. The indices of log-canonical singularities of dimension three
Seminar at University of Basel, Switzerland, 2000.6.16
Seminar at Ruhr University Bochum, Germany, 2000.7.3
Seminar of Brieskorn, Bonn Universitaet, Germany, 2000.7.7
45. The geometric minimal models of analytic spaces, Oberseminar of Max-Planck
Institute,
Bonn, Germany, 2000.9.7
46. Hypersurface exceptional singularities, Symposium: Combinatorial Convexity
and Algebraic
Geometry, Oberwolfach, 2001.1.19
47. The invariant -K2 and continued fractions for 2-dimensional cyclic
quotient singularities,
International Sympodium on Singularity Theory and its applications,
Beijing, 2001.7.6
48. The greatest commonfactors of morphisms from non-singular spaces, "Algebraic
Geometry
in East Asia" in International Institute of Advanced Studies, ,
Kyoto, 2001.8.7
49. The greatest common factors of morphisms from non-singular spaces,
Conference of
Commutative Algebra 2001, Yokohama, 2001.8.21
50. Extremal functions and prime blow-ups, シンポジウム特異点の数理, 近畿大, 2001.11.12
51. Nash problem on arc families for singularities, Hodge理論と代数幾何学, 北海道大学,
2002.10.7
52. The Nash problem on arc families for singularities, Combinatorics,
Convexity and Algebraic
Geormetry, Oberwolfach, 2003.1.30
53. The Nash problem and the jet schemes of a toric variety, Workshop "Jets,
arcs and motivic
integration", Versailles University, 2003.2.25
54. Nash problem and arc spaces of toric varieties, "Integration on
arc spaces, elliptic genus
and chiral de Rham complex", Banff International Research Station,
2003.6.16
55. Arc families and valuations for a toric variety, Singularity theory
and its applications,
Sapporo Convention Center, 2003.9.19
56. Introduction to arc spaces I, II, 研究集会「特異点論における新しい方法と対象, 京大数理研，
2003.11.25
57. Arcs and valuations, "Classical algebraic geometry", Oberwolfach,
Germany, 2004.6.30
58. 孤空間とNash問題, 多変数関数論サマーセミナー, 三重, 2004.8.2
59. Nash problem for a non-normal singularity, The third Franco-Japonais
conference,
Singularities in Geometry and Topology, 北海道大学, 2004.9.13
60. Arcs, valuations and Nash map, 広島代数幾何学シンポジウム, 広島大学, 2004.11.18
61. The local Nash problem for a quasi-ordinary singularity, Resolution
of Singularities,
Factorization of Birational Mappings, and Toroidal Geometry, Banff International
Research
Station, Canada, 2004.12.13
62. The Nash problem and the local Nash problem, Periods -Around the Theory
of Primitive
Forms-, 京大数理研, 2004.1.26
63. Arc families and valuations, Workshop "Birational geometry, derived
categories and
singularities", Steklov Institute, Moscow, Russia, 2005.6.17
64. Irredu cible components of contact loci, Summer Institute of AlgebraicGerometry
Seattle,
University of Washington, Seattle, USA, 2005, 2005.8.4
65. A resolution of singularities of a toric variety and a non-degenerate
hypersurface,
Advanced school and workshop on singularities in geometry and topology,
ICTP, Trieste,
Italy, 2005.8.24 - 2005.8.26
66. International symposium "Singularities and Commutative Algebra",
Hamana-ko Curreac,
2005.9.16
67. Arcs and valuations, Algebraic Geometry in East Asia II, Hanoi, 2005.10.11
68. The Nash problem for a toric pair, Recent development in Higher dimensional
Algebraic
Geometry, JAMI conference, Johns Hopkins University, 2006.3.13
69. Introduction to jet schemes and arc spaces, I,II,III,iV (連続講演）短期共同研究集会,
Arc
spaces and multiplier ideals, 京大数理研, 2006.8.28, 2006.8.30, 2006.8.31,
2006.9.1,
(計5時間)
70. Arcs and divisors, Hayashibara Forum at IHES on Singularities, IHES
Paris, 2006.11.21
71. Smoothness criteria by jet schemes. Foruth Franco-Japanese Symposium
on Singularities,
立山国際ホテル, 2007.8.28
72. Arcs and valuations -some finiteness properties-, 城崎代数幾何学シンポジウム, 城崎大会議館
2007.10.26
73. Smoothness criteria by jet schemes. Algebraic Geometry and Commutative
Algebra Tokyo
2007, 東京大学, 2007.12.13
74. Toric varieties, monomial valuations and arc spaces, 研究集会「トーリック多様体の理論の展開
と応用」, 東北大学, 2008.1.10
75 . Introduction to arc spaces and the Nash problem, Fourth meeting for
Young
Mathematicians in Sedano, *8時間の連続講義, Sedano, Spain, 2008.2.4 - 2008.2.9
76. Geometric properties by jet schemes, Hayama Symposium on Complex Analysis
in Several
Variables XII, 葉山国際村センター, 2008.7.15
77. Geometric properties of jet schemes, Main Seminar at MSRI, , Berkeley,
California,
2009.3.9
78. Geometric properties of jet schemes, Harvard-MIT Algebraic Geometry
Seminar, Harvard
University, 2009.3.17
79. Singularities on jet schemes, Fifth Franco-Japanese Symposium on Singularities,
Strasbourg University, 2009.8.27
80. From jet schemes to the base scheme, Austrarian-Japanese Workshop on
Real and
Complex Singularities, Sydney University, 2009.9.16
81. From jet schemes to the base scheme --Isomorphism problems (global
and local)--
Workshop on Singularities, Oberwolfach, 2009.9.25
82. Isomorphism problem on jet schemes, Invariants in Algebraic Geometry,
東京大学,
2009.11.13
83. Mather discrepancy and arc spaces, Algebraic Geometry and its Applications
Abhyankar's
80th birthdayConference, Purdue University, 2010.9.17
84. 特異点の問題, 複素幾何学の諸問題, 京大数理研, 2010.9.7
85. Usual discrepancy versus Mather discrepancy, 特異点と多様体縺E幾何学, 山形大学,
2010.9.7
86. Arc spaces now, 研究集会「特異点とそのひろがり」, 京都大学, 2011.8.4
87. The arc space of a variety, 幾何学シンポジウム, 山口大学, 2011.8.9
88. Multiplier ideal via Mather discrepancy, 6th Franco-Japanese symposium
on Singularities,
九州大学, 2011.9.9
89. Geometry of arc space and algebraic geometry, 2011年度代数学賞受賞特別講演, 信州大学,
2011.9.28,
90. Applications of arc spaces to birational geometry I, II: Workshop Artin
Approximation and
Arcs. Ervin Schlessinger Institut Vienna, 2011.11.19
91. Jet closures and local isomorphism problem, Arithmetic and Algebraic
Geometry, 東京大学,
2012.2.15
92. Jet closures and local isomorphism problem, Topology of Singularities
in Dalat, Dalat
University (Vietnam), 2012.3.19
93. Mather mld and Shokurov's conjectures, 2012 Workshop on Moduli and
Birational
Geometry, Busan, 2012.7.12
94. Nash problem, arc spaces and applications, 12th International Workshop
on Real and
Complex Singularities, Sao Carlos, 2012.7.24
95. Applications of Mather discrepancy, 第57回代数学シンポジウム, 京都大学, 2012.8.22
96. On J-canonical singularities, 4th Workshop on Higher Dimensional Algebraic
Geometry,
台湾大学, 2013.3.28
97. Singularities with respect to Mather-Jacobian discrepancy, Workshop,The
Commutative
Algebra of Singularities in Birational Geometry: Multiplier Ideals,
Jets, Valuations, and
Positive Characteristic Methods, MSRI, Berkeley, 2013.5.9
98. MJ-discrepancy and Shokurov's conjecture, Workshop, Complex Algebraic
Geometry,
Oberwolfach, 2013.5.30,
99. Singularities with respect to Mather-Jacobian discrepancies, Geometry
and Topology of
Singular Varieties, Math. Institute, Hanoi, 2013.12.11
100. MJ-singularities and De Fernex-Hacon's singularities, Commutative
Algebra and its
interaction to Algebraic Geometry and Combinatorics, VIASM, Hanoi,
2013.12.17
101. MJ-singularities in positive characteristic, Commutative Algebra and
Singularity Theory,
Tateyama, 2014.7.29
102. Applications of arc space to singularities, workshop Artin Approximation
and singularities， Luminy， 2015. 2.2
103. Jet schemes and singularities in positive characteristic, 野田代数幾何学シンポジウム,
東京理科大学，2015.3.17
104. A complete intersection model and its applications, 研究集会「特異点と多様体の幾何学」,
草津セミナーハウス, 2015.9.23
105. A brief history of Nash problem,(Plenary Lecture) 34th Conference
of Simulation
technology,oyama International Conference Center, 2015.10.12
106. A complete intersection model and its applications, 3rd Franco-Japanese-Vietnamese
Symposium of Singularities, Hanoi, Vietnam, 2015, 12.3.
107. Complete intersection models and applications,Singularities and
Invariants, RIMS Kyoto, 2015.12.14.
108. On finite determinations of MJ-minimal log discrepancies,Tokyo-Princeton
Conference of
Algebraic Geometry. Princeton University, 2016. 5.7
109. Generic residual intersections and its applications. Global and local
methods in Algebraic
Geometry, University of Illinois, Chicago, 2016, 5.14
110. Application of jet schemes to singularities in positive characteristic,
Arc Schemes and
Sigularities, University of Rennes 1, Rennes, France, 2016.11.24
111. Injectivity problem of the homomorphism of an Artinian local ring, Problem
proposal
session of the workshop Lefschetz properties, Mittag-Leffler Institute,
Stockholm,
2017.7.11
112. Jet closures and the local isomorphism problem, Workshop Lefschetz
properties,
Mittag-Leffler Institute, Stockholm, 2017.7.14
113. Mather-Jacobian discrepancies and sigularities in positive characteristic,
Pacific Rim
International conference 3, Oaxaca, Mexico, 2017.8.17
114. Singularities with respect to Mather-Jacobian discrepancies in arbitrary
characteristic,
Australian-Japanese Workshop on Real and Complex Singularities VII,
The University of
Sydney, Australia, 2017.9.27
115.The Conjecture of Boundedness of number of blowing-ups to compute MJ-minimal
log
discrepancies in arbitrary characteristic, FJV 2017 Kagoshima,
The 5th Franco-Japanese-Vietnamese Symposium on Singularities, Kagoshima
University,
2017.10.29
116. Singularities with respect to Mather-Jacobian discrepancies, International
Conference on
Singularity Theory and Dynamical Systems-- in Memory of John Mather,
Tsinghua Sanya
International Mathematics Forum (TSIMF), Sanya, China, 2017.12.13
117. Singularities in positive characteristic, Workshop, singularities
and related topics,
University of Tokyo, 2018.7.27
118. Is a singularity determined by the jet schemes?, 代数幾何解析セミナー, Kagoshima
University, 2019.2.14
119. R-multiideal on a smooth surface in
positive characteristic, RIMS x OIST Joint-workshop:
“On the problem of resolution of singularities and its vicinity”, OIST, Okinawa, 2019.6.13
120. Birational invariants and arc spaces I, II, Workshop Singularities and
related topics, University
of Tokyo, 2019.7.29
121. A description of divisors by arcs and its applications, Algebraic
Geometry Symposium at
Kinosaki, 2019.10.22
122. Prime divisor with a good liftability of functions, RIMS Conference:
Rational points on higher
dimensional varieties RIMS Kyoto University, 2019.12.2
123. A new bridge between positive characteristic and characteristic 0, International conference on
Singularity Theory 2019, TSIMF Sanya, China, 2019.12.12
124. Uniform bound of the number of weighted blow ups to compute mld in
dimension 3. Zoom
Algebraic Geometry Seminar (ZAG Seminar) 2021.1.19
125. Uniform bound of the number of weighted blow ups to compute mld in dimension
3. OIST
Workshop Quantum Math, Singularities and Applications, (by zoom) 2021.2.8
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