About the School

Access

Miscellaneous Information

Time Schedule

Lecture Notes

Abstracts of one-hour Lectures

Travel Information

Time Schedule (tentative)

1st week

July 29 (Monday) [Lecture Hall]

9:00-9:30 Guidance

9:30-11:00 Toshiyuki Kobayashi (The University of Tokyo)
"Introduction to Representation Theory of Real Reductive Lie Groups and Branching Problems" (Lecture 1)

11:30-13:00 Toshiyuki Kobayashi
"Introduction to Representation Theory of Real Reductive Lie Groups and Branching Problems" (Lecture 2)

[One-hour Lectures]

14:00-15:00 Huijun Fan (Peking University)
"Hodge-de Rham theorem of Landau-Ginzburg model"

15:15-16:15 Jongil Park (Seoul Natinal University)
"On the n-sphere Sn"

16:30-17:30 Victoria Vediushkina (Moscow State University)
"The topology of the generalized billiards bounded by arcs of the confocal quadrics"

July 30 (Tuesday) [Room 117]

9:30-11:00 Shuji Saito (The University of Tokyo)
"Introduction to local class field theory" (Lecture 1)

11:30-13:00 Yasuyuki Kawahigashi (The University of Tokyo)
"Introduction to operator algebras and their applications to mathematical physics" (Lecture 1)

[One-hour Lectures]

14:00-15:00 Shigeki Aida (The University of Tokyo)
"Stochastic differential equations and rough paths"

15:15-16:15 Kazuhiro Ishige (The University of Tokyo)
"Concavity properties for elliptic and parabolic equations"

16:30-17:30 Alexandre Ivanov (Moscow State University)
"Optimal Connections Problems and Geometry of Hausdorff and Gromov-Hausdorff Distances"

July 31 (Wednesday) [Room 117]

9:30-11:00 Shuji Saito
"Introduction to local class field theory" (Lecture 2)

11:30-13:00 Yasuyuki Kawahigashi
"Introduction to operator algebras and their applications to mathematical physics" (Lecture 2)

14:30-16:00 Yasuyuki Kawahigashi
"Introduction to operator algebras and their applications to mathematical physics" (Lecture 3)

16:30-18:00 Toshiyuki Kobayashi
"Introduction to Representation Theory of Real Reductive Lie Groups and Branching Problems" (Lecture 3)

August 1 (Thursday) [Room 117]

9:30-11:00 Shuji Saito
"Introduction to local class field theory" (Lecture 3)

11:30-13:00 Shuji Saito
"Introduction to local class field theory" (Lecture 4)

14:00-15:30 Toshiyuki Kobayashi
"Introduction to Representation Theory of Real Reductive Lie Groups and Branching Problems" (Lecture 4)

16:00-17:30 Toshiyuki Kobayashi
"Introduction to Representation Theory of Real Reductive Lie Groups and Branching Problems" (Lecture 5)

August 2 (Friday) [Room 117]

9:30-11:00 Shuji Saito
"Introduction to local class field theory" (Lecture 5)

11:30-13:00 Yasuyuki Kawahigashi
"Introduction to operator algebras and their applications to mathematical physics" (Lecture 4)

14:00-15:30 Yasuyuki Kawahigashi
"Introduction to operator algebras and their applications to mathematical physics" (Lecture 5)

2nd week

August 5 (Monday) [Room 117]

10:00-11:30 Cheol-Hyun Cho (Seoul Natinal University)
"Introduction to symplectic geometry toward mirror symmetry" (Lecture 1)

13:30-15:00 Zhiyu Tian (Peking University)
"Geometry of projective varieties: an introduction" (Lecture 1)

15:30-17:00 Georgiy Sharygin (Moscow State University)
"Introduction to K-theory and its applications" (Lecture 1)

August 6 (Tuesday) [Room 117]

10:00-11:30 Zhiyu Tian
"Geometry of projective varieties: an introduction" (Lecture 2)

13:30-15:00 Georgiy Sharygin
"Introduction to K-theory and its applications" (Lecture 2)

15:30-17:00 Cheol-Hyun Cho
"Introduction to symplectic geometry toward mirror symmetry" (Lecture 2)

August 7 (Wednesday) [Room 117]

10:00-11:30 Georgiy Sharygin
"Introduction to K-theory and its applications" (Lecture 3)

13:30-15:00 Cheol-Hyun Cho
"Introduction to symplectic geometry toward mirror symmetry" (Lecture 3)

15:30-17:00 Zhiyu Tian
"Geometry of projective varieties: an introduction" (Lecture 3)

August 8 (Thursday) [Room 117]

10:00-11:30 Cheol-Hyun Cho
"Introduction to symplectic geometry toward mirror symmetry" (Lecture 4)

13:30-15:00 Zhiyu Tian
"Geometry of projective varieties: an introduction" (Lecture 4)

15:30-17:00 Georgiy Sharygin
"Introduction to K-theory and its applications" (Lecture 4)

August 9 (Friday) [Room 117]

10:00-11:30 Zhiyu Tian
"Geometry of projective varieties: an introduction" (Lecture 5)

13:30-15:00 Georgiy Sharygin
"Introduction to K-theory and its applications" (Lecture 5)

15:30-17:00 Cheol-Hyun Cho
"Introduction to symplectic geometry toward mirror symmetry" (Lecture 5)