Representation of Algebraic Groups and Quantum Groups

Representation Theory of Algebraic Groups and Quantum Groups

Program


The talks from August 1 (Wed) to August 6 (Mon) are in Room 3 -521 ,
while the talks from Augusut 7 (Tue) to August 10 (Fri) are in Room 8 - 410 .
There will be a Reception on August 9 (Thu) from 18:30 at Diamond Hotel

time Aug. 1 (Wed) Aug. 2 (Thu) Aug. 3 (Fri) Aug. 4 (Sat) Aug. 5 (Sun)
10:00 - 11:00 registration Kang 2 Kang 3 Nakajima 2 no lecture
11:15 - 12:15 registration Zelevinsky Nakajima 1 Lusztig 1 no lecture
13:45 - 14:45 Tanisaki Broue Kashiwara no lecture no lecture
15:00 - 16:00 Saito Xi Kleshchev no lecture no lecture
16:30 - 17:30 Kang 1 Ariki Naito no lecture no lecture

time Aug. 6 (Mon) Aug. 7 (Tue) Aug. 8 (Wed) Aug. 9 (Thu) Aug. 10 (Fri)
10:00 - 11:00 Lusztig 2 Mathieu 1 Jantzen 1 Mathieu 3 Jantzen 3
11:15 - 12:15 Nakajima 3 Lusztig 3 Mathieu 2 Jantzen 2 Lehrer
13:45 - 14:45 Vasserot Andersen Kirillov Bezrukavnikov Kawanaka
15:00 - 16:00 Ostrik Arkhipov Mathas Noumi Shoji
16:30 - 17:30 Gyoja Kaneda Springer Curtis no lecture


Wednesday,   August 1

10:00 - 12:15        Registration

12:15 - 13:45        Lunch break

13:45 - 14:45        T. Tanisaki    abstract
                                       Highest weight modules over affine Lie algebras
15:00 - 16:00        K. Saito    abstract
                                       Elliptic Lie groups
16:00 - 16:30        Tea break

16:30 - 17:30        S.-J. Kang    abstract
                                       Quantum groups and crystal bases


Thursday,   August 2

10:00 - 11:00        S. -J. Kang    abstract
                                       Perfect crystals and Young walls
11:15 - 12:15        A. Zelevinsky    abstract
                                       An introduction to cluster algebras
12:15 - 13:45        Lunch break

13:45 - 14:45        M. Broue    abstract
                                       Families of characters of cyclotomic Hecke algebras
15:00 - 16:00        N. Xi    abstract
                                       A property of distinguished involutions in an affine Weyl group of type $\tilde A_n$ (tentative)
16:00 - 16:30        Tea break

16:30 - 17:30        S. Ariki    abstract
                                       The representation type of Hecke algebras of type B

Friday,   August 3

10:00 - 11:00        S. -J. Kang    abstract
                                       Fock space representation of quantum affine algebras
11:15 - 12:15        H. Nakajima    abstract
                                       Quiver varieties and quantum affine algebras, I
12:15 - 13:45        Lunch break

13:45 - 14:45        M. Kashiwara    abstract
                                       On semisimple holonomic module conjecture
15:00 - 16:00        A. Kleshchev    abstract
                                       Projective representations of symmetric groups via Kac-Moody algebras
16:00 - 16:30        Tea break

16:30 - 17:30        S. Naito    abstract
                                       Twining character formula for Demazure modules

Saturday,   August 4

10:00 - 11:00        H. Nakajima    abstract
                                       Quiver varieties and quantum affine algebras, II
11:15 - 12:15        G. Lusztig    abstract
                                       Representations of graded Hecke algebras, I

Monday,   August 6

10:00 - 11:00        G. Lusztig    abstract
                                       Representations of graded Hecke algebras, II
11:15 - 12:15        H. Nakajima    abstract
                                       Quiver varieties and quantum affine algebras, III
12:15 - 13:45        Lunch break

13:45 - 14:45        E. Vasserot    abstract
                                       D-modules, formal loop spaces and chiral algebras
15:00 - 16:00        V. Ostrik    abstract
                                       Asymptotic Hecke algebra and central sheaves
16:00 - 16:30        Tea break

16:30 - 17:30        A. Gyoja    abstract
                                       Prehomogeneous vector spaces and representations

Tuesady,   August 7

10:00 - 11:00        O. Mathieu    abstract
                                       Connections on stable bundles, I
11:15 - 12:15        G. Lusztig    abstract
                                       Representations of graded Hecke algebras, III
12:15 - 13:45        Lunch break

13:45 - 14:45        H.H. Andersen    abstract
                                       Small cells and fusion rules
15:00 - 16:00        S. Arkhipov    abstract
                                       Algebraic construction of quasi-Verma modules in positive characteristic
16:00 - 16:30        Tea break

16:30 - 17:30        M. Kaneda    abstract
                                       On the Beilinson-Bernstein correspondence on the flag variety in positive characteristic

Wednesday,   August 8

10:00 - 11:00        J.C. Jantzen    abstract
                                       Representations of Lie algebras in prime characteristics, I
11:15 - 12:15        O. Mathieu    abstract
                                       Connections on stable bundles, II
12:15 - 13:45        Lunch break

13:45 - 14:45        A. Kirillov    abstract
                                       Birational Representations of Symmetric Groups, Combinatorics and Discrete Integrable Equations
15:00 - 16:00        A. Mathas    abstract
                                       Tilting modules for cyclotomic Schur algebras
16:00 - 16:30        Tea break

16:30 - 17:30        T.A. Springer    abstract
                                       Intersection cohomology of large Schubert varieties

Thursday,   August 9

10:00 - 11:00        O. Mathieu    abstract
                                       Connections on stable bundles, III
11:15 - 12:15        J.C. Jantzen    abstract
                                       Representations of Lie algebras in prime characteristics, II
12:15 - 13:45        Lunch break

13:45 - 14:45        R. Bezrukavnikov    abstract
                                       Localization type Theorems for modular representations and representations of quantum groups at a root of unity
15:00 - 16:00        M. Noumi    abstract
                                       Birational Weyl group actions, discrete integrable systems and tropical combinatorics
16:00 - 16:30        Tea break

16:30 - 17:30        C.W. Curtis    abstract
                                       On the Gelfand-Graev representations of finite reductive groups: Zeta functions and functional equations

18:30 - 20:30        Reception at Diamond Hotel

Friday,   August 10

10:00 - 11:00        J.C. Jantzen    abstract
                                       Representations of Lie algebras in prime characteristics, III
11:15 - 12:15        G.I. Lehrer    abstract
                                       Cell modules and standard modules for the affine Hecke algebra of type A
12:15 - 13:45        Lunch break

13:45 - 14:45        N. Kawanaka    abstract
                                       Sato-Welter games and Weyl groups of Kac-Moody Lie algebras
15:00 - 16:00        T. Shoji    abstract
                                       Green functions associated to complex reflection groups