?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2021-09-30
일정종료 2021-09-30
배경색상 #77CC00
Date :  September 30,  AM 10:30~11:30, 11:40~12:40  in Seoul Time
                                       AM 09:30~10:30, 10:40~11:40  in Taiwan time
Place : Zoom online 
Speaker : Chun-Ju Lai (Academia Sinica)
 
Title & Abstract
 
1. Schur-Weyl duality, old and new
 
In the beginning stage of representation theory, Schur's 1901 thesis on polynomial and rational representations of the general linear groups has played an influential role. A double centralizer property with the symmetric groups (i.e., Weyl groups of type A), now known as the Schur-Weyl duality, has been utilized to study the representation theory of the general linear Lie algebra and of the symmetric groups simultaneously. Interests in Schur's ideas still continue nowadays, in a modern setting. In this talk I will focus on the quantum Schur algebras of type A and go over the connection with the quantum groups via coordinate construction, with the Hecke algebras, and with rational Cherednik algebras.
 
2. Quantum symmetric pairs and Schur-type dualities
 
There are various (distinct) generalizations of the theory regarding Schur dualities beyond type A. For finite and affine classical types, the quantum symmetric pairs arise naturally from the double centralizer properties with Hecke algebras of finite and affine classical types. I will talk about a type B/C generalization joint with Nakano and Xiang, as well as an affine type C generalization joint with Fan, Li, Luo, Wang and Watanabe.
 
 


 

List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 4700
105 [QSMS-BK21 Symplectic Seminar 10 Mar] Mirror Symmetry for Log Calabi-Yau Surfaces qsms 2023.03.09 1212
104 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 1222
103 [Series of lectures 2/21, 2/23, 2/28] An introduction to geometric representation theory and 3d mirror symmetry qsms 2023.02.02 1229
102 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 1232
101 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 1243
100 [QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories qsms 2022.12.02 1245
99 [QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I qsms 2023.01.03 1246
98 [SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law qsms 2023.03.02 1257
97 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 1266
96 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 1280
95 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 1303
94 [SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami? qsms 2023.06.26 1303
93 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 1332
92 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 1334
91 [QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II qsms 2023.01.05 1335
90 [SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one qsms 2022.11.28 1337
89 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 1338
88 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 1355
87 [SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations qsms 2023.02.13 1356
86 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 1394
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8