2021.09.10 11:38

# [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities

Views 571 Votes 0 Comment 0
?

#### Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

#### Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
일정시작 2021-09-30 2021-09-30 #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.

 Subject+ContentSubjectContentCommentUser NameNick NameUser IDTag
List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration 2021.09.09 514
78 weekplan_672_2020 2020.11.18 0
77 [초청강연 2020.11.27] Zeta함수와 L함수에 대한 역사적 고찰II 2020.11.23 31134
76 [초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰 2020.11.18 2945
75 [정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV 2021.07.29 775
74 [사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry 2021.07.05 646
73 [SNU Number Theory Seminiar] 2021.10.15 2021.09.09 385
72 [SNU Number Theory Seminiar] 2021.10.08 2021.08.23 20693
71 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility 2021.10.29 432
70 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions 2021.10.20 263
69 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes 2022.03.28 52
68 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal 2022.03.19 60
67 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ 2022.03.19 59
66 [SNU Number Theory Seminar 2022-06-03] TBA 2022.05.18 33
65 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations 2022.05.18 22
64 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three 2022.04.12 66
63 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves 2022.04.19 66
62 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups 2022.04.12 47
61 [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry 2021.11.19 312
60 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture 2021.05.28 995
59 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma 2021.05.28 777
Board Pagination Prev 1 2 3 4 Next
/ 4