조회 수 313 추천 수 0 댓글 0
?

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 2021-08-23
일정종료 2021-08-24
배경색상 #77CC00
반복주기 1
반복단위 1.일(단위)

Date:  Aug 23 (Mon) 17:00~18:15   (GMT +9, Seoul)

           Aug 24 (Tue)   17:00~18:15   (GMT +9, Seoul)
Place:  Zoom online       

           Monday:   -  Link

                                 Meetiing ID:  893 4666 5210    

           Tuesday:   -  Link

                                 Meetiing ID:  810 2297 2240      
Speaker:  Dinakar Muthiah (University of Glasgow) 

Title: Affine PBW bases and affine MV polytopes

Abstract
Lusztig's PBW bases for finite-type quantum groups are an explicit construction of crystal bases. We now understand that the combinatorics of these bases is best described by MV (Mirković-Vilonen) polytopes. This is especially interesting because MV polytopes also appear in different contexts in different areas in representation theory.


In the first part of the lectures, I will recall the finite-type story and explain the relationship with MV polytopes. In the second part, I will recall the affine PBW bases constructed by Beck-Chari-Pressley, Akasaka, and Beck-Nakajima. I will explain how the combinatorics of affine PBW bases is exactly encoded by affine MV polytopes. This is joint work with Peter Tingley.

 

 

 

City Time 
Glasgow (GMT + 1) 09:00 ~ 10:15
Seoul  (GMT +9) 17:00 ~ 18:15

 

 

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 112
58 [QSMS Seminar 14,16 Dec] A brief introduction to differential graded Lie algebras I, II qsms 2021.11.29 40
57 [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry qsms 2021.11.19 62
56 [QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types qsms 2021.11.19 47
55 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility file qsms 2021.10.29 96
54 [QSMS Monthly Seminar] Quantum entanglement entropy in abelian arithmetic Chern-Simons theory qsms 2021.10.29 69
53 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions qsms 2021.10.20 75
52 [QSMS Seminar 2021.10.26, 10.28] Feigin-Semikhatov duality in W-superalgebras qsms 2021.10.13 148
51 [2021 KMS Annual Meeting] Related talks qsms 2021.10.05 163
50 [QSMS Monthly Seminar] Smoothing of Fano varieties and mutations qsms 2021.09.23 116
49 [QSMS Seminar 2021.10.12, 10.14] Vertex algebras and chiral homology I and II qsms 2021.09.23 198
48 [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities qsms 2021.09.10 308
47 [SNU Number Theory Seminiar] 2021.10.15 qsms 2021.09.09 134
46 [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds qsms 2021.09.03 224
45 [SNU Number Theory Seminiar] 2021.10.08 qsms 2021.08.23 20399
» [QSMS Seminar 2021.08.23, 08.24] Affine PBW bases and affine MV polytopes qsms 2021.08.17 313
43 [정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV qsms 2021.07.29 603
42 [사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry qsms 2021.07.05 478
41 [QSMS Seminar 2021.07.02] Lefschetz fibrations on cotangent bundles qsms 2021.06.29 44129
40 [QSMS Monthly Seminar] Closed orbits and Beatty sequences qsms 2021.06.24 631
39 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma qsms 2021.05.28 584
Board Pagination Prev 1 2 3 Next
/ 3