조회 수 2035 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 4705
105 [QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II qsms 2023.01.05 1335
104 [QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I qsms 2023.01.03 1246
103 [QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes qsms 2022.12.27 1140
102 [QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories qsms 2022.12.02 1246
101 [SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one qsms 2022.11.28 1339
100 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 1243
99 [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 1198
98 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 1211
97 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 1356
96 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 1267
95 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 1304
94 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 1170
93 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 1339
92 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 1281
91 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 1188
90 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 1233
89 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 1336
88 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 1332
87 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 1401
86 [QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras qsms 2022.08.25 1460
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8