qsms.math.snu.ac.kr - [QSMS Seminar 2021.08.23, 08.24] Affine PBW bases and affine MV polytopes

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

일정시작

2021-08-23

일정종료

2021-08-24

배경색상

#77CC00

반복주기

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

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