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