Lecture Series on Representation Theory
정세화
129동 309호
0
83
05.06 13:53
| 구분 | 표현론 |
|---|---|
| 일정 | 2026-06-09(화) 10:00~11:30 |
| 세미나실 | 129동 309호 |
| 강연자 | Satoshi Naito (Institute of Science Tokyo) |
| 담당교수 | 권재훈 |
| 기타 |
Lecture Series 1
강연 시각: 오전 10시 ~11시 30분
강연 주제:Semi-infinite Lakshmibai-Seshadri paths and level-zero extremal weight modules over quantum affine algebras
강연자: Lecturer: Satoshi Naito (Institute of Science Tokyo)
Abstract: In this lecture.
I first define semi-infinite Lakshmibai-Seshadri (LS) paths, which are analogs of ordinary LS paths,
defined by using the semi-infinite Bruhat order in place of the ordinary Bruhat order on an affine Weyl group.
Then, I give the precise relation between semi-infinite LS paths and what we call level-zero LS paths.
Finally, I will explain how these semi-infinite LS paths provide a realization of the crystal bases of level-zero extremal weight modules over quantum affine algebras.