Lecture Series on Representation Theory

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Lecture Series on Representation Theory

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구분 표현론
일정 2026-06-10(수) 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.

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