세미나/포럼
[세미나/포럼] [2019.02.11.월] 수학과 위상조합세미나 개최 안내
- 세미나/포럼
- 교내
- 박수현
- 2019-02-07
안녕하세요. 아주대 위상조합 세미나를 아래와 같이 개최하고자 합니다.
많은 참여부탁드립니다.
제목 : Flag varieties, polytopes, and integrable systems
연사 : 조윤형 교수 (성균관대학교)
일시 : 2월 11일 월요일 16:30 - 17:30
장소 : 팔달관 621호
초록 :
In this talk, we discuss a certain integrable system, called a Gelfand-Cetlin system defined on a flag variety of type A, B, and D. We first illustrate the similarity and the difference between a GC system and a toric moment map, and explain an algorithm which allows us to “read off” the topology of a Gelfand-Cetlin fiber from the combinatorics of its image, called a Gelfand-Cetlin polytope. We also discuss so-called a string polytope, which can be thought of as a generalization of a Gelfand-Cetlin polytope, and related open questions. This is based on joint work with Yoosik Kim, and partially with Yoosik Kim, Eunjeong Lee and Kyeong-Dong Park.
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[내부세미나]
제목 : Bruhat Interval polytopes
연사 : 박선정 교수 (아주대학교)
일시 : 2월 11일 월요일 14:00 - 15:30
장소 : 팔달관 621호
초록 :
Given $v,w\in \mathfrak{S}_n$ with $v\leq w$, the Richardson variety~$X^v_w$ is the intersection of the Schubert variety$X_w$ and the opposite Schubert variety $X^v$. A Bruhat interval polytope~$Q_{v,w}$ is the convex hull of all permutation vectors $x = (x(1), x(2), . . . , x(n))$ with $v\leq x\leq w$. It is known that $Q_{v^{-1},w^{-1}}$ is the moment map image of $X^v_w\subset\mathrm{Fl}(\mathbb{C}^n)$. In this talk, we discuss the properties of Bruhat interval polytopes and some open problems.