The MathNet Korea
Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

아주대학교 수학과 세미나
Title Flag varieties, polytopes, and integrable systems
Date 2019-02-11
Speaker 조윤형(성균관대학교)
Sponsors 2019-02-11
Host 아주대학교
Place 팔달관 621호
Abstract 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.