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홈 > 학술정보 >학술행사 > 세미나
아주대학교 수학과 세미나

Title
Flag varieties, polytopes, and integrable systems
Speaker
조윤형   (성균관대학교 )
Date
2019-02-11 16:30:00
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.
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