Toric varieties in the flag variety

학과 정기특강입니다.

1. 일시 : 2022년 11월 11일 (금) 16:00-17:00
2. 장소 : 아산이학관 526호
3. 연사 : 이은정 교수 (충북대학교 수학과)
4. 제목 : Toric varieties in the flag variety

5. 초록 : Let $G$ be a simple Lie group and let $B$ be a Borel subgroup. The homogeneous space $G/B$ becomes a smooth projective variety, called the flag variety. A maximal (complex) torus $T$ acts on the flag variety and this produces an interesting connection between geometry, combinatorics, and representation theory. In this talk, we study a family of the most interesting $T$-invariant subvarieties of the flag variety, called the Schubert varieties. We consider \emph{toric} Schubert varieties (with respect to the action of $T$) and their isomorphism classes. This talk is based on joint work with Mikiya Masuda and Seonjeong Park.