컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0222 |
|---|---|
| 분류(Section) | Invited Lecture |
| 분과(Session) | (TO) Topology (TO) |
| 발표시간(Time) | 19th-O-15:30 -- 16:10 |
| 영문제목 (Title(Eng.)) |
[2023년 대한수학회 상산젊은수학자상 수상강연] Topological and geometric properties of torus orbit closures in flag varieties |
| 저자(Author(s)) |
Eunjeong Lee1, Mikiya Masuda2, Seonjeong Park3 Chungbuk National University1, Osaka Central Advanced Mathematical Institute2, Jeonju University3 |
| 초록본문(Abstract) | Let $G$ be a semisimple Lie group, $T$ a maximal torus of $G$, and $B$ a Borel subgroup of $G$ containing $T$. For a parabolic subgroup $P$ containing $B$, the homogeneous space $G/P$ is a smooth projective algebraic variety, called a flag variety. If $P$ is minimal, that is, $P = B$, then we call $G/B$ a full flag variety. When $P$ is maximal, we call $G/P$ a Grassmannian variety. The left multiplication of $T$ on $G$ induces that on $G/P$. Considering $T$-orbit closures, we obtain lots of toric varieties including toric Schubert varieties and toric Richardson varieties. In this talk, we study topological and geometric properties of these toric varieties. This talk is based on joint work with Mikiya Masuda and Seonjeong Park. |
| 분류기호 (MSC number(s)) |
14M25, 14M15, 55N10 |
| 키워드(Keyword(s)) | Flag varieties, toric varieties, Schubert varieties |
| 강연 형태 (Language of Session (Talk)) |
Korean |