Event
01_1
| 제출번호(No.) | 0116 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra (AL) |
| 영문제목 (Title(Eng.)) |
Newton--Okounkov bodies of flag Bott--Samelson varieties |
| 저자(Author(s)) |
Naoki Fujita2, Eunjeong Lee1, Dong Youp Suh1 KAIST1, Tokyo Institute of Technology2 |
| 초록본문(Abstract) | Let $G$ be a simply-connected semisimple algebraic group over $\mathbb{C}$. A Bott--Samelson variety $Z$ is an iterated sequence of $\mathbb{C} P^1$-bundles which has an action of the Borel subgroup $B\subset G$. It is known that the set of holomorphic sections of a holomorphic line bundle $\mathcal L$ over $Z$ is a $B$-module, called a generalized Demazure module. Moreover with an appropriate choice of a valuation $v$, one can construct Newton--Okounkov body associated to $(Z, \mathcal L, v)$ which coincides with a generalized string polytope. In this talk, we introduce flag Bott--Samelson variety, which is a generalization of both Bott--Samelson variety and full flag variety, and moreover, as differentiable manifolds a flag Bott--Samelson variety can be considered as a flag Bott tower which has been introduced recently. Furthermore we study representation theoretic meanings of flag Bott--Samelson varieties. This talk is based on an on-going project with Naoki Fujita and Dong Youp Suh. |
| 분류기호 (MSC number(s)) |
05E10, 14M15 |
| 키워드(Keyword(s)) | flag Bott--Samelson varieties, generalized Demazure module, Newton--Okounkov bodies, flag Bott tower |
| 강연 형태 (Language of Session (Talk)) |
Korean |