세미나/포럼
[세미나/포럼] [2019.11.12.화] 수학과 위상조합세미나 개최 안내
- 세미나/포럼
- 교내
- 박수현
- 2019-11-11
안녕하세요. 아주대 위상조합 세미나를 아래와 같이 개최하고자 합니다.
많은 참여부탁드립니다.
제 목 : Quoric manifolds and torus actions of complexity one
연 사 : Anton A. Ayzenberg
[National Research University Higher School, Russia]
일 시 : 11월 12일 (화요일) 오후 5:00 - 6:00
장 소 : 팔달관 621호
초록:
If the compact torus T^k acts effectively on a smooth 2n-manifold X, with nonempty finite set of fixed points, we call the number n-k the complexity of the action. We are interested in actions of complexity one and the structure of their orbit spaces. I will give a brief overview of the results we have so far and concentrate on a particular class of examples: 8-dimensional quoric manifolds. A motivating example is the action of T^3 on HP^2.
Quoric manifolds were introduced by Jeremy Hopkinson in his doctoral thesis, and the term "quoric" stands as the abbreviation for "quaternionic quasitoric". These are 4n-manifolds with "locally standard actions'' of Sp(1)^n, the quaternionic torus, such that the orbit space is a simple polytope. Many notions from toric topology have their analogues in quaternionic case, however, since the acting group is noncommutative, one should proceed with certain care in this generalization. I think, there are many natural questions about quoric manifolds, topological, geometrical, and combinatorial, which haven't been answered yet.
위상조합 세미나는 아주대 수학과에서 위상수학과 조합수학 관련 주제로 열리고 있으며,
그동안 열렸던 위상조합 세미나 내용은 아래의 홈페이지에서 확인하실 수 있습니다.