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BIMSA Topology Seminar
The algebraic structure of cohomology of 4-dimensional toric orbifolds
The algebraic structure of cohomology of 4-dimensional toric orbifolds
演讲者
Larry So
时间
2025年02月27日 14:30 至 15:30
地点
A3-4-301
线上
Zoom 204 323 0165
(BIMSA)
摘要
A toric orbifold is characterized by a simple polytope and a characteristic function . A fundamental problem is to understand the relationship between the topology of , the combinatorial data of the pair , and the algebraic structure of its cohomology .
In this talk, I will present a formula that expresses cup products in the cohomology of a 4-dimensional toric orbifold in terms of the pair . Notably, when is a toric surface, this formula recovers the "dual" of the intersection form from Intersection Theory. In addition, this leads to a criterion for the triviality of Steenrod operations on the cohomology of , which allows us to extract topological information about .
This talk is based on joint work with Xin Fu and Songbaek Song.
In this talk, I will present a formula that expresses cup products in the cohomology of a 4-dimensional toric orbifold
This talk is based on joint work with Xin Fu and Songbaek Song.