时间：2024年11月21日（星期四）15:00
地点：E4-201
主讲人：西湖大学理论科学研究院 童浥尘
报告题目：On homotopy commutativity
报告摘要: A fundamental problem in homotopy theory is determining whether a given H-space is homotopy commutative. In particular, there are few results regarding the loop spaces of finite complexes, including those of closed manifolds. The cases for spheres were successfully solved as the famous Hopf invariant one problem, and the complex and quaternion projective spaces were studied by Ganea in 1967. A quasitoric manifold is a topological counterpart of a smooth projective toric variety, with complex projective spaces serving as classical examples. Similar to a toric variety, any quasitoric manifold can be constructed by certain combinatorial data. In this talk, I will present an equivalent condition for homotopy commutativity in quasitoric manifolds in terms of the corresponding combinatorial data, which partially generalizes Ganea's result.
This talk is based on joint work with Hasui, Kishimoto and Tsutaya.
