Westlake Online Math Forum第八期 | Guozhen Wang: Topological cyclic homology

2023-04-20 13:24:45


ZOOM ID:963 2405 4801

PASSCODE: 041935

主持人: 理论科学研究院 关力凡 博士

主讲人: 复旦大学 王国祯 讲席教授

主讲人简介:Guozhen Wang is a chair professor at the Shanghai center for mathematical sciences, Fudan University. He has made groundbreaking progresses in the computation of stable homotopy groups, motivic homotopy theory and topological cyclic homology. In joint work with collaborators, he solved the uniqueness problem of smooth structures on the 61-dimensional sphere; calculated the first 90 stable homotopy groups of the sphere spectrum; established the Chow t-structure theory of the motivic homotopy theory; and introduced the descending spectral sequence methods in the computation of topological cyclic homology. He was an invited speaker at the International Congress of Mathematicians (2022).

讲座主题:Topological cyclic homology

讲座摘要: Topological cyclic homology and its variants give invariants of rings and schemes, which capture the local structure of algebraic K theory. In this talk, we will explain the motivation of topological cyclic homology and its relationship with algebraic K theory. We will also give an introduction to the techniques for understanding topological cyclic homology and making concrete calculations.