Time: 10:00-12:00, Tuesday, April 25, 2023

ZOOM ID: 963 2405 4801

PASSCODE: 041935

Host: Dr. Lifan Guan, Institute for Theoretical Sciences, Westlake University

Speaker: Chair Professor Guozhen Wang, Fudan University

Biography: 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).

Title: Topological cyclic homology

Abstract:

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.