几何与拓扑讨论班——Real Bott periodicity at higher chromatic heights

报告人：Guchuan Li，Peking University

Pretalk

主题：Bott Periodicity and topological K-theory

时间：2025年4月21日，16:15-16:45

摘要：We will assume Bott Periodicity and use it to define a generalized cohomology theory: topological K-theory.

Research Talk

主题：Real Bott periodicity at higher chromatic heights

时间：2025年4月21日，16:45-17:35

摘要：Real Bott periodicity shows that the homotopy groups of Real topological K-theory is 8-periodic. From chromatic homotopy theory perspective, Real topological K-theory is a height 1 theory, and for each natural number n, there are height n periodic cohomology theories. Important examples include 192 periodic topological modular forms at height 2 and Hill-Hopkins-Ravenel’s 256 periodic Kervarie detection spectrum at height 4. In this talk, we give a general formula of the periodicity for all heights. This is joint work with Zhipeng Duan, Mike Hill, Yutao Liu, Danny XiaoLin Shi, Guozhen Wang, and Zhouli Xu.

地点：紫金港校区海纳苑2幢204室

组织者：Hana Jia Kong, Song Sun,

              Lei Wu, Weiwei Wu