Speaker: 李谷川，北京大学

Inviter: 邹佛灵副研究员

Title: Real Bott periodicity at higher chromatic heights

Language: Chinese

Time & Venue: 2025.03.19 14:30-15:30 南楼N818

Abstract: 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 includes 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 in progress with Zhipeng Duan, Mike Hill, Yutao Liu, Danny XiaoLin Shi, Guozhen Wang, and Zhouli Xu.