数学研究所
学术报告
拓扑研讨班
Speaker: 李谷川（北京大学）
Title:Real Bott periodicity at higher chromatic heights
Time&Venue: 2025.3.19（周三）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.