# Mathematics Topology Seminar - Professor Guchuan Li

This event is in the past.

**Date:**November 16, 2021

**Time:**1:30 p.m. - 2:30 p.m.

**Category:**Seminar

**Speaker:** Professor Guchuan Li, University of Michigan

**Title:** RO(G) periodicity and Picard groups in K(n)-local categories.

**Abstract:** Hill-Hopkins-Ravenel proved a periodicity theorem for localizations of norms of the Real cobordism theory in their solution to the Kervaire invariant one problem. This gives all RO(G) periodicity in the case G=C_2 but not in general. In this talk, I will discuss some known cases, including a new case of the RO(C_4) periodicity at Chromatic height 4. As an application, these RO(G) periodicity have led to new computation of Picard groups of K(n)-local modules of the form E_n^{hG}. This talk is based on joint work with Drew Heard, XiaoLin Danny Shi and joint work in progress with Agnès Beaudry, Zhipeng Duan and XiaoLin Danny Shi.

## Contact

Math Department

313-577-2479

math@wayne.edu