Mathematics Topology Seminar - Professor Guchuan Li

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Date: November 16, 2021
Time: 1:30 p.m. - 2:30 p.m.
Location: Faculty/Administration # 1140 | Map
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.

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