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.

Contact

Math Department
313-577-2479
math@wayne.edu

Cost

Free
November 2021
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