Bonn Topology Group - Abstracts

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Talk

December 3, 2024
Liz Tatum (Bonn Universität): Applications of Equivariant Brown-Gitler Spectra

Abstract

In the 1980s, Mahowald and Kane used integral Brown-Gitler spectra to construct splittings of the cooperations algebras for ko, connective real k-theory, and ku, connective complex k-theory. These splittings helped make it feasible to do computations using the ko- and ku-based Adams spectral sequences. In recent work, Guchuan Li, Sarah Petersen, and I have constructed models for C_2-equivariant analogues of the integral Brown-Gitler spectra. In this talk, I will report on our progress towards using these spectra to construct C_2-equivariant analogues of these splittings, and related results.