Equations over groups

Andreas Thom (Leipzig University)

Wednesday 15th January, 2014 16:00-17:00 Maths 204

Abstract

We show that certain singular equations with coefficients over hyperlinear groups are solvable. Our method is inspired by seminal work of Gerstenhaber-Rothaus. Using a detailed analysis of the p-local homotopy type of the projective unitary group, we manage to show that a lot of singular equations with coefficients in unitary groups can be solved in the unitary group. This is joint work with Anton Klyachko.

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