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Colloquium: Andreas Thom (Dresden) - "Topological methods to solve equations over groups" | Einstein Institute of Mathematics

Colloquium: Andreas Thom (Dresden) - "Topological methods to solve equations over groups"

Date: 
Thu, 23/11/201714:30-15:30
Location: 
Manchester Building (Hall 2), Hebrew University Jerusalem
I will survey various approximation properties of finitely generated groups and explain how they can be used to prove various longstanding conjectures in the theory of groups and group rings. A large class of groups (no group known to be not in the class) is presented that satisfy the Kervaire-Laudenbach Conjecture about solvability of non-singular equations over groups. Our method is inspired by seminal work of Gerstenhaber-Rothaus, which was the key to prove the Kervaire-Laudenbach Conjecture for residually finite groups. Exploring the structure of the p-local homotopy type of the projective unitary group, we also manage to show that many singular equations with coefficients in unitary groups can be solved.