Carolin Gietz

Aaron Naber (Northwestern University): Fundamental groups and the Milnor conjecture

Thursday, 03.08.2023 14:45 im Raum M2

Mathematik und Informatik

Abstract: Milnor conjectured that if (M,g) is a Riemannian manifold with Rc>=0, then its fundamental group is finitely generated. Together with Brue and Semola we provide a counterexample. Specifically, we construct a manifold M^7 with Rc>=0 whose fundamental group is Q/Z . This involves a new topological construction of spaces with infinitely generated fundamental groups, and a careful analysis of the relationship between Ricci curvature and mapping class groups.

Angelegt am Monday, 31.07.2023 07:52 von Carolin Gietz
Geändert am Monday, 31.07.2023 07:52 von Carolin Gietz
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