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Ricci Curvature, Fundamental Groups, and the Milnor Conjecture

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Speaker: 
Daniele Semola
Zugehörigkeit: 
ETHZ
Datum: 
Don, 30/11/2023 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

It was conjectured by John Milnor in 1968 that the fundamental group of a complete Riemannian manifold with nonnegative Ricci Curvature is finitely generated. I will present joint work with Elia Bruè and Aaron Naber where we construct a family of complete Riemannian manifolds with nonnegative Ricci Curvature and infinitely generated fundamental group, thus providing a counterexample to the Milnor conjecture.

 

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