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Homotopy Theory Seminar

Thursday, September 22, 2022 - 3:30pm

J.D. Quigley

University of Oregon


University of Pennsylvania

The homology of various sequences of topological spaces often stabilizes. For instance, classical results of McDuff and Segal imply that the homology of unordered configuration spaces of open manifolds stabilizes as the number of points in the configuration increases. In this talk, I will discuss an equivariant analogue of this phenomenon, Bredon homological stability, where homology is replaced by Bredon homology, and spaces are replaced by G-spaces for some finite group G. Connections with equivariant loop space theory and (possibly) equivariant algebraic K-theory will also be discussed. This is joint work with Eva Belmont and Chase Vogeli.