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Equivariant homological stability for unordered configuration spaces

Ponente: Eva Belmont
Institución: Universidad de California en San Diego
 Tipo de Evento: Investigación
Cuándo 24/05/2023
de 12:30 a 13:30
Dónde En linea (zoom)
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In foundational work, McDuff and Segal proved "homological stability" in the setting of unordered configuration spaces Cₙ(M) of n points in an open manifold M; that is, Hₖ(Cₙ(M)) ≅ Hₖ(Cₙ₊₁(M))  for  n≫k. This recovers an earlier theorem of Nakaoka which says that Hₖ(BΣₙ) ≅ Hₖ(BΣₙ₊₁) for n≫k. In joint work with J.D. Quigley and Chase Vogeli, we prove equivariant generalizations of McDuff and Segal's result.