Seminario del 2020

Giugno
23
2020
Cihan Bahran
Algebraic structures and representation stability in configuration spaces
algebra e geometria
Let FI be the category of finite sets and injections. For a fixed space X, Church-Ellenberg-Farb demonstrated that packaging the sequence of ordered configuration spaces {PConf_n(X)} as a single object, namely a contravariant functor FI -> Top is very convenient in analyzing the "stable behavior" of the sequence. After reviewing the general framework, I will present general elementary conditions on X (which need not be a manifold) which allows the action of FI to be extended to a larger category. The extra structure yields several improvements in the onset of stabilization.
organizzato da: Roberto Pagaria

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