FI-calculus and representation stability

Abstract: FI is the category of finite sets and injections. Representation stability is an appealing phenomenon enjoyed by certain functors from FI to, for example, rational vector spaces. The rational cohomology of certain families of moduli spaces is a key example. Functor calculus is a family of techniques and structures that are useful in the study of functors between certain infinity-categories. In this talk, we'll see that representation stability emerges as a facet of a new kind of functor calculus and discuss some of the features of this functor calculus.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA