100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Marc Stephan

Elementary abelian p-group actions and p-homological algebra
Lundi, 3 Septembre, 2018 - 14:00
Résumé : 

The motivation for this talk comes from a basic open problem in
equivariant topology: determining lower bounds for the sum of mod-p Betti
numbers of finite CW-complexes with a free (Z/p)^n-action. For p=2,
Carlsson connected chain complexes with a free (Z/p)^n-action to DG modules
over a polynomial ring in order to establish lower bounds using commutative
algebra and algebraic geometry.

In this talk, I will explain this connection and the problem in algebraic
geometry arising from it. Thereafter, I will describe an extension to all
primes using p-DG modules as developed in the Hopfological algebra
framework of Khovanov and Qi. This is joint work with Jeremiah Heller.

Institution de l'orateur : 
University of Chicago
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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