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

Anand Sawant

Central extensions and A^1-fundamental groups
Lundi, 9 Avril, 2018 - 14:00
Résumé : 

We will describe the $\mathbb{A}^1$-fundamental sheaf of groups of a split reductive group and discuss some consequences.  The key tool in the computation is the use of the notion of cellular $\mathbb{A}^1$-homology, which will be introduced in the talk.  We will also discuss how our results uniformly explain the classical results of Matsumoto, Suslin and Brylinski-Deligne about universal central extensions of algebraic groups.  The talk is based on joint work with Fabien Morel.

Institution de l'orateur : 
LMU Munich
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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