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

Tikal Venkataramana

Representations of the braid group and arithmetic groups
Jeudi, 22 Juin, 2017 - 14:00
Résumé : 

The Artin braid group on n strands occurs naturally in many different parts of mathematics, as a mapping class group, as the fundamental group of the space of degree n monic polynomials with distinct roots, hypergeometric functions etc. The "Burau representation"  is a  natural representation of this group and in this talk, a sketch of the proof of the arithmeticity of its image will be presented.

 We also discuss background material on algebraic groups and arithmetic groups.

Institution de l'orateur : 
TIFR
Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
Salle 4
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