100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Irregular connections, Hitchin systems and Kac-Moody root systems

星期一, 15 六月, 2009 - 12:30
Prénom de l'orateur : 
Philip
Nom de l'orateur : 
BOALCH
Résumé : 

I will give a brief survey of `wild nonabelian Hodge theory on curves'
and describe some first steps towards classifying the class of
hyperkahler manifolds that arise in this way (i.e. as moduli spaces of
meromorphic connections or Higgs bundles).
In particular we will see there is a rich class of examples that may
be thought of as ``more transcendental versions'' of certain
(Nakajima) quiver varieties.
Said differently we may attach a graph to certain meromorphic Hitchin
moduli spaces, and these graphs play the role of Dynkin diagrams for
such spaces.

Institution de l'orateur : 
ENS - Dépt. de mathématiques et applications (DMA)
Thème de recherche : 
Algèbre et géométries
Salle : 
04
logo uga logo cnrs