Seminario: The arc space of spherical varieties and motivic integration

Mercoledì 27 Novembre 2013, ore 14:30 - Aula 2BC30 - Anne Moreau


Mercoledì 27 Novembre alle ore 14:30 in Aula 2BC30, Anne Moreau (Poitiers) terrà un seminario dal titolo "The arc space of spherical varieties and motivic integration".

In this talk, we will be interested in the motivic integral over the arc space of a complex Q-Gorensein spherical G-variety X where G is a reductive connected group. We will give a formula for the stringy E-function of X in term of its colored fan, which generalizes that of Batyrev for the toric case. As an application, we will deduce a smoothness criterion for locally factorial horospherical varieties and we conjecture that this criterion still holds for any locally factorial spherical variety.
All this is based on (past and current) joint works with Victor Batyrev.

Rif. Int. G. Carnovale