The quotient map on the equivariant Grothendieck ring of varieties
Annabelle Hartmann  SFBTransregio45Seminar zur Algebraischen Geometrie
What 


When 
Dec 15, 2015 from 02:00 pm to 04:00 pm 
Where  Bonn, Raum 0.011, MathematikZentrum, Endenicher Allee 60 
Contact Name  Sachinidis 
Add event to calendar 
vCal iCal 
The aim of the talk will be to explain the existence of a well defined quotient map on the Gequivariant Grothendieck ring of varieties for an abelian finite group G. The main problem here is to compute the class of a quotient of an affine bundle with affine Gactions in the Grothendieck ring. I will explain why such a class only depends on the rank and the base of the bundle. Moreover, I will consider the problems arising in the case of wild group actions. Here one has to work in a modified Grothendieck ring to be able to handle purely inseparable maps. As an application, I will use my result to compute the quotient of the nearby fiber using motivic integration with Galois actions. If time permits, I will also comment on the analogue construction for formal schemes, which is using equivariant motivic integration on formal schemes.