- Vivi Padova
- Il Bo
Martedi 10 giugno alle 11:00 in aula 1BC/45 Anne Moreau (ETH-Zurich) terra' un seminario dal titolo "Dimension of the nilpotent bicone of a reductive Lie algebra via Motivic integration".
The nilpotent bicone of a finite dimensional complex reductive Lie algebra g is the subset of elements in g x g whose subspace generated by the components is contained in the nilpotent cone of g. The properties of the nilpotent bicone are known to be very important for the study of the commuting variety. As defined, the nilpotent bicone is closely related to jet schemes of the nilpotent cone. In "Jet schemes of locally complete intersection canonical singularities" (Invent. Math., 2001) M. Mustata uses arguments from motivic integration to prove a result concerning jet schemes of locally complete intersection with rational singularities. His result applies in particular to the nilpotent cone of g. In this talk, I will explain how we used, in a joint work with J.-Y. Charbonnel, arguments from motivic integration to study the dimension of the nilpotent bicone, following some ideas of Mustata.
Rif. int. P. Polesello