The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on October 30, 2018 at 14:00 in Room 478 of IMI.
A talk on:

Nash problem in arc spaces

will be delivered by Peter Petrov, IMI-BAS.

Everybody is invited.

Abstract. After introducing briefly the arc and jet spaces of an algebraic variety with examples I will state the Nash theorem and I will formulate the Nash problem. The main results obtained will be mentioned, together with the counterexamples in dimension 4 (Kollar and Ishii) and 3 (de Fernex). Then will be stated the Nash problem for pairs and will be shown its solution in the case of pairs of toric varieties, obtaining from it  positive answer of Nash problem for stable toric varieties.