Past Seminar

27 October 2022 (Thursday)

9:00 ～ 10:00 (in Vietnam time)

11:00 ～ 12:00 (in Japan time)

Speaker: Nguyen Hong Duc (Thang Long University)

Title: Motivic integration on special rigid varieties and the motivic integral identity conjecture

Abstract: We construct an equivariant motivic integration on rigid varieties, which is a continuation of our recent work on the theory of equivariant motivic integration on special formal schemes. By showing that two formal models of a special smooth rigid variety can be dominated by a third formal model we are able to define a notion of motivic volume on special smooth rigid varieties. We then prove that this motivic volume can be extended to a homomorphism from a certain Grothendieck ring of special smooth rigid varieties to the classical Grothendieck ring of varieties. Applying this theory we prove the motivic integral identity conjecture by Kontsevich and Soibelman.

※ This is a joint seminar with "Seminar of the Department of Geometry and Topology, Hanoi Institute of Mathematics"