Time: 9h00, Wednesday, March 6, 2019
Location: Rom 612, Building A6, Institute of Mathematics
Abstract: In this talk, I will mention some practical aspects of Hrushovski-Kazhdan’s motivic integration used by Hrushovski and Loeser to describe motivic Milnor fibers. There are also some integrals on value groups and a so-called non-Archimedean Milnor fiber that appear in this approach, which play an crucial role in recent studies on motivic Milnor fibers. I will give an overview of the works by Hrushovski-Loeser, Nicaise-Payne, Fichou-Yin and myself on the integral identity conjecture and extensions of the motivic Thom-Sebastiani theorem.