General (Main) Seminar MSRI program on DDC-Asymptotics of complex integrals via Robinson’s non-archimedean field

Organizer: V. Harizanov and A. Shlapentokh

For link contact harizanvgwu [dot] edu

Thursday, November 12, 12:00-1:00 ET on Zoom

François Loeser, Sorbonne University, France

Title: Asymptotics of complex integrals via Robinson’s non-archimedean field

Abstract: In recent years, various connections between the asymptotic behaviour of families of complex objects and non-archimedean geometry have been observed.

We will report on joint work with Antoine Ducros and Ehud Hrushovski, showing that asymptotics of some complex integrals may be expressed in terms of the non-archimedean integrals recently introduced by Chambert-Loir and Ducros. To perform this, we work on a non-archimedean field of non-standard reals considered long ago by A. Robinson.