General (Main) Seminar MSRI program on DDC-Asymptotics of complex integrals via Robinson’s non-archimedean field
Thu, 12 November, 2020
5:00pm
Organizer: V. Harizanov and A. Shlapentokh
For link contact [email protected]
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.