An Isaac Newton Institute Programme

Model Theory and Applications to Algebra and Analysis

Real and motivic integration of oscillating functions

Author: Cluckers, R (Paris ENS)

Abstract

At a basic introductory level, some new results on real and motivic integrals are presented and put in context. It concerns results on Fouriers transforms of analytic functions and on oscillating integrals in general. Instead of giving a rigorous introduction to motivic integrals, we illustrate them by explaining the general philosophy of motivic oscillating integrals. No preliminary knowledge is required.