This seminar will be presented in hybrid mode.  The speaker will deliver his talk in person.

Title: Extreme values of the sine-Gordon field

Abstract: In recent years there has been significant progress in the study of extreme values of log-correlated Gaussian fields, in particular in that of the Gaussian free field, thanks to the work of Bramson, Ding, Roy, Zeitouni and Biskup, Louidor.
It has been shown that for the discrete Gaussian free field (DGFF) in d=2 the limiting law of the collection of all local maxima of the field (called the extremal process) is a Poisson process with a random intensity measure.

In this talk I will explain how an analogous result is obtained for the non-Gaussian sine-Gordon field. I will present a strong coupling at all scales of the sine-Gordon field with the Gaussian free field and demonstrate how this can be used to extend existing methods for the maximum and the extremal process of the DGFF. If time permits, I will also explain how these methods can be used for the Phi4 field. The talk is based on a joint work with R. Bauerschmidt.

The talk will be followed by refreshments in the Huxley Common Room at 5pm.