Dear colleagues,

We are happy to announce the following hybrid - that is, in person with online streaming - talk:

Speaker: Francesco Carlo De Vecchi (Università di Pavia)

Title: A differential characterization of exponential quantum field theory on the plane

Abstract: Characterizing a probability measure through an integration by parts formula is a classical problem in stochastic analysis. It finds applications in (Euclidean) quantum field theory, being related to the solutions of the equations of motion for the correlation functions of the quantum field. We approach this problem in the particular case of quantum field theory with exponential interaction on $\mathbb{R}^2$, studying a Fokker-Planck-Kolmogorov equation associated to the stochastic quantization equation for such a model. We prove that, under some conditions on the support of the measure, the solution to this Fokker-Planck-Kolmogorov equation exists and is unique, providing a complete characterization of the exponential measure by an integration by parts formula. The talk is based on a joint work with Massimiliano Gubinelli and Mattia Turra.

Date and time: Monday October 17, 14:00-15:00 (Rome time zone)

Place: Aula Beltrami, dipartimento di matematica dell’università di Pavia, via Ferrata 5, Pavia.

Entra nella riunione in Zoom https://us02web.zoom.us/j/89875903841?pwd=NnJUclZidHl6RTg0a0ljcEVNVXp5UT09 https://us02web.zoom.us/j/89875903841?pwd=NnJUclZidHl6RTg0a0ljcEVNVXp5UT09

ID riunione: 898 7590 3841 Passcode: 262094

This talk is part of the (PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico.

Participation is free and welcome!

Best regards The organizers (Carlo Orrieri, Maurizia Rossi, Margherita Zanella)