Time：15:00-16:30, Tuesday, June 23 2026
Venue：E14-212
Speaker：Lei Qin, Hunan University
Title：Geometric properties of solutions to Elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities
Abstract：Concavity properties of solutions to elliptic and parabolic equations, as well as related inequalities, have been extensively studied. In particular, in the parabolic case, the log-concavity of the heat kernel on convex domains plays a fundamental role. In this talk, I will present my recent work on the log-concavity of solutions to parabolic equations associated with the Ornstein-Uhlenbeck operator, carried out in Florence. This is joint work with Professors Andrea Colesanti and Paolo Salani.
