Wednesday, February 20, 2019 — 12pm, Aula M1.6, edificio Matematica

Nonlocal operators of Kolmogorov type and their extensions

Abstract: In this talk I present a new general procedure for defining the fractional powers of a fairly large class of second order partial differential operators first introduced by Hormander in his seminal 1967 work on the hypoellipticity. In the process I present a new version of the so-called extension problem for such operators, and provide an explicit construction for its solution. If time allows I will discuss some interesting applications of the relevant results. This is joint work with Giulio Tralli.