“Isoperimetric Inequalities Between Two Fractional Perimeters”
Thursday 9 April 2026 h. 15:30 - Room 2BC30 - Giacomo Cozzi (Padova, Dip. Mat.)
Abstract
In this talk I will introduce the notion of fractional perimeter of a set, show its main properties and motivate the interest in this object. Then, I will discuss an ongoing project in which we prove that the ball is a local minimizer of the scale invariant isoperimetric ratio between two fractional perimeters under small graph perturbations: this parallels the results known in the literature where one of the two fractional perimeters is replaced by the volume.
This is a joint work with Annalisa Massaccesi (University of Padova), Giovanni Alberti and Jeremy Mirmina (University of Pisa).
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
