7 jul 2026   [open in google calendar]

Centro de Giorgi, Sala Conferenze

Abstract.

We present a simple new method to derive exact pointwise identities for fractional commutators and compositions associated with the fractional Laplacian on general Riemannian manifolds. As applications, we obtain a pointwise fractional Leibniz rule, a fractional Bochner's formula with an explicit Ricci curvature term, and exact remainders in the Córdoba-Córdoba and Kato inequalities for the fractional Laplacian. Time permitting, we discuss possible applications for these new identities.

The seminar is based on a joint work with Luca Gennaioli.