Description
Speaker: Maria Esteban
Affiliation: Universite Paris-Dauphine.
Time: 4pm, Wednesday, January 23.
Venue: Ramanujan Hall.
TITLE: Symmetry and symmetry breaking: rigidity and flows for PDEs and for
inequalities
ABSTRACT: In this talk, I will review recent results about how the use of
linear and nonlinear flows has been key to prove functional inequalities
and qualitative properties for their extremal functions. I will also
explain how from these inequalities and their best constants, optimal
spectral estimates can be obtained for Schrodinger operators. This is a
topic which is at the crossroads of nonlinear analysis and probability,
with implications in differential geometry and potential applications in
modelling in physics and biology.