CalcVar seminar announcement

[Emanuele Tuillier Illingworth]

CALCVAR SEMINAR ANNOUNCEMENT

Prof. Lorenzo Mazzieri
(Università di Trento)

Title: "Splitting principles, monotonicity formulas and geometric 
inequalities"

Abstract: The aim of this seminar is to describe, through a couple of 
examples coming form classical potential theory and general relativity,
the interplay between some basic Riemannian splitting principles and the 
rigidity case of relevant geometric inequalities,
such as the Willmore-Chern inequality for compact hypersurfaces in 
Euclidean space or the Riemannian Penrose inequality
for static black holes. As a counterpart of this fact, we will see that, 
beside the characterization of the rigidity case, our methods can be
used to produce new monotonicity formulas, which imply in turn the 
inequality under consideration in its full generality.
The results presented are obtained in collaboration with V. Agostiniani

Venue: SISSA, Thursday 17 March at 2 pm in lecture room 004