REMINDER - two mathematics seminars this week - STASI Seminar Room

[ICTP Math Section]

*1) **Tuesday 13 February, at 16.00 hrs.*


Tiarlos Nogueira 
(Universidade Federal de Alagoas)


Title:
Capacity estimates and rigidity of domains with corners


Abstract:
Estimates in geometric terms of the capacity  of compact sets are of 
great interesting and appears naturally both in Geometry and Physics 
(e.g., in electrostatic and physical descriptions of flows where Laplace 
equations is used).
I will discuss about capacity inequalities involving the total mean 
curvature of hypersurfaces with boundary in convex cones and the mass of 
asymptotically flat manifolds with non-compact boundary.
In fact, I will present analogous of Pölia-Szegö, Alexandrov-Fenchel and 
Penrose type inequalities in this setting.
_


__VENUE:  Stasi Seminar Room  (ICTP Leonardo da Vinci Building, first 
floor)_






*2) **Thursday 15 February, at 14.00 hrs.*


Leandro Pessoa  (Universidade Federal do Piauí)


Title:
On the Dirichlet Parabolicity and the L¹-Liouville Property


Abstract:
In this talk we will discuss on the L¹-Liouville property for positive, 
superharmonic functions by providing many evidences that its validity 
relies on geometric conditions localized on large enough portions of the 
space. By the way, we present some examples in any dimension showing 
that the L¹-Liouville property is strictly weaker than the stochastic 
completeness of the manifold. The main tool in our investigations is 
represented by the potential theory of a manifold with boundary subject 
to Dirichlet boundary conditions.

This is a joint work with Professors Stefano Pigola and Alberto G. Setti 
(Università degli Studi dell'Insubria – Italia)


_
__VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)_