ICTP/SISSA Joint Colloquium in Mathematics

[Math]

ICTP/SISSA Joint Colloquium in Mathematics


Monday, 3 December 2007, at 15.00 hrs.


Professor Jorge Lauret
Universidad Nacional de Cordoba
Argentina


"Linear groups and Einstein manifolds"


Professor Lauret is the recipient of the 2007 Ramanujan Prize for Young
Mathematicians from Developing Countries.

Abstract:  The construction of Einstein Riemannian metrics on
manifolds is a classical problem in differential geometry and general
relativity.  General existence and non-existence results are hard to
obtain, and it is a natural simplification to impose additional symmetry
assumptions.

In this talk, we will first give an elementary introduction to the
study of G-orbits and the orbit space V/G, for a subgroup G of the
group of invertible linear maps GL(V), where V is a real finite
dimensional vector space.  Strong results from this theory will then
be applied to the study of Einstein manifolds admitting certain
transitive groups of symmetries.


Venue:  ICTP Seminar Room, Main Building, first floor