ICTP/SISSA Joint Colloquium - Linear groups and Einstein manifolds
Professor Jorge Lauret
(Universidad Nacional de Cordoba, Argentina)
Professor Lauret is the recipient of the 2007 Ramanujan Prize for Young Mathematicians from Developing Countries.
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.
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