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# Geometric Structures on Manifolds

Thursday, 15 March, 2012 - 17:30
Prénom de l'orateur:
William
Nom de l'orateur:
Goldman
Résumé:
This talk will survey the theory
of locally homogeneous geometric
structures on manifolds. Such a structure
is given by a system of local coordinates
modeled on a geometry'' (a homogeneous space of a Lie
group). A familiar example is that the sphere admits
no Euclidean-geometry structure: no metrically
accurate world atlas of the earth exists.
When a geometric structure does exist, they
form a space which itself carries interesting
geometry. This talk will discuss several
types of geometric structures, and will end
with the classification of complete affine
structures on 3-manifolds (joint work with
Charette, Drumm, Fried, Labourie and Margulis).

Institution:
Université du Maryland
Salle:
04