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Junior Topology
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Florian Stecker, Zoom: Geometric structures and their deformation space
Wednesday, September 23, 2020, 02:00pm - 03:00pm
A geometric structure (or (G,X)-structure) on a manifold is something which makes it locally look like a homogeneous space. The classical example are constant curvature metrics, which make a manifold locally look like the sphere, Euclidean or hyperbolic space. I'll try to give a gentle introduction into geometric structures and explain how we can describe the space of geometric structures locally using representations of the fundamental group. Then I want to go into some results from Baues's classification of (incomplete) flat affine structures on the torus, which show many of the pathologies we can encounter once we leave the realm of Riemannian geometries.
Location: Zoom

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