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Thursday, February 13, 2014

Polyhedral complexes and the topology of projective varieties

Michael Kapovich (UC Davis)

Abstract: Polyhedral complexes are obtained by gluing convex polytopes (say, Euclidean or hyperbolic) via isometric maps. In the talk I will explain how to use such complexes to construct complex-projective varieties with controlled singularities (normal crossings and Whitney umbrellas) and with prescribed fundamental groups. Polyhedral complexes that appear in the construction come from geometric topology of 1960s and from some recent developments in 3-dimensional hyperbolic geometry. This is partly a joint work with Janos Kollar.

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Location :  Room 611 of the Hans Freudenthal building, formerly known as the Wiskunde/Maths building, (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time : Thursday, February 13, 2014 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.