COLLOQUIUM
3:00 p.m., Friday (February 6, 2009)
MATX 1100
Burt Totaro
Department of Pure Mathematics and Mathematical Statistics
Cambridge
Algebraic surfaces and hyperbolic geometry
Abstract:
The intersection form among curves on a complex algebraic surface always has signature (1,n) for some n. So the automorphism group of an algebraic surface always acts on hyperbolic (n1)space. For a class of surfaces including K3 surfaces and many rational surfaces, there is a close connection between the properties of the variety and the corresponding group acting on hyperbolic space.
Refreshments will be served at 2:45 p.m. (Math Lounge, MATX 1115).
