Date & Time: Monday, 4th March at 2.30 pm

Venue: Ramanujan Hall

Title: Discrete Riemann Surfaces

Speaker: Prof.Ulrich Pinkall

Abstract: A Riemannian metric on a triangulated surface assigns to each edge a length in a way that is compatible with the triangle inequality. Here we give a notion for a discrete Riemann surface by defining when two such metrics are conformally equivalent. This notion has many desirable properties and in particular the dimension of the corresponding Teichmueller spaces comes out as expected. Also the usual uniformization theorems hold. Their poof depends on a certain convex variational problem which involves the Milnor-Lobachevsky function.