School of Mathematics Seminars and Lectures

Hyperbolic surfaces with small eigenvalues.

by Mr. Sugata Mondal (Institute Mathematique de Toulouse, France)

Friday, September 13, 2013 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
We shall talk about eigenvalues of the Laplace operator on
hyperbolic surfaces. The main focus of the talk would be on 'small
eigenvalues' i.e. eigenvalues in the interval (0, 1/4]. We shall recall a
method, due to P. Buser, to show that surfaces with small eigenvalues do
exist. If time permits, we shall discuss the result of Otal-Rosas on upper
bound on the number of such eigenvalues depending on the topology of the
surface.