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 )
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. |