Tel Aviv University
 
Hello everyone,
 
The next colloquium talk will be held on:
 
Monday, 10/6/2013, 12:15, Schreiber 006, Tel Aviv University.
 
Speaker: Andre Reznikov (Bar-Ilan University)
 
Title: Restriction of eigenfunctions and representation theory
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloquia, see
 <http://www.math.tau.ac.il/~ostrover/colloquium/colloq2012.html>
 
Yours,
Yaron
 
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Abstract:I will consider analytic properties of eigenfunctions of the
Laplace-Beltrami equation on a compact hyperbolic surface. I will show how
to deduce a uniform lower bound for the norm of the restriction to a fixed
closed geodesic. The proof I present is based on methods in representation
theory, and, in particular, on the use of the unique trilinear invariant
functional on representations of GL(2,R). Such a functional will play a role
of a (quantification of) pseudo-differential calculus.
(Joint with J. Bernstein, A. Gosh, P. Sarnak)
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <ostrover@post.tau.ac.il>