GTA Seminar: Marshall -- L^p Bounds for Eigenfunctions on Locally Symmetric Spaces

Speaker: Dr. Simon Marshall (Northwestern)

http://www.math.northwestern.edu/~slm/

Time: Thursday, August 29, 12NOON--1PM

Room: Carslaw 707A

Lunch: after the talk, at Law Annex Cafe. 

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Title: L^p Bounds for Eigenfunctions on Locally Symmetric Spaces

Abstract: there is a classical theorem of Sogge which provides 
bounds for the L^p norms of a Laplace eigenfunction on a compact 
Riemannian manifold, which are sharp on the sphere and for spectral 
clusters. I will present a generalization of this theorem to 
eigenfunctions of the full ring of invariant differential 
operators on a locally symmetric space, as well as a theorem on 
the restriction of eigenfunctions to maximal flat subspaces. 
Time permitting, I will discuss ways in which these bounds can 
be improved using inputs from number theory.
 
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Seminar website:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/