|ANALYSIS/MATHEMATICAL PHYSICS SEMINAR|
|Topic:||Generic Local $L^\infty$-Bounds for Conformal Families of Laplace Operators|
|Date:||Friday, January 28|
|Time/Room:||2:00pm - 3:00pm/S-101|
Let (M,g) be a compact, closed manifold and g_u be a family of conformal metric deformations of g supported in a small ball B(\delta) of radius \delta>0. We show that for a class of such deformations, the corresponding Laplace eigenfunctions almost surely have L^\infty-bounds in B(\delta) that are consistent with random wave predictions.