| ANALYSIS/MATHEMATICAL PHYSICS SEMINAR | |
| Topic: | Generic Local $L^\infty$-Bounds for Conformal Families of Laplace Operators |
| Speaker: | John Toth |
| Affiliation: | McGill University |
| 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.