Semiclassical Eigenfunction Estimates
| ANALYSIS/MATHEMATICAL PHYSICS SEMINAR | |
| Topic: | Semiclassical Eigenfunction Estimates |
| Speaker: | Melissa Tacy |
| Affiliation: | Member, School of Mathematics |
| Date: | Friday, October 29 |
| Time/Room: | 2:00pm - 3:00pm/S-101 |
Concentration phenomena for Laplacian eigenfunctions can be studied by obtaining estimates for their $L^{p}$ growth. By considering eigenfunctions as quasimodes (approximate eigenfunctions) within the semiclassical framework we can extend such estimates to a more general class of semiclassical operators. This talk will focus on $L^{p}$ estimates for quasimodes restricted to hypersurfaces and the links between such estimates and properties of classical flow.