Logo

Mathematical Sciences Research Institute

Home » Analytic Number Theory Seminar: Large values of Laplace eigenfunctions via number theory

Seminar

Analytic Number Theory Seminar: Large values of Laplace eigenfunctions via number theory March 09, 2017 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Simon Marshall (University of Wisconsin-Madison)
Description No Description
Video
No Video Uploaded
Abstract/Media

Let M be a compact negatively curved manifold.  Based on the correspondence between classical and quantum mechanics, one might expect Laplace eigenfunctions of high energy on M to behave chaotically, spreading out evenly and not having large peaks anywhere.  I will describe how one can use number theory to find counterexamples to this expectation, by constructing eigenfunctions with large peaks.  My talk will be based on joint work with Farrell Brumley.

No Notes/Supplements Uploaded No Video Files Uploaded