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APRG Seminar

Title: Billiard flow and eigenfunction concentration on polyhedra
Speaker: Mayukh Mukherjee (IIT, Bombay)
Date: 28 April 2021
Time: 4 pm
Venue: Microsoft Teams (online)

In this talk, we discuss a basic (and somewhat classical) problem of Laplace eigenfunction mass concentration on convex polyhedra. We show quantitative mass concentration in a neighbourhood of the non-smooth part of the boundary, or the “pockets” of the billiard. On the way, we discuss several new dynamical properties of the billiard flow which are required for the proof.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 04 Oct 2022