Analysis and PDE Seminar Homepage, Autumn-Winter-Spring 2018/2019
Time: Monday, 4pm.
Wednesday, October 10, BAMAS at Stanford, Room
Peter Hintz (MIT)
``Trapping in perturbations of Kerr spacetimes''
Abstract: We study the trapped set of spacetimes whose metric decays to a stationary Kerr metric at an inverse polynomial rate. In the first part of the talk, I will focus on the dynamical aspects of this problem and show that the trapped set is a smooth submanifold which converges to that of the stationary metric at the same rate. In the second part, I will explain how to use this to prove microlocal estimates at the trapped set for solutions of wave equations on such spacetimes.
Semyon Dyatlov (Berkeley/MIT)
``Long time propagation and fractal uncertainty principle''
Abstract: I will show a frequency-independent lower bound on mass of eigenfunctions on surfaces of variable negative curvature. This was previously done in the case of constant curvature in joint work with Jin, relying on the fractal uncertainty principle proved in joint work with Bourgain. I will focus on the new components needed to handle the case of variable curvature, in particular propagation of quantum observables up to local Ehrenfest time. Joint work in progress with Long Jin and Stéphane Nonnenmacher.
Wednesday, November 14, BAMAS at Berkeley,
2:40-3:30pm, 740 Evans
Maciej Zworski (Berkeley)
4:10-5pm, 736 Evans
Yiran Wang (Stanford)