Analysis Seminar
2023-2024
| Time | Location | Organizers |
|---|---|---|
| Tuesdays at 11am | APM 7321 or Zoom (contact organizers for meeting ID) | Ioan Bejenaru and Andrej Zlatoš |
Fall 2023
| Date | Speaker | Title + Abstract |
|---|---|---|
| October 17 on Zoom |
Yannick Sire
Johns Hopkins University |
Spectral estimates for Schrödinger operators on manifolds
I will report on recent results stemming from the analysis of Schrödinger operators on manifolds. I will first describe results dealing with isoperimetric inequalities and optimal (aka extremal) metrics on closed manifolds. These issues have been instrumental in the study of the spectrum of several classical operators, and are motivated by the understanding of the behaviour of the spectrum under changes of metrics. Then, motivated by conjectures of Yau on measures of nodal sets (but which are actually related to the first part of the talk), I will describe how eigenfunctions are concentrating in terms of Lp norms (with an explicit dependence on the eigenvalues). My goal is to emphasize on the case of Schrödinger operators with rough potentials. I will also state several open problems. |
| November 7 |
Jack Xin
UC Irvine |
Postponed to May 14 |
| November 14 |
Vladimir Sverak
University of Minnesota |
Postponed |
Winter 2024
| Date | Speaker | Title + Abstract |
|---|
Spring 2024
| Date | Speaker | Title + Abstract |
|---|---|---|
| May 7 |
Inwon Kim
UCLA |
TBA
|
| May 14 |
Jack Xin
UC Irvine |
TBA
|
Previous years
2022-20232021-2022
2019-2020
2018-2019
2017-2018