Since the discovery of quantum theory we know that spectral theory of linear operators in Hilbert spaces is fundamental in our description of nature. Apart from its significance in the formulation of quantum mechanics, spectral theory has also been very influential in other areas of pure and applied mathematics. The proposed programme is broadly about novel applications of spectral methods in general relativity such as "Spectral Theory of Stationary Spacetimes", "Stability questions in General Relativity", and "The Mathematics of QFT and Hawking Radiation".
Introductory Workshop: June 19 - 23, 2023
Main Conference: July 10 -14, 2023
Singularity formation, stability and spectral analysis I
Microlocal methods for operators
with analytic coefficients I: FBI transforms, inversion formulas and analytic wave front sets
Singularity formation, stability and spectral analysis II
Singularity formation, stability and spectral analysis III
Spectral theory of stationary spacetimes I: Normally hyperbolic operators on spacetimes and solution theory
Singularity formation, stability and spectral analysis IV
Microlocal methods for operators
with analytic coefficients II: Microlocal elliptic regularity
Spectral theory of stationary spacetimes 2: Normal forms of stationary spacetimes and energy forms
Microlocal methods for operators
with analytic coefficients III: Kashiwara's watermelon theorem
Spectral theory of stationary spacetimes III: Trace formulas
Spectral theory of stationary spacetimes IV: Spectral asymptotics
Microlocal methods for operators
with analytic coefficients IV: Applications to unique continuation
Organizers
| Name | Affiliation |
|---|---|
| Piotr T. Chruściel | University of Vienna |
| Peter Hintz | ETH Zurich |
| Alexander Strohmaier | University of Leeds |
| Steven Morris Zelditch † | Northwestern University Evanston |
Attendees
| Name | Affiliation |
|---|---|
| Selim Amar | Stanford University |
| Håkan Andréasson | Chalmers University of Technology |
| Christian Bär | University of Potsdam |
| Dean Baskin | Texas A & M University |
| Robert Beig | University of Vienna |
| Tanya Christiansen | University of Missouri |
| Wan Cong | University of Vienna |
| Stefan Czimek | University of Leipzig |
| Claudio Dappiaggi | University of Pavia |
| Moritz Doll | University of Melbourne |
| Roland Donninger | University of Vienna |
| Semyon Dyatlov | Massachusetts Institute of Technology |
| Allen Juntao Fang | Princeton University |
| Clotilde Fermanian Kammerer | Université Paris Est - Créteil Val-de-Marne |
| Filip Ficek | University of Vienna |
| Stefano Galanda | Università di Genova |
| Penelope Gehring | University of Potsdam |
| Jonathan Glöckle | Universität Regensburg |
| Colin Guillarmou | Université Paris-Saclay |
| Dietrich Häfner | Université Grenoble Alpes |
| Stefan Hollands | University of Leipzig |
| Gemma Hood | Imperial College London |
| Albert Huber | University of Applied Sciences Vienna |
| Onirban Islam | University of Potsdam |
| Oana Ivanovici | Sorbonne University |
| Istvan Kadar | University of Cambridge |
| Christoph Kehle | ETH Zürich |
| Christiane Klein | University of Leipzig |
| Michael Kunzinger | University of Vienna |
| Rubens Longhi | University of Potsdam |
| Shi-Zhuo Looi | California Institute of Technology |
| Jeremy Louis Marzuola | University of North Carolina |
| Lionel Mason | University of Oxford |
| Anthony McCormick | Northwestern University Evanston |
| Peter Michor | University of Vienna |
| Pascal Millet | Université Grenoble Alpes |
| Vincent Moncrief | Yale University |
| Katrina Morgan | Northwestern University Evanston |
| Georgios Moschidis | EPFL, Lausanne |
| Simone Murro | University of Genova |
| Andrea Nützi | ETH Zürich |
| Marius A. Oancea | University of Vienna |
| Sung-Jin Oh | University of California, Berkeley |
| Leonid Parnovski | University College London |
| Oliver Petersen | KTH Stockholm |
| Ronald Quirchmayr | University of Groningen |
| Kasia Rejzner | University of York |
| Natascha Riahi | University of Vienna |
| Ashkan Sadat Kyaee | Sorbonne University |
| Gautam Satishchandran | Princeton University |
| Gabriel Schmid | Università di Genova |
| Walter Simon | University of Vienna |
| Roland Steinbauer | University of Vienna |
| Thomas Stucker | ETH Zürich |
| Ethan Sussman | Massachusetts Institute of Technology |
| Zhongkai Tao | University of California, Berkeley |
| Rita Teixeira da Costa | University of Cambridge |
| Liam Urban | University of Vienna |
| András Vasy | Stanford University |
| Amir Vig | University of Michigan |
| Robert Wald | University of Chicago |
| David Wallauch-Hajdin | University of Vienna |
| Claude Warnick | University of Cambridge |
| Alden Waters | University of Leeds |
| Michał Wrochna | CY Cergy Paris Université |
| Jared Wunsch | Northwestern University Evanston |
| Raphaela Wutte | Free University of Brussels |
| Zoe Wyatt | King's College London |
| Ruben Zeitoun | CY Cergy Paris Université |
| Xuwen Zhu | Northeastern University |
| Maciej Zworski | University of California, Berkeley |