Spectral Theory and Mathematical Relativity

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

June 19, 2023
09:30 — 10:00
Registration & Welcome
10:00 — 10:30
Coffee break
10:30 — 11:30
Birgit Schörkhuber

Singularity formation, stability and spectral analysis I

11:30 — 13:30
Lunch break
13:30 — 14:30
Maciej Zworski

Microlocal methods for operators
with analytic coefficients I: FBI transforms, inversion formulas and analytic wave front sets

14:30 — 15:00
Coffee break
15:30 — 16:30
Birgit Schörkhuber

Singularity formation, stability and spectral analysis II

16:30 — 17:00
Discussions
June 20, 2023
09:00 — 10:00
Birgit Schörkhuber

Singularity formation, stability and spectral analysis III

10:00 — 10:30
Coffee break
10:30 — 11:30
Alexander Strohmaier

Spectral theory of stationary spacetimes I: Normally hyperbolic operators on spacetimes and solution theory

11:30 — 13:00
Lunch break
13:00 — 14:00
Birgit Schörkhuber

Singularity formation, stability and spectral analysis IV

14:00 — 14:30
Coffee break
14:30 — 15:30
Maciej Zworski

Microlocal methods for operators
with analytic coefficients II: Microlocal elliptic regularity

15:30 — 17:00
Discussions
June 21, 2023
09:00 — 10:00
Dietrich Häfner
10:00 — 10:30
Coffee break
10:30 — 11:30
Alexander Strohmaier

Spectral theory of stationary spacetimes 2: Normal forms of stationary spacetimes and energy forms

11:30 — 14:00
Lunch break
14:00 — 17:00
Free afternoon & discussions
June 22, 2023
09:00 — 10:00
Maciej Zworski

Microlocal methods for operators
with analytic coefficients III: Kashiwara's watermelon theorem

10:00 — 10:30
Coffee break
10:30 — 11:30
Dietrich Häfner
11:30 — 13:30
Lunch break
13:30 — 14:30
Alexander Strohmaier

Spectral theory of stationary spacetimes III: Trace formulas

14:30 — 15:00
Coffee break
15:00 — 16:00
Dietrich Häfner
16:00 — 17:00
Discussions
June 23, 2023
09:00 — 10:00
Alexander Strohmaier

Spectral theory of stationary spacetimes IV: Spectral asymptotics

10:00 — 10:30
Coffee break
10:30 — 11:30
Maciej Zworski

Microlocal methods for operators
with analytic coefficients IV: Applications to unique continuation

11:30 — 13:30
Lunch break
13:30 — 14:30
Dietrich Häfner
July 10, 2023
09:30 — 10:00
Registration and Welcome
10:00 — 10:50
Speaker 1
11:00 — 11:50
Speaker 2
12:00 — 14:00
Lunch Break
14:00 — 14:50
Speaker 3
14:50 — 15:30
Coffee break
15:30 — 16:20
Speaker 4
July 11, 2023
09:00 — 09:50
Speaker 5
10:00 — 10:50
Speaker 6
11:00 — 11:50
Speaker 7
12:00 — 14:00
Lunch Break
14:00 — 14:50
Speaker 8
14:50 — 15:30
Coffee break
15:30 — 16:20
Speaker 9
July 12, 2023
09:00 — 09:50
Speaker 10
10:00 — 10:50
Speaker 11
10:50 — 11:20
Coffee break
11:20 — 12:10
Speaker 12
Free afternoon
July 13, 2023
09:00 — 09:50
Speaker 13
10:00 — 10:50
Speaker 14
11:00 — 11:50
Speaker 15
12:00 — 14:00
Lunch break
14:00 — 14:50
Speaker 16
14:50 — 15:30
Coffee break
15:30 — 16:20
Speaker 17
July 14, 2023
09:00 — 09:50
Speaker 18
10:00 — 10:50
Speaker 19
11:00 — 11:50
Speaker 20
12:00 — 13:30
Lunch break
13:30 — 14:20
Speaker 21
14:30 — 15:20
Speaker 22
This event has no subevents associated to it.

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
At a glance
Type:
Thematic Programme
When:
June 5, 2023 — July 28, 2023
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)