Spectral Analysis of Quantum Hamiltonians
May 26 - May 30, 2025
The conference centers on rigorous, qualitative methods for studying eigenvalues of linear operators appearing in analysis and mathematical physics. Spectral theory has enabled mathematicians to tackle challenging problems such as the stability of matter, the behavior of quantum gases, and the emergence of complex phenomena in condensed matter systems. It has also become an indispensable tool in applied mathematics (theory of elasticity, hydrodynamics) and engineering. The goal of the conference is to bring together experts and emerging scholars in the field for a meeting with plenty of room for discussion. The conference is in honor of the work of Grigori Rozenblum, who recently turned 75, and is one of the major senior figures in spectral analysis.
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All conferences and research programs at IML are free of charge.
We will not ask you for any payments regarding your accommodation or travel arrangements.
Recorded seminars:
Seminars Scroll to the next upcoming seminar
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Rupert Frank: Lieb-Thirring inequalities for Schrödinger operators with critical background potential May 26 09:15 - 10:15 -
Medet Nursultanov: Negative eigenvalue estimates for the one-dimensional Schrödinger operator with measure potential May 26 10:45 - 11:45 Medet Nursultanov: Negative eigenvalue estimates for the one-dimensional Schrödinger operator with measure potential
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Iosif Polterovich: Steklov spectral asymptotics: seventy years and counting May 26 14:00 - 15:00 Iosif Polterovich: Steklov spectral asymptotics: seventy years and counting
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Rupert Frank – On the work of Grisha Rozenblum May 26 17:00 - 18:00 Rupert Frank – On the work of Grisha Rozenblum
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Grigori Rozenblum: Spectral properties of the resolvent difference of Schrödinger type operators with singular perturbat May 27 09:15 - 10:15 Grigori Rozenblum: Spectral properties of the resolvent difference of Schrödinger type operators with singular perturbat
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Gerd Grubb: Spectral estimates for fractional boundary value problems. May 27 10:45 - 11:45 Gerd Grubb: Spectral estimates for fractional boundary value problems.
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Svitlana Mayboroda: The landscape approach to the Weyl law and to the Wigner-Weyl formalism May 27 14:00 - 15:00 Svitlana Mayboroda: The landscape approach to the Weyl law and to the Wigner-Weyl formalism
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Søren Fournais:Tunnelling formulae for magnetic operators May 28 09:15 - 10:15 Søren Fournais:Tunnelling formulae for magnetic operators
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Edward McDonald: The density of states and Connes’ trace formula May 28 10:45 - 11:45 Edward McDonald: The density of states and Connes’ trace formula
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Eugenia Malinnikova: Uncertainty principles and Spectral inequalities May 28 14:00 - 15:00 Eugenia Malinnikova: Uncertainty principles and Spectral inequalities
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Bernard Helffer: Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains May 29 09:15 - 10:15 Bernard Helffer: Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
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Sabine Boegli: The essential numerical range for differential operators” May 29 10:45 - 11:45 Sabine Boegli: The essential numerical range for differential operators”
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Charlotte Dietze: Spectral estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains May 29 14:00 - 15:00 Charlotte Dietze: Spectral estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
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Barry Simon: (Online) Gap Labelling for Periodic Jacobi Matrices on Trees May 29 17:00 - 18:00 Barry Simon: (Online) Gap Labelling for Periodic Jacobi Matrices on Trees
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Jean Lagace: Steklov generically listens to the regularity, part I May 30 09:15 - 10:15 Jean Lagace: Steklov generically listens to the regularity, part I
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Alix Deleporte: Steklov generically listens to the regularity, part II May 30 10:45 - 11:45 Alix Deleporte: Steklov generically listens to the regularity, part II
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Sabine Boegli | University: Durham University | Country: United Kingdom | Arrival and Departure: |
| Alix Deleporte | University: Université Paris-Saclay | Country: France | Arrival and Departure: |
| Charlotte Dietze | University: Ludwig Maximilian University of Munich | Country: Germany | Arrival and Departure: |
| Benjamin Eichinger | University: Lancaster University | Country: United Kingdom | Arrival and Departure: |
| Nikolay Filonov | University: Steklov Mathematical Institute of Russian Academy of Sciences | Country: Russia | Arrival and Departure: |
| Soeren Fournais | University: University of Copenhagen | Country: Denmark | Arrival and Departure: |
| Rupert Frank | University: Ludwig Maximilian University of Munich | Country: Germany | Arrival and Departure: |
| Magnus Fries | University: Lund University | Country: Sweden | Arrival and Departure: |
| Alexandre Girouard (Online) | University: Université Laval | Country: Canada | Arrival and Departure: |
| Magnus Goffeng | University: Lund University | Country: Sweden | Arrival and Departure: |
| Gerd Grubb | University: Copenhagen University | Country: Denmark | Arrival and Departure: |
| Bernard Helffer | University: Nantes Université | Country: France | Arrival and Departure: |
| Pavel Kurasov | University: Stockholm University | Country: Sweden | Arrival and Departure: |
| Pär Kurlberg | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: |
| Jean Lagace | University: King's College London | Country: United Kingdom | Arrival and Departure: |
| Ari Laptev (Online) | University: Imperial College London | Country: United Kingdom | Arrival and Departure: |
| Simon Larson | University: University of Gothenburg | Country: Sweden | Arrival and Departure: |
| Annemarie Luger | University: Stockholm University | Country: Sweden | Arrival and Departure: |
| Douglas Lundholm (Online) | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Eugenia Malinnikova | University: Stanford University | Country: United States | Arrival and Departure: |
| Svitlana Mayboroda | University: ETH Federal Institute of Technology Zurich | Country: Switzerland | Arrival and Departure: |
| Ed McDonald | University: Penn State University | Country: United States | Arrival and Departure: |
| Germán Miranda | University: Lund University | Country: Sweden | Arrival and Departure: |
| Léo Morin | University: University of Copenhagen | Country: Denmark | Arrival and Departure: |
| Gustav Mårdby | University: Chalmer University of Technology | Country: Sweden | Arrival and Departure: |
| Phan Thanh Nam | University: Ludwig Maximilian University of Munich | Country: Germany | Arrival and Departure: |
| Medet Nursultanov | University: University of Helsinki | Country: Finland | Arrival and Departure: |
| Leonid Parnovski | University: University College London | Country: United Kingdom | Arrival and Departure: |
| Mikael Persson Sundqvist | University: Lund University | Country: Sweden | Arrival and Departure: |
| Iosif Polterovich | University: Université de Montréal | Country: Canada | Arrival and Departure: |
| Alexander Pushnitski | University: King's College London | Country: United Kingdom | Arrival and Departure: |
| Larry Read | University: LMU Munich | Country: Germany | Arrival and Departure: |
| Jakob Reiffenstein | University: Stockholm University | Country: Sweden | Arrival and Departure: |
| Jonathan Rohleder (Online) | University: Stockholm University | Country: Sweden | Arrival and Departure: |
| Julie Rowlett | University: University of Gothenburg | Country: Sweden | Arrival and Departure: |
| Grigori Rozenblum | University: Chalmers University of Technology | Country: Sweden | Arrival and Departure: |
| Timotheus Schmatzler | University: Stockholm University | Country: Sweden | Arrival and Departure: |
| Eugene Shargorodsky | University: King's College London | Country: United Kingdom | Arrival and Departure: |
| Barry Simon (Online) | University: California Institute of Technology | Country: USA | Arrival and Departure: |
| Jan-Philip Solovej | University: University of Copenhagen | Country: Denmark | Arrival and Departure: |
| Wulf Staubach | University: Uppsala University | Country: Sweden | Arrival and Departure: |
| Alexander Volberg | University: Michigan State University & Hausdorff Center for Math. | Country: United States, Germany | Arrival and Departure: |
| Timo Weidl | University: University of Stuttgart | Country: Germany | Arrival and Departure: |
| Aron Wennman | University: Katholieke Universiteit Leuven | Country: Belgium | Arrival and Departure: |