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Quantum Dynamics and Spectral Theory

June 10 - June 14, 2024

Since the early days of mathematical quantum theory, it has been known that quantum dynamics and spectral theory are inseparably linked to each other.

Indeed, apart from spectral theory there are natural connections of the subject to harmonic analysis, theory of oscillatory integrals or scattering theory. In fact, the diversity of topics and methods in spectral theory has led to the existence of various sub-areas, and while many methods and ideas from the study of one topic may be relevant to that of another, this is not always clear to specializing researchers. This conference aims towards rectifying this situation, bringing together experts and students from three central areas of spectral theory, where we believe useful connections can be made and where a creative research environment can be promoted.

Seminars Scroll to the next upcoming seminar

  • Ari Laptev: A sharp Lieb-Thirring inequality for functional difference operators June 10 10:00 - 10:50

    Ari Laptev: A sharp Lieb-Thirring inequality for functional difference operators

  • Jonathan Rohleder: Spectral inequalities for Laplacian and curl-curl eigenvalue June 10 11:20 - 12:10

    Jonathan Rohleder: Spectral inequalities for Laplacian and curl-curl eigenvalue

  • Dirk Hundertmark: Quantum systems at The Brink: Sharp bounds. The asymptotic behavior of bound states. June 10 14:00 - 14:50

    Dirk Hundertmark: Quantum systems at The Brink: Sharp bounds. The asymptotic behavior of bound states.

  • Marvin Schulz: On the Maximal Excess Charge of Atoms June 10 14:50 - 15:15

    Marvin Schulz: On the Maximal Excess Charge of Atoms

  • Arne Jensen: Resolvent expansions for the three dimensional magnetic Schrödinger and Pauli operators. June 10 15:45 - 16:35

    Arne Jensen: Resolvent expansions for the three dimensional magnetic Schrödinger and Pauli operators.

  • Matthias Baur: Optimization of Eigenvalues of the planar magnetic Dirichelt Laplacian June 10 16:35 - 17:00

    Matthias Baur: Optimization of Eigenvalues of the planar magnetic Dirichelt Laplacian

  • David Damanik: Generic spectral properties of ergodic Schroedinger operators June 11 09:00 - 09:50

    David Damanik: Generic spectral properties of ergodic Schroedinger operators

  • Alain Joye: Quantum Reset Models: Dynamics, Steady States and Entropy Production June 11 09:50 - 10:40

    Alain Joye: Quantum Reset Models: Dynamics, Steady States and Entropy Production

  • Milivoje Lukic: Universality limits via canonical systems June 11 11:10 - 12:00

    Milivoje Lukic: Universality limits via canonical systems

  • Jean Marie Barbaroux: Magnetic Dirac Systems: Violation of bulk-edge correspondence in the zigzag limit June 11 14:00 - 14:50

    Jean Marie Barbaroux: Magnetic Dirac Systems: Violation of bulk-edge correspondence in the zigzag limit

  • Michele Correggi: Schroedinger and Pauli Operators with Aharonov-Bohm Fluxes June 11 14:50 - 15:40

    Michele Correggi: Schroedinger and Pauli Operators with Aharonov-Bohm Fluxes

  • Luca Fanelli: A priori estimates for the resolvent of the Heisenberg sublaplacian June 11 16:10 - 17:00

    Luca Fanelli: A priori estimates for the resolvent of the Heisenberg sublaplacian

  • Rupert Frank: On the spectrum of the Kronig–Penney model in a constant electric field June 12 09:00 - 09:50

    Rupert Frank: On the spectrum of the Kronig–Penney model in a constant electric field

  • Mira Shamis: On the abominable properties of the Almost Mathieu operator with Liouville frequencies June 12 09:50 - 10:40

    Mira Shamis: On the abominable properties of the Almost Mathieu operator with Liouville frequencies

  • Lucrezia Cossetti: Spectral stability via the method of multipliers June 12 11:10 - 11:35

    Lucrezia Cossetti: Spectral stability via the method of multipliers

  • Netanel Levi: Alpha-Subordinacy Theory of Schroedinger Operators on Z June 12 11:35 - 12:00

    Netanel Levi: Alpha-Subordinacy Theory of Schroedinger Operators on Z

  • Horia Cornean: On the  self-consistent Landauer-Büttiker formalism June 12 14:00 - 14:50

    Horia Cornean: On the  self-consistent Landauer-Büttiker formalism

  • Noema Nicolussi: Self-adjoint extensions of infinite quantum graphs June 12 14:50 - 15:15

    Noema Nicolussi: Self-adjoint extensions of infinite quantum graphs

  • Conni Liaw: Aleksandrov-Clark Theory and its generalizations June 12 15:45 - 16:35

    Conni Liaw: Aleksandrov-Clark Theory and its generalizations

  • Ram Band: The Dry Ten Martini Problem for Sturmian Schrödinger Operators June 12 16:35 - 17:25

    Ram Band: The Dry Ten Martini Problem for Sturmian Schrödinger Operators

  • Pavel Exner: Geometrically induced discrete spectrum in soft quantum waveguides June 13 09:00 - 09:50

    Pavel Exner: Geometrically induced discrete spectrum in soft quantum waveguides

  • Matthias Keller: On Landis conjecture for Schrödinger operators on graphs June 13 09:50 - 10:40

    Matthias Keller: On Landis conjecture for Schrödinger operators on graphs

  • Matania Ben Artzi: Non-Concentration for the acoustic operator in layered media June 13 11:10 - 12:00

    Matania Ben Artzi: Non-Concentration for the acoustic operator in layered media

  • Aleksey Kostenko: Trace formulas and inverse spectral theory for strings June 13 14:00 - 14:50

    Aleksey Kostenko: Trace formulas and inverse spectral theory for strings

  • Jonathan Eckhardt: Inverse spectral theory for strings and the conservative Camassa-Holm flow June 13 14:50 - 15:40

    Jonathan Eckhardt: Inverse spectral theory for strings and the conservative Camassa-Holm flow

  • Daniel Lenz: Schreier graphs of Grigorchuk’s group and simple Toeplitz subshifts June 13 16:10 - 17:00

    Daniel Lenz: Schreier graphs of Grigorchuk’s group and simple Toeplitz subshifts

  • Jacob Shapiro: Double-Well Eigenvalue Splitting: Excited and Non-Radial Magnetic States June 14 09:00 - 09:50

    Jacob Shapiro: Double-Well Eigenvalue Splitting: Excited and Non-Radial Magnetic States

  • Pavel Kurasov: M-functions and maximal dissipative operators on metric graphs June 14 09:50 - 10:40

    Pavel Kurasov: M-functions and maximal dissipative operators on metric graphs

  • Sven Gnutzmann: Information scrambling and chaos induced by a Hermitian matrix June 14 11:10 - 12:00

    Sven Gnutzmann: Information scrambling and chaos induced by a Hermitian matrix

Participants

Name University Country Arrival and Departure
Ram
Band
University: Technion & Potsdam City: Israel Arrival and Departure:
Jean-Marie
Barbaroux
University: Centre de Physique Theorique, Toulon university City: France Arrival and Departure:
Matthias
Baur
University: Stuttgart University City: Germany Arrival and Departure:
Matania
Ben-Artzi
University: Hebrew University of Jerusalem City: Israel Arrival and Departure:
William
Borrelli (ONLINE)
University: Politecnico di Milano City: Italy Arrival and Departure:
Jonathan
Breuer
University: The Hebrew University of Jerusalem City: Israel Arrival and Departure:
Alice
Brolin
University: Stockholm University City: Sweden Arrival and Departure:
Domenico
Cafiero (ONLINE)
University: Politecnico di Milano City: Italy Arrival and Departure:
Biagio
Cassano
University: Università della Campania "L. Vanvitelli" City: Italy Arrival and Departure:
Horia
Cornean
University: Aalborg Universitet City: Denmark Arrival and Departure:
Michele
Correggi
University: Politecnico di Milano City: Italy Arrival and Departure:
Lucrezia
Cossetti (ONLINE)
University: UPV/EHU & Ikerbasque City: Spain Arrival and Departure:
David
Damanik
University: Rice University City: United States Arrival and Departure:
Jonathan
Eckhardt
University: Loughborough University City: United Kingdom Arrival and Departure:
Pavel
Exner
University: Czech Academy of Sciences City: Czech Republic Arrival and Departure:
Luca
Fanelli
University: IkerBasque, Universidad del Pais Vasco, BCAM City: Spain Arrival and Departure:
Davide
Fermi
University: Politecnico di Milano City: Italia Arrival and Departure:
Rupert
Frank
University: LMU Munich City: Germany Arrival and Departure:
Fritz
Gesztesy (ONLINE)
University: Baylor University City: United States Arrival and Departure:
Sven
Gnutzmann
University: University of Nottingham City: United Kingdom Arrival and Departure:
Dirk
Hundertmark
University: Karlsruhe Institute of technology (KIT) City: Germany Arrival and Departure:
Arne
Jensen
University: Aalborg University City: Denmark Arrival and Departure:
Alain
Joye
University: Institut Fourier, Univ Grenoble Alpes City: France Arrival and Departure:
Matthias
Keller
University: University of Potsdam City: Germany Arrival and Departure:
Aleksey
Kostenko
University: University of Ljubljana City: Slovenia Arrival and Departure:
Hynek
Kovarik
University: Università di Brescia City: Italy Arrival and Departure:
Peter
Kuchment (ONLINE)
University: Texas A&M University City: United States Arrival and Departure:
Pavel
Kurasov
University: Stockholm University City: Sweden Arrival and Departure:
Ari
Laptev
University: ICL Imperial College London City: United Kingdom Arrival and Departure:
Daniel
Lenz
University: Institut for Mathematics, Friedrich-Schiller University Jena City: Germany Arrival and Departure:
Netanel
Levi
University: Hebrew University of Jerusalem City: Israel Arrival and Departure:
Constanze
Liaw
University: University of Delaware City: United States Arrival and Departure:
Wencai
Liu (ONLINE)
University: Texas A&M University City: United States Arrival and Departure:
Milivoje
Lukic
University: Rice University City: United States Arrival and Departure:
Noema
Nicolussi
University: Graz University of Technology City: Austria Arrival and Departure:
Leonid
Parnovski
University: University College London City: United Kingdom Arrival and Departure:
Jonathan
Rohleder
University: Stockholm University City: Sweden Arrival and Departure:
Timotheus
Schmatzler
University: Stockholm University City: Sweden Arrival and Departure:
Marvin
Schulz
University: Karlsruher Institut für Technologie City: Germany Arrival and Departure:
Eyal
Seelig
University: Hebrew University of Jerusalem City: Israel Arrival and Departure:
Mira
Shamis
University: QMUL Queen Mary University of London City: United Kingdom Arrival and Departure:
Jacob
Shapiro
University: Princeton City: United States Arrival and Departure:
Gerald
Teschl
University: Universoty of Vienna City: Austria Arrival and Departure:
Timo
Weidl
University: Stuttgart University City: Germany Arrival and Departure: