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Physics and Mathematics of Random Matrix Theory

Europe/Copenhagen
Aud. A (Niels Bohr International Academy)

Aud. A

Niels Bohr International Academy

Blegdamsvej 17, DK-2100 Copenhagen Denmark
Description
(Photo courtesy A. D. Jackson) Random Matrix Theory is a mature and yet very active field of research. What is new is the strong link and collaboration between Mathematics and Physics that has appeared in recent years and that we wish to foster here. This meeting aims to cover both theoretical aspects of random matrices, and applications ranging as widely as from Finance to String Theory. On the theoretical side we have seen a huge progress in mathematical universality proofs in the past 1-2 years. They extend know results from invariant to non-invariant classes of random matrices where the matrix elements are random variables subject to a few constraints on their moments. This has deepened our insight in the conditions under which results for eigenvalue correlation functions are independent of the probability distributions used. Progress has also been made in the area of graded symmetry, a technical but insightful tool to generate resolvent operators. It has been understood much better how to treat non-Gaussian ensembles exactly as well as their underlying determinantal or Pfaffian structures. Interestingly, one ingredient here is the free random variable approach for infinite dimensions matrices. Many applications of matrix models rely on the use of the Harish-Chandra integral. in recent year some progress has been made on non-standard Unitary groups and on correlation functions with this measure. Group integrals of this kind will therefore constitute an interesting and challenging part of the program. Turning to the application side - both in Mathematics and Physics we have seen several important developments recently. Topics we wish to cover include Econophysics, Statistical Mechanics, Quantum Chaos, Quantum Chromodynamics, String theory and Number theory. Main speakers:</fi> Y. Fyodorov T. Guhr U. Haagerup J. Keating A. Morozov B. Schlein J. Verbaarschot P. Zinn-Justin Organizing Committee: Gernot Akemann (Brunel University) Poul H. Damgaard (NBIA) Bergfinn Duurhus (Dept. of Mathematics, Copenhagen University) Jan Philip Solovej (Dept. of Mathematics, Copenhagen University) Kim Splittorff (NBI) Conference secretary: Helle Kiilerich (NBIA), e-mail: helle at nbi.dk Sponsored by: the Niels Bohr International Academy and the Danish Science Research Council..
Participants
  • Alan Luther
  • alexei morozov
  • Benjamin Schlein
  • Bergfinn Duurhus
  • Erik Duse
  • Gernot Akemann
  • Jacobus Verbaarschot
  • Jan Philip Solovej
  • Jon Keating
  • Kim Dang
  • Kim Splittorff
  • Lorna Brightmore
  • Paul Zinn-Justin
  • Pedro Vidal
  • Poul Henrik Damgaard
  • Thomas Guhr
  • Uffe Haagerup
  • Yan Fyodorov
    • 08:30 09:00
      Registration, coffee and workshop opening 30m Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 09:00 10:00
      Keating: RMT and Elliptic Curve L-functions 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 10:00 11:00
      Discussions + Coffee 1h NBIA lounge

      NBIA lounge

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 11:00 12:00
      Guhr: Doorway states coupled to a background: fidelity and survival probability 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 12:00 14:00
      Lunch 2h Canteen

      Canteen

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 14:00 14:40
      Haagerup: Asymptotic Expansions for the Gaussian Unitary Ensemble 40m Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 14:40 16:00
      Discussions + Coffee 1h 20m NBIA lounge

      NBIA lounge

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 09:00 10:00
      Verbaarschot: Random Matrix Theory and Wilson Fermions 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 10:00 11:00
      Discussions + Coffee 1h NBIA lounge

      NBIA lounge

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 11:00 12:00
      Schlein: Spectral properties of Wigner matrices 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 12:00 14:00
      Lunch 2h Canteen

      Canteen

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 14:00 15:00
      1) Giacomo Livan 2) Pedro Vidal 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
      Giacomo Livan: Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices Pedro Vidal: Preliminary results on the probability to have zero real eigenvalues for the GinOE
    • 15:00 16:00
      Discussions+Coffee 1h NBIA lounge

      NBIA lounge

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 16:00 17:00
      Morozov: Challenges of matrix models 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 17:00 18:00
      Discussions+Coffee 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 18:00 22:00
      Workshop Dinner 4h Resteaurant Quattro Fontane (Sant Hans Torv)

      Resteaurant Quattro Fontane

      Sant Hans Torv

    • 09:00 10:00
      Zinn-Justin: Planar algebras and Potts model on random lattices 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 10:00 11:00
      Discussions+Coffee 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 11:00 12:00
      Fyodorov: Freezing transition in decaying Burgers turbulence and random matrix duality 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark
    • 12:00 14:00
      Lunch 2h Canteen

      Canteen

      Niels Bohr International Academy

      Blegdamsvej 17, DK-2100 Copenhagen Denmark