Home /  [HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1


[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 August 23, 2021 - August 27, 2021
Registration Deadline: October 05, 2021 almost 3 years ago
To apply for Funding you must register by: May 23, 2021 about 3 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Gérard Ben Arous (New York University, Courant Institute), Ivan Corwin (Columbia University), Ioana Dumitriu (University of California, San Diego), Alice Guionnet (École Normale Supérieure de Lyon), Alisa Knizel (The University of Chicago), Sylvia Serfaty (New York University, Courant Institute), Horng-Tzer Yau (Harvard University)

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An illustration of the TASEP interface growth by Leonid Petrov and Hao Yu Li.
This will be a hybrid workshop with in-person participation by members of the semester-long program. Online participation will be open to all who register.  This workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory. This workshop will be complemented by a Part 2 hybrid workshop in September (https://www.msri.org/workshops/946).
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Aug 23, 2021
09:10 AM - 09:30 AM
  Introductory Remarks
09:30 AM - 10:30 AM
  Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations
Lauren Williams (Harvard University)
10:45 AM - 11:45 AM
  On eigenvectors of perturbed Toeplitz matrices
Ofer Zeitouni (Weizmann Institute of Science)
Aug 24, 2021
09:30 AM - 10:30 AM
  Moments of Characteristic Polynomials and Integrability
Jon Keating (University of Oxford)
10:45 AM - 11:45 AM
  Unearthing random matrix theory in the statistics of L-functions: the story of Beauty and the Beast
Nina Snaith (University of Bristol)
12:00 PM - 01:00 PM
  On the circle, GMC = CBE
Reda Chhaibi (Université de Toulouse III (Paul Sabatier))
Aug 25, 2021
09:30 AM - 10:30 AM
  Cointegration, S&P, and random matrices
Vadim Gorin (University of Wisconsin-Madison)
10:45 AM - 11:45 AM
  Dynamical Loop Equations
Jiaoyang Huang (New York University, Courant Institute)
12:00 PM - 01:00 PM
  Transfer matrix approach to random band matrices
Tetiana Shcherbyna (University of Wisconsin-Madison)
Aug 26, 2021
09:30 AM - 10:30 AM
  Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices
Mireille Capitaine (Centre National de la Recherche Scientifique (CNRS))
10:45 AM - 11:45 AM
  Eigenstate thermalisation hypothesis and Gaussian fluctuations for Wigner matrices
Laszlo Erdos (Institute of Science and Technology Austria)
12:00 PM - 01:00 PM
  Delocalization of random band matrices in high dimensions
Jun Yin (University of California, Los Angeles)
Aug 27, 2021
09:30 AM - 10:30 AM
  Deformed Polynuclear Growth in (1+1) Dimensions
Alexei Borodin (Massachusetts Institute of Technology)
10:45 AM - 11:45 AM
  Towards KPZ universality
Jeremy Quastel (University of Toronto)