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Home » [HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2

Workshop

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021
Registration Deadline: September 24, 2021 2 months ago
To apply for Funding you must register by: June 30, 2021 5 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Gérard Ben Arous (New York University, Courant Institute), 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)
Speaker(s)

Show List of Speakers

Description
Image
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. In addition, this workshop will also explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers. There will be some special activities originally planned for the Connections Workshop: We will have a panel discussion of topics relevant to junior researchers, women, and minorities; a poster session for students and recent PhDs; and other social events. This workshop is open to and welcomes all mathematicians. This workshop will be complemented by a Part 1 hybrid workshop in August (https://www.msri.org/workshops/947)
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • random matrices

  • universality

  • integrability

  • particle systems

  • stochastic partial differential equations

  • statistical mechanics

  • KPZ

  • free probability

  • Coulomb gases

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Sep 20, 2021
Monday
08:30 AM - 09:15 AM
  Welcome Tea
09:15 AM - 09:30 AM
  Introduction
09:30 AM - 10:20 AM
  Rare Events in RMT and Spherical Integrals
Alice Guionnet (École Normale Supérieure de Lyon)
10:35 AM - 11:25 AM
  Fluctuations of the Characteristic Polynomial of Random Jacobi Matrices
Fanny Augeri (Weizmann Institute of Science)
11:40 AM - 12:30 PM
  The Stochastic Airy Operator and an Interesting Eigenvalue Process
Diane Holcomb (Royal Institute of Technology)
12:30 PM - 01:30 PM
  Lunch
01:30 PM - 02:10 PM
  Random Zoom Rooms
02:10 PM - 03:00 PM
  Mixing Times for the Simple Exclusion Process with Open Boundaries
Evita Nestoridi (Princeton University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Panel Discussion on Work/Life
Sep 21, 2021
Tuesday
08:40 AM - 09:30 AM
  Random Zoom Rooms
09:30 AM - 10:20 AM
  Topics on Log and Coulomb Gases
Sylvia Serfaty (New York University, Courant Institute)
10:30 AM - 11:30 AM
  Participant Presentation Session
11:30 AM - 12:20 PM
  Random Matrices in Iterative Linear Solvers: Corruption Removal and Sketching
Liza Rebrova (Princeton University)
12:30 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Participant Presentation Session
02:30 PM - 03:20 PM
  Fredholm Determinant Solutions of the Painlevé II Hierarchy and Gap Probabilities of Determinantal Point Processes
Manuela Girotti (Saint Mary's University; Concordia University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 04:50 PM
  Principal Components of Spiked Covariance Matrices
Ke Wang (Hong Kong University of Science and Technology)
Sep 22, 2021
Wednesday
09:00 AM - 09:50 AM
  Random Forests and Nonlinear Sigma Models (and What These Have to Do with Random Matrices)
Roland Bauerschmidt (University of Cambridge)
10:05 AM - 10:55 AM
  Counting Points in Boxes: the Riesz Family & Friends
Thomas Leblé (Université de Paris V (René Descartes))
11:10 AM - 12:00 PM
  Rank One Imaginary Perturbation for Hermitian Random Matrices in the Case of Band Matrices
Mariya Shcherbina (B. Verkin Institute for Low Temperature Physics)
12:15 PM - 01:05 PM
  Generalized Moments of the Classical Compact Groups
Emma Bailey (City University of New York (CUNY))
01:05 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Free Discussion Time
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Free Discussion Time
Sep 23, 2021
Thursday
09:00 AM - 09:50 AM
  Three Recipes for the Directed Landscape
Bálint Virág (University of Toronto)
10:05 AM - 10:55 AM
  Universality Results in Random Lozenge Tilings
Amol Aggarwal (Columbia University)
11:10 AM - 12:00 PM
  Stationary Measure for the Open KPZ Equation
Ivan Corwin (Columbia University)
12:15 PM - 01:05 PM
  Stability and Chaos in Dynamical Last Passage Percolation
Alan Hammond (University of California, Berkeley)
01:05 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Free Discussion Time
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Free Discussion Time
Sep 24, 2021
Friday
09:00 AM - 09:50 AM
  The Fyodorov-Hiary-Keating Conjecture
Paul Bourgade (New York University, Courant Institute)
10:05 AM - 10:55 AM
  Spectral Gap in Regular Graphs and Hypergraphs
Ioana Dumitriu (University of California, San Diego)
11:10 AM - 12:00 PM
  Localization and Delocalization in Erdös-Rényi Graphs
Antti Knowles (University of Geneva)
12:00 PM - 12:30 PM
  Free Discussion Time
12:30 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Free Discussion Time
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Free Discussion Time