PCMI Summer School: Random Matrices

pr.probability
Start Date
2017-06-26 
End Date
2017-07-14 
Institution
Institute for Advanced Studies 
City
Park City Utah 
Country
USA 
Meeting Type
conference 
Homepage
https://pcmi.ias.edu/upcoming 
Contact Name
Ivan Corwin 
Created
 
Modified
 

Description

Organizers: Alexei Borodin (MIT), Ivan Corwin (Columbia), and Alice Guionnet (CNRS-ENS Lyon)

Lecturers: Percy Deift (New York University), Ioana Dumitriu (University of Washington), Laszlo Erdos (Institute of Science and Technology Austria), Yan Fyodorov (Queen Mary University of London), Jeremy Quastel (University of Toronto), Mark Rudelson (University of Michigan), Sylvia Serfaty (Université Pierre et Marie Curie Paris 6), Dimitri Shlyakhtenko (University of California, Los Angeles), Terence Tao (University of California, Los Angeles), and Balint Virag (University of Toronto)

Clay Senior Scholars-in-Residence: Craig Tracy (University of California, Davis), H.T. Yau (Harvard University)

Random matrix theory sits at the interface of many fields of mathematics and physics, as well as has practical applications in areas of computer science and statistics. The purpose of this school is to provide an introduction (through mini-courses and research talks) to many exciting areas of recent research in and around random matrix theory.

The topics covered in the school will include:

  • Universality of spectral statistics

  • High dimensional geometry and concentration methods

  • Free probability

  • Kardar-Parisi-Zhang universality class

  • Orthogonal polynomials, Riemann-Hilbert Problems and Painleve transcendents

  • Applications of random matrices in statistical physics, including spin-glasses

  • Numerical analysis of random matrices

  • Topological recursions and random maps

  • Random tilings

  • Random matrices and analytic number theory

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