PCMI Summer School: Random Matrices
- 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
Problems?
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