Upcoming PCMI Summer Sessions

2017 Summer Session:

Research Topic: Random Matrices

Dates: June 25 - July 15, 2017
Location: Park City, Utah

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

2018 Summer Session:

Research Topic: Harmonic Analysis

Dates: July 1 - 21, 2018
Location: Park City, Utah

Organizers:   Carlos Kenig (University of Chicago), Fang-Hua Lin (Courant Institute), Svitlana Mayboroda (University of Minnesota),  and Tatiana Toro (University of Washington)

Lecturers: To be announced

Clay Senior Scholars-in-Residence: To be announced