Columbia Home
Upcoming Conferences and Special Lectures

Thera Stochastics: A Mathematics Conference in Honor of Ioannis Karatzas

A conference to celebrate the contributions of Prof. Ioannis Karatzas will be held at The Petros M. Nomikos Conference Centre, Fira, Santorini, Greece.
Dates: May 31 – June 2, 2017
Organizers: Michail Anthropelos, Constantinos Kardaras, Marcel Nutz, Johannes Ruf

For more information, please visit the conference website:
http://www.math.columbia.edu/department/thera/index.shtml
Registration is required.

 


 

Dyson-Schwinger equations, topological expansions, and random matrices

August 28 to September 1, 2017
Columbia University, Mathematics Department

Understanding the large dimension asymptotics of random matrices or related models such as random tilings has been a hot topic for the last twenty years within probability, mathematical physics, and statistical mechanics. Because such models are highly correlated, classical methods based on independent variables fail. Special cases have been studied in detail thanks to specific forms of the laws, such as determinantal laws. These lectures will investigate a general class of models using the so called Dyson-Schwinger equations or generalizations such as Nekrasov’s equations. The idea is similar to Stein’s method in that the observables are approximate solutions of equations that can be solved asymptotically.

Alice Guionnet (Lyon) will give ten main lectures, divided into two per day. Besides these lectures there will be supplementary lectures by other senior researchers attending the school, including:

This school is intended for graduate students and postdocs who are starting to learn random matrix theory and have some background in probability. Lecture notes will be distributed in advance for preparation and tutorials and problem sessions will be run throughout the school.

Conference website: http://www.math.columbia.edu/department/probability/seminar/guionnet.html

Print this page