Actualités

Dans cet exposé je discuterai de la conjecture de cristallisation, qui consiste à prouver que des points se mettent automatiquement sur un réseau périodique, dans certaines situations. Je parlerai principalement du cas particulier des "gaz de Riesz et de Coulomb" qui sont omniprésents dans de nombreuses branches des mathématiques. Ils décrivent par exemple la répartition des zéros de solutions d'équations aux dérivées partielles, la statistique des valeurs propres des matrices aléatoires, le placement optimal de points de discrétisation sur des surfaces, et sont reliés à la fonction Zeta de Epstein.

School Coulomb Gas, Integrability and Painlevé Equations, 11-15 March 2019, CIRM Luminy, France

The purpose of the research school "Coulomb Gas, Integrability and Painlevé Equations" is to introduce a new generation of researchers to the various aspect of integrability that emerges in random systems. The participants will learn about modern methods from several branches of contemporary Mathematics and Mathematical Physics, together with their fruitful applications.

The topic includes
a) Determinantal point processes that arise in a wide range of problems in asymptotic combinatorics, representation theory and mathematical physics.
b) Toeplitz determinants that appear in many statistical mechanics models.
c) Operator theory of beta ensembles that describes random matrix theory as an asymptotic spectral theory.
d) Connections between random matrices and number theory.
e) Integrable systems with random initial data.

School lecturers:
Estelle Basor, (American Institute of Mathematics, Palo Alto, USA)
Alexander Bufetov (CNRS, Aix-Marseille Université, France)
Tamara Grava (SISSA - Bristol)
Alexander Its (Indiana University & Purdue University, USA)
John Keating (Bristol University, UK)
Ken McLaughlin (Colorado State University, USA)
Brian Rider (Temple University, USA)

Scientific Committee: Jinho Baik (University of Michigan), Alexander Bufetov (CNRS, Aix-Marseille Université), Mattia Cafasso (Université d'Angers), Tamara Grava (SISSA Trieste & Bristol University), Ken McLaughlin (Colorado State University)

The school will bring together PhD. students, Postdoctoral researchers, and faculty members, to focus on the new developments in these fertile lines of research. The school will offer the opportunity to some participants to present their own work in short contributions.

Registration dead-line to apply for financial support: 27 January 2019.
Arrival day: Sunday evening; Departure day: Friday after lunch.
Application form at: https://www.chairejeanmorlet.com/2019-1-grava-bufetov-2105.html

conference on
on Non-Archimedean and Tropical Geometry" in Regensburg in summer 2019.
The exact date is from July 28st to August 3th, 2019.
Detailed information and a registration form can be found on our website

https://www.uni-regensburg.de/mathematics/natrop2019/

We would be happy if you could forward this email to interested students.