Hausdorff School on Log-correlated Fields

Dates: June 11 - 14, 2018

Venue: Lipschitz-Saal, Endenicher Allee 60

Organizers: Gaëtan Borot (Bonn), Anton Bovier (Bonn), Margherita Disertori (Bonn), Patrik Ferrari (Bonn)

Details

Log-correlated fields, and in particular their extreme values, have rich properties due to their multiscale nature. They form a universality class with many realizations in physics and mathematics – the twodimensional Gaussian free field being the simplest example. Results of the past ten years exhibit properties similar to log-correlated fields in

  • branching Brownian motions,
  • the logarithm of a characteristic polynomial of a random matrix
  • the values of Riemann zeta on the critical line

The study of these problems is often interrelated, importing ideas from random matrix theory, analytic number theory, and stochastic processes, and benefits from physical arguments like the replica trick and the study of random energy landscapes, sometimes leading to far-reaching conjectures. This summer school aims at giving a unified introduction of these topics in light of the recent advances. It consists of three mini-courses, completed by a small number of research talks, and a poster session.
 

Lecturers: 
 

  • Paul Bourgade (NYU)
  • Lisa Hartung (NYU)
  • Jon Keating (Bristol)

 
Speakers:

Louis-Pierre Arguin (CUNY), Yan Fyodorov (Kings‘s College), Oren Louidor (Technion), Bastien Mallein (Paris 13 ), Joseph Najnudel (Cincinnati), Sasha Sodin (Queen Mary).


In case you are interested in participating, please fill out the application form. The deadline for applications is 30th March 2018. All applications, submitted after that will be considered on an individual basis.