February 20 - 24, 2017

Lipschitz-Saal, Endenicher Allee 60

Organizers: Massimiliano Gubinelli, Hendrik Weber

Description:

Stochastic partial differential equations (SPDE) arise naturally in many models in Statistical Physics and Quantum Field Theory. In many cases these equations are driven by a very irregular noise term which renders their rigorous mathematical treatment challenging and forces to perform a renormalisation procedure which amounts to removing formally infinite terms from the equation.

This Hausdorff school is intended for motivated graduate and postdoctoral students who want to get acquainted with the recent developments in this field with a particular emphasis on Hairer’s groundbreaking work on regularity structures. The specific aims of the school are on the one hand to expose the algebraic structure and the multi-scale analysis which allow to automatise certain perturbative calculations, and on the other hand to discuss a PDE and regularity theory point of view on these equations. A particular focus will be on the interactive exercise sessions in which students will acquire hands-on experience in working with regularity structures.

Recordings of the talks are available at Mediaserver .

Lecture Series by: 

• Ajay Chandra (University of Warwick)
  • An analytic BPHZ theorem for regularity structures
• Nicolas Perkowski (Humboldt-Universität Berlin)
  • Paracontrolled distributions and singular diffusions
• Hendrik Weber (University of Warwick)
  • A PDE perspective on rough SPDE and regularity structures
• Lorenzo Zambotti (Université Paris 6 -Pierre et Marie Curie)
  • Algebraic renormalisation of regularity structures