International Scientific Workshop

Renormalisation from Quantum Field Theory 
to Random and Dynamical Systems

07.-09. November 2013

University of Potsdam

The meeting aims at investigating the uses of renormalisation techniques inspired from physics beyond their original field of application, namely beyond quantum field theory. The need to renormalise arises in many a field such as in the theory of random PDEs and dynamical systems and in various disguises. Solving PDEs with singular (typically random) input or local dynamical systems via a linearisation procedure, involves taking limits of regularised expressions modified by the addition of diverging counterterms in order to ensure a convergence. These counterterms arise naturally through the action of a "renormalisation group", a concept borrowed from quantum field theory. The work of Dirk Kreimer and Alain Connes who gave an algebraic reformulation in the context of Hopf algebras, of the forest formula used by physicists, provides algebraic tools to organise the counterterms by means of a Birkhoff-Hopf factorisation. This algebraic approach to issues of an a priori purely analytic nature was the source of inspiration for further developments on the tree structure underlying the combinatorics of Feynman diagrams. This meeting, which aims at providing an insight on the interaction between purely analytic renormalisation issues and the algebraic constructions used to approach them, is organised around the following topics:

Confirmed Speakers: 

Abstracts

Schedule

Slides of the talks: 

Pictures of the workshop 
Click on a picture to enlarge.