Renormalization in statistical physics and lattice field theories

Institut Montpelliérain Alexander Grothendieck August 24 - 28, 2015


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Statistical mechanics on lattices have been considered for a long time and revealed deep mathematical structures: the Virasoro Lie algebra and a particular irreducible
representation of it naturally comes from the Ising model, to mention a single example. More recently, renormalization group methods have been considered both in statistical
mechanics (V. Lecomte, U. Täuber, F. van Wijland) and for lattice field theories (D.Brydges and G. Slade), and the underlying mathematical structures precised.
This conference will address the recent advances on this subject, and confront them to other aspects of renormalization in statistical mechanics and quantum field theory.

Lecture series:
Supported by: GDR "Renormalization", Institut Universitaire de France, Simons Foundation