Institut Montpelliérain Alexander Grothendieck August 24 - 28, 2015

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.

- Vincent Rivasseau:
*Constructive Renormalization via Loop Vertex Expansion*(slides) - Gordon Slade:
*Renormalisation group and 4-dimensional critical phenomema*(look at Gordon's webpage for references and reading advices) - Uwe Tauber:
*Field theory approach to equilibrium critical phenomena*(slides)

- Sylvain Carrozza:
*Renormalization of Tensorial (Group) Field Theories*(slides) - Serena Cenatiempo:
*Critical phases for non-relativistic two dimensional interacting bosons: Renormalization group results*(slides) - Pierre Clavier:
*Alien calculus and transseries for a Schwinger-Dyson equation* - Giovanni Felder:
*Discrete factorization algebras* - Malte Henkel:
*Non-relativistic variants of conformal invariance and physical ageing*(slides) - Uwe Tauber:
*Critical dynamics in driven-dissipative Bose-Einstein condensation*(slides)