Joel S. Feldman

(Université de la Colombie-Britannique)

Prix CRM-CAP 2007 Prize

Perturbation Theory for Many Fermion Systems

Much of our understanding of the behaviour of crystals at low temperatures comes from quantum field theory models for many fermion systems. Perturbation theory has long been one of the main tools used to extract predictions from such models. I will discuss some of the rigorous results, concerning those perturbation expansions, that have been achieved in the past decade or so. 

Le jeudi 18 octobre 2007 / Thursday, October 18, 2007
16 h 30 / 4:30 p.m.

Centre de recherches mathématiques
Université de Montréal
avillon André-Aisenstadt, 2920, ch. de la Tour
Salle / Room 5340

 

Prix CRM-Fields-PIMS 2007 Prize

A Functional Integral Representation for Many Boson Systems 

Functional integrals have long been used, formally, to provide intuition about the behaviour of quantum field theories. For the past several decades, they have also been used, rigorously, in the construction and analysis of those theories. I will talk about a rigorous variant of a standard  functional integral representation for the (cutoff) partition function of a  many Boson system that provides a suitable starting point for its construction.

Le vendredi 19 octobre 2007 / Friday, October 19, 2007

16 h / 4:00 p.m.

Centre de recherches mathématiques
Université de Montréal
Pavillon André-Aisenstadt, 2920, ch. de la Tour
Salle / Room 6214

Une réception suivra la conférence au Salon Maurice-l'Abbé,
Pavillon André-Aisenstadt (Salle 6245).

There will be a reception after the lecture in Salon Maurice-l'Abbé,
Pavillon André-Aisenstadt (Room 6245).