Boson-Fermion correspondence and quasimodular forms (Vladimir Fock, Strasbourg)

02.12.2015 10:30

Boson-fermion correspondence is a remarkable isomorphism which originally appeared in conformal field theory, and admitting a rather elementary formulation. We will discuss various applications of this correspondence in combinatorics, representation theory of symmetric groups and integrable systems. In particular we will present a recent argument suggested by Don Zagier proving that a large class of generating functions for combinatorially defined sequences are quasimodular forms, which allows to compute them explicitly.

Lieu

Bâtiment: Villa Battelle

Séminaire "Groupes de Lie et espaces des modules"

entrée libre