19–21 nov. 2025
IHES
Fuseau horaire Europe/Paris

Steinberg Symbol and Tau Function

20 nov. 2025, 14:00
50m
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons

IHES

Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Vladimir Fock (IRMA Strasbourg)

Description

Steinberg symbol is a multiplicative bicharacter of a ring satisfying additional (Steinberg) relation. Beilinson in 1982 suggested an explicit expression for a canonical symbol for the ring functions on a circle. This symbol can be interpreted as a multiplicative analogue of a residue and also as a cocycle defining the Heisenberg group. We will show how one can define the boson-fermion correspondence using the symbol and show that the finite-gap tau-function can be interpreted as an automorphic form.

Documents de présentation