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Seminars

Seminar
FIELD Math:Geometry
DATE December 21 (Mon), 2020
TIME 16:00-17:00
PLACE Online
SPEAKER Bourgine, Jean-Emile
HOST Bhamidi, S.S Sreedhar
INSTITUTE  
TITLE [GS_M_3W] Three W's Seminar: Quantum toroidal algebras: Why? What? HoW?
ABSTRACT Following the iconic formula of the 3W seminar, I will
attempt to explain why this mathematical object came to occupy the
greatest part of my time over the last four years. Taking both
mathematics and physics perspectives, I shall explain how this algebra
manages to unify objects of a very different nature: quantum groups, W-
algebras and Hecke algebras. These considerations will lead us to three
"What?", or three different ways of constructing the algebras. Finally,
the "HoW" will focus on the vertex operators, showing how the same
technique is used in different models of theoretical physics: 2d
Conformal Field Theories, Quantum Integrables Systems and Topological
String Theory.
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