MS Seminar (Mathematics - String Theory)

Speaker: Andrei Negut (MIT)
Title: Two types of shuffle algebras associated to gl_n^^
Date (JST): Tue, Jun 04, 2019, 13:15 - 14:45
Place: Seminar Room A
Abstract: I will present two incarnations of the quantum toroidal algebra U_{q,q'}(gl_n^^) as double shuffle algebras. The former is the classical Feigin-Odesskii approach (as constructed by Enriquez for quantum affinizations) and the latter is a new approach that uses Faddeev-Reshetikhin-Takhtajan as motivation. The latter construction will shed some light on the representation theory of moduli spaces of instantons with parabolic defect along a surface.
Remarks: Blackboard talk