| 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 |
