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- REPRESENTATIONS OF THE ELLIPTIC QUANTUM GROUP AND RELATED GEOMETRY

The elliptic quantum (toroidal) group U_{q,p}(g) is an elliptic and dynamical analogue of the Drinfeld realization

of the affine quantum (toroidal) group U_q(g). I will discuss an interesting connection of its representations with

a geometry such as an identification of the elliptic weight functions derived by using the vertex operators with

the elliptic stable envelopes in [Aganagic- Okounkov ’16] and correspondence between the Gelfand-Tsetlin bases

of a finite dimensional representation of U_{q,p} with the fixed point classes in the equivariant elliptic cohomology.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Monday, January 14, 2019 - 14:00 to 15:30

Location:

Sky Room

Room #:

394

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