PIRSA:19010067

REPRESENTATIONS OF THE ELLIPTIC QUANTUM GROUP AND RELATED GEOMETRY

Konno, H. (2019). REPRESENTATIONS OF THE ELLIPTIC QUANTUM GROUP AND RELATED GEOMETRY. Perimeter Institute. https://pirsa.org/19010067

Konno, Hitoshi. REPRESENTATIONS OF THE ELLIPTIC QUANTUM GROUP AND RELATED GEOMETRY. Perimeter Institute, Jan. 14, 2019, https://pirsa.org/19010067 

          @misc{ pirsa_PIRSA:19010067,
            doi = {10.48660/19010067},
            url = {https://pirsa.org/19010067},
            author = {Konno, Hitoshi},
            keywords = {Mathematical physics},
            language = {en},
            title = {REPRESENTATIONS OF THE ELLIPTIC QUANTUM GROUP AND RELATED GEOMETRY},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {jan},
            note = {PIRSA:19010067 see, \url{https://pirsa.org}}
          }

Hitoshi Konno

Tokyo University of Marine Science and Technology

Talk number
PIRSA:19010067
Collection
Talk Type
Subject
Abstract

 

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.