PIRSA:15100122

Representations of truncated shifted Yangians and symplectic duality

Kamnitzer, J. (2015). Representations of truncated shifted Yangians and symplectic duality. Perimeter Institute. https://pirsa.org/15100122

Kamnitzer, Joel. Representations of truncated shifted Yangians and symplectic duality. Perimeter Institute, Oct. 29, 2015, https://pirsa.org/15100122 

          @misc{ pirsa_PIRSA:15100122,
            doi = {10.48660/15100122},
            url = {https://pirsa.org/15100122},
            author = {Kamnitzer, Joel},
            keywords = {Mathematical physics},
            language = {en},
            title = {Representations of truncated shifted Yangians and symplectic duality},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100122 see, \url{https://pirsa.org}}
          }

Joel Kamnitzer

University of Toronto

Talk number
PIRSA:15100122
Collection
Talk Type
Subject
Abstract

We study the representation theory of truncated shifted Yangians. These algebras arise as quantizations of slices to Schubert varieties in the affine Grassmannian. We will describe the combinatorics of their highest weights, which is encoded in Nakajima's monomial crystal. We also prove Hikita's conjecture in this context.