Department of Mathematics - Algebra and Geometry Seminar - Higher spin representations of the Yangian of sl_2 and R-matrices

For the Yangian of sl_2, higher spin representations are tensor products of the evaluation pullback of the $\ell_i+1$-dimensional irreducible representations of sl_2, where $\ell_i$ are the highest weights. In my talk, I will give a geometric realization of the higher spin representations in terms of the critical cohomology of representations of the quiver with potential of Bykov and Zinn-Justin.  I will also talk about the construction of R-matrices via the lattice model and the weight functions.
 

This is based on my joint work with Paul Zinn-Justin.