Speaker
Yaping Yang
(University of Melbourne)
Description
For the Yangian of $\mathfrak{sl}_2$, higher spin representations are tensor products of the evaluation pullback of the $\ell_i+1$-dimensional irreducible representations of $\mathfrak{sl}_2$, 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.
