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University of Sydney Algebra Seminar

Yaping Yang

Friday 8 November, 12-1pm, Place: Carslaw 275

 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.