Algebra Seminar: Yang -- Higher spin representations of the Yangian of sl_2 and R-matrices

Yaping Yang (University of Melbourne) will be speaking in the algebra seminar this
week.  We will go out for lunch after the talk---all are welcome to join! 

When: 12-1pm Friday November 8 

Where: Carslaw 275 

Title: Higher spin representations of the Yangian of sl_2 and R-matrices 

Abstract: 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.