MS Seminar (Mathematics - String Theory)

Speaker: Vassili Gorbounov (U of Aberdeen)
Title: 6 vertex quantum integrable system and cohomology of Grassmanian
Date: Wed, Feb 10, 2016, 13:15 - 14:45
Place: Seminar Room B
Abstract: We prove that the Yang Baxter algebra of the so called six vertex model from statistical physics acts naturally on the equivariant cohomology of the Grassmanians very much in the same way as the Yangian acts on the equivariant cohomology of the cotangent spaces to the Grassmanians in the work of Maulik and Okounkov. In particular, the R matrix of our Yang Baxter algebra is the transition matrix between different choices of the equivariant Schubert basis in cohomology. Also our Yang Baxter algebra is realized as a subalgebra in the geometric convolution algebra. We believe a similar structure exists for a larger class of homogeneous spaces.