Leibniz Universität Hannover

Dienstag, 27.10.2009, 17.15 Uhr, Kleiner Physik-Hörsaal F 342

A combinatorial construction of the fusion algebra and quantum cohomology

Prof. Dr. Catharina Stroppel (Universität Bonn)

In this talk I want to give an elementary description of the so-called fusion algebra of modules for the affine sl(n) at level k via non-commutative Schur polynomials. It will be realized explicitly as a quotient of the quantum cohomology ring of a Grassmannian. I want to explain the underlying representation theory and finally compare fusion to quantum cohomology via some sort of "Boson-Fermion-correspondence". The main goal of the talk is to get an explicit description of the rings mentioned above.