Kolloquium
Dienstag, 27.10.2009, 17.15 Uhr, Kleiner Physik-HĂ¶rsaal F 342
A combinatorial construction of the fusion algebra and quantum
cohomology
Prof. Dr. Catharina Stroppel (UniversitĂ¤t 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.