A Hall algebra based on the projective line

Christian Kassel (CNRS-Université Louis Pasteur, Strasbourg)

Abstract: (Joint work with Pierre Baumann)
One can construct a Hall algebra out of the vector bundles over a projective curve on a finite field. I'll describe this algebra in the case when the curve is a projective line. This algebra is related to the quantum affine algebra associated to the Lie algebra sl(2). In my talk I'll insist on the combinatorial aspects of the subject.

Algebraic Combinatorics Seminar home