## 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