Tuesday, December 20, 14:00, 7.527
Bea Schumann (Köln), Computation of B(∞) via quiver representations.

Abstract:
There are two ways to compute B(∞), the crystal of the lower half of the quantum group in terms of quiver representation. One approach is geometrically via the quiver variety of Lusztig and the other one in terms of the Hall algebra. We have two algorithms, one by Reineke which works for all classical types except $E_8$ and the other one by Savage for type $A$. We explain these two constructions and show that in the simply laced case these two coincide which also yields an extension of the algorithm by Savage.