Michael Finkelberg (Independent Moscow University)
Friday 6th November, 12.05-12.55pm, Carslaw 375
Laumon resolutions and quiver varieties
Laumon moduli spaces parametrize certain parabolic torsion free sheaves on the projective plane. They are semismall resolutions of Drinfeld compactifications of the mapping spaces from P^1 to certain flag varieties. They are important objects of geometric representation theory, playing a prominent role in the computation of quantum cohomology of flag varieties, in the construction of the affine Gelfand-Tsetlin base, etc. We advocate a new viewpoint on them from the perspective of quiver varieties, allowing to prove the normality of Drinfeld compactifications, and to construct many more resolutions connected by sequences of flops.