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.
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After the seminar we will take the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East jamese@maths.usyd.edu.au