**SMS scnews item created by James East at Mon 2 Nov 2009 1454**

Type: Seminar

Distribution: World

Expiry: 6 Nov 2009

**Calendar1: 6 Nov 2009 1205-1255**

**CalLoc1: Carslaw 375**

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Laumon resolutions and quiver varieties

### Michael Finkelberg

#### Friday November 6, 12:05--12:55pm, Carslaw 375

###### Abstract

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