Representation Theory and Automorphic Forms, University of Vienna

Oscar Kivinen (U Toronto)

Quot schemes and affine flag varieties

Organizer's time: 2021-06-15 13:15 Europe/Vienna

Duration: 1 hour 30 minutes

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Many interesting moduli spaces of sheaves on germs of plane curve singularities can be realized as subvarieties of partial affine flag varieties. This yields actions of DAHA-like algebras on the BM homologies of these moduli spaces, via a version of affine Springer theory for Coulomb branches. A similar construction also yields coherent-constructible correspondences between the moduli spaces in question and (quasi-)coherent sheaves on partial resolutions of the Coulomb branch. I will describe these constructions and illustrate them with examples coming from Hilbert and Quot schemes. This is based on joint works with Garner and Gorsky-Oblomkov.

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Submitted by: Anton Mellit