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.
Quot schemes and affine flag varieties
15.06.2021 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location:
Meeting ID: 431 655 310, Passcode: 0cnL5d