Derived symmetries for crepant resolutions of hypersurfaces

Contact: Nicolas Addington

Given a singularity with a crepant resolution, a symmetry of the derived category of coherent sheaves on the resolution may often be constructed, with applications to homological mirror symmetry and enumerative geometry.
I discuss work in progress on general constructions of such symmetries for hypersurface singularities, in particular when the resolution is the blowup in a smooth locus. This builds on previous results with Segal, and is inspired by work of Bodzenta-Bondal.