SIMIS Seminar on Derived and Noncommutative Geometry: Derived symmetries for crepant resolutions of hypersurfaces

Speaker: Will Donovan (YMSC, Tsinghua University)

Abstract: Given a singularity with a crepant resolution, a symmetry of the derived category of coherent sheaves on the resolution may often be constructed using the formalism of spherical functors. I will introduce this, and new work (arXiv:2409.19555) on general constructions of such symmetries for hypersurface singularities. This builds on previous results with Segal, and is inspired by work of Bodzenta-Bondal.

Time: 16:00-19:00, Monday, November 25th, with a break for tea

Location: Room 1410, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai