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.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/12211
[4] https://www.mpim-bonn.mpg.de/de/node/12216/program?page=last
[5] https://www.mpim-bonn.mpg.de/de/node/12216/abstracts