Kernels for categories of graded singularities

Tuesday, April 26, 2011 -
4:30pm to 6:30pm
Due to work of D. Orlov, there is a strong relationship between the derived category of coherent sheaves on a hypersurface in projective space and the category of singularities of the Z-graded affine cone over the hypersurface. For a pair of graded hypersurfaces, I will describe another category of graded singularities which is equivalent to the category of functors between the pair. Combining our construction with Orlov's result and a result of B. To├źn provides interesting relationships between the derived categories of some projective varieties. This is joint work with D. Favero and L. Katzarkov.
Matthew Ballard
University of Pennsylvania
Event Location: 
Fine Hall 322