(COW seminar) Reid's recipe and derived categories

Thu, 15/10/2009
14:00
Timothy Logvinenko (Liverpool) Algebraic and Symplectic Geometry Seminar Add to calendar DH 3rd floor SR
We give a three dimensional generalization of the classical McKay correspondence construction by Gonzales-Sprinberg and Verdier. This boils down to computing for the Bridgeland-King-Reid derived category equivalence the images of twists of the point sheaf at the origin of C^3 by irreducible representations of G. For abelian G the answer turns out to be closely linked to a piece of toric combinatorics known as Reid's recipe.