REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

Timothy Logvinenko

ABSTRACT: Derived Reid's recipe is a correspondence where we use a certain derived category equivalence to assign to every irreducible representation of a finite subgroup of SL_3(C) a subvariety of the exceptional set of the crepant resolution G-Hilb C^3 of the quotient singularity C^3/G. This generalises the classical McKay correspondence for subgroups of SL_2(C) which assigns to each representation an irreducible exceptional divisor. I discuss recent work with Alastair Craw and Sabin Cautis in which we compute derived Reid's recipe for all abelian subgroups of SL3(C).