Speaker: Timothy Logvinenko (Warwick)

Title: The McKay correspondence: from geometrical to derived and back again

Abstract: In this talk I introduce the classical geometrical McKay correspondence for the finite groups of SL_2(C), explain the K-theoretic construction of it by Gonzales-Sprinberg and Verdier and how that leads to the derived McKay equivalence of Bridgeland, King and Reid. I then show how the two-dimensional geometrical McKay correspondence can be recovered from this derived equivalence and how this generalises to the dimension three.