Abstract

The Crepant Resolution Conjecture is a conjecture in enumerative geometry originating from string theory. It relates the Donaldson-Thomas invariants of a certain type of three-dimensional Calabi-Yau orbifold to those of a particular crepant resolution of its coarse moduli space. In this talk, we will explain the statement of this conjecture, and use derived categories and Joyce's motivic Hall algebra to study it.