Title: The Complex Elliptic Genera of Simple Surface Singularities

Abstract: The complex elliptic genus is an invariant which is shared by geometry and conformal field theory. In favourable situations, it allows to count BPS states in conformal quantum field theories with extended supersymmetry. In this talk, we will focus on the complex elliptic genus and its refinements on K3 surfaces and on the non-compact singular spaces that model the singularities which can occur on such K3 surfaces. The results presented here have mostly been obtained in collaboration with Yuhang Hou.

Talk – Video

Talk – Slides