The Picard Group of the Moduli Space of Curves with Level Structures
Andrew Putman (MIT)

The Picard group of an algebraic variety $X$ is the set of complex line bundles over $X$. In this talk, we will describe the Picard groups of certain finite covers of the moduli space of curves. The methods we use combine ideas from algebraic geometry, finite group theory, and algebraic/geometric topology.