Wing-Keung To, National University of Singapore

Volume of analytic subvarieties: some estimates and applications

Abstract

In this talk, I will discuss some joint works with J.-M. Hwang on bounding from below the volume of complex analytic subvarieties in certain Hermitian locally symmetric manifolds of non-compact type, as well as some applications related to Seshadri numbers, gonality of Riemann surfaces, and syzygies of pluricanonical systems. Some recent work in progress will also be discussed.