Wing Keung To, National U. Singapore, Singapore

Singular potential functions on Hermitian symmetric manifolds and some applications

 

In this tak, I will discuss some joint works with J.-M. Hwang on the construction of certain potential functions with isolated singular points on Hermitian symmetric manifolds.  In particular, I will discuss some applications of such constructions such as bounding Seshardri constants and volume of complex analytic subvarieties of Hermitian symmetric manifolds as well as some recent result on level structures of abelian varieties over a complex function field.