Christian Schnell : Pushforwards of pluricanonical bundles and morphisms to abelian varieties

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Nov. 30, 2016, 3 p.m.

In

SEO 1227

Abstract

In the past few years, people working on the analytic side of algebraic geometry have obtained two important new results: a version of the Ohsawa-Takegoshi extension theorem with sharp estimates (Blocki, Guan-Zhou), and the existence of canonical singular hermitian metrics on pushforwards of relative pluricanonical bundles (Berndtsson, Paun, Takayama, and others). In this talk, I will explore some consequences of this work for the study of morphisms to complex abelian varieties, including the recent proof of Iitaka's conjecture over abelian varieties (Cao-Paun). The talk will be understandable without any background in analysis.