Super Global Course Special Lectures by Prof. Christopher Hacon (Kyoto / University of Utah) will take place as follows:

Course Title

Super Global Course Special Lectures (Algebraic Geometry)

Date & Time

June 17, 1016 - July 1, 2016
Fri, June 17, 14:00-16:30
Wed, June 22, 10:00-12:00
Fri, June 24, 14:00-16:30
Wed, Jun2 29, 10:00-12:00
Fri, July 1, 14:00-16:30

Venue

127 Conference room, Faculty of Science Bldg. #3, Kyoto University

Title

Generic vanishing and the birational geometry of irregular varieties.

Abstract

In these lectures we will survey the generic vanishing results of Green, Lazarfeld, Hacon, Popa, Pareschi and others and discuss their applications to the study of the birational geometry of irregular varieties i.e. smooth projective varieties such that $H^0(¥Omega ^1_X)
¥ne 0$. In particular we will discuss results concerning the cohomological characterization of abelian varieties, the singularities of divisors on abelian varieties, the pluricanonical maps of irregular varieties and a recent result of Cao-Paun which proves the Iitaka conjecture for fiber spaces $f:X¥to Y$ where $Y$ is a variety of maximal Albanese dimension (eg. an abelian variety).

Language

English