Topic of the mini-school
In the past few years, people working on the analytic side of algebraic geometry have obtained two important new results: the existence of canonical singular hermitian metrics on pushforwards of relative pluricanonical bundles (Berndtsson, Păun, Takayama, and others); and a version of the Ohsawa-Takegoshi extension theorem with sharp estimates (Błocki, Guan-Zhou). One nice application is the proof of Iitaka's conjecture – which relates the Kodaira dimension of an algebraic fiber space to that of the base and the fiber – over abelian varieties and over surfaces.
Aimed at graduate students and postdocs in geometry, the mini-school will present an introduction to this circle of ideas. No previous exposure to the topics will be presupposed.
Registration and poster
Please click here to register (deadline April 10). A copy of the poster can be downloaded here.
Schedule
The first three lectures will take place at Math Tower, room S-240 (in the basement).
| 10.00-11.15 | Introduction to singular Hermitian metrics | Dror Varolin (Stony Brook) |
| 11.15-11.45 | Coffee break | |
| 11.45-1.00 | Properties of direct images of pluricanonical sheaves
| Christian Schnell (Stony Brook) |
| 1.00-2.30 | Lunch | |
| 2.30-3.30 | Singular metrics and direct images
| Mihai Paun (U Illinois, Chicago) |
| 3.30-4.30 | Coffee break/AGNES welcome reception | |
| 4.30-6.00 | Singular Hermitian metrics and positivity of direct images of pluricanonical bundles This is also the first talk of AGNES, and will take place in SCGP Auditorium | Mihai Paun (U Illinois, Chicago) |