Workshop on Complex Hyperbolic Geometry and Related Topics
Description
The workshop will be centered around the topics in hyperbolic geometry, particularly topics that are linked to diophantine approximations:
- Problems related to complex hyperbolicity,
- Jets, multiplier ideal sheaves and applications,
- Diophantine approximations over function fields,
- Correspondence between hyperbolic geometry and diophantine approximation,
- Nevanlinna theory and distributions of zeros.
Invited Speakers (speaker abstracts)
Yoshihiro Aihara (Numazu College of Technology)
Atsushi Atsuji (Keio University)
Robert Berman (Universite Grenoble I)
Tom Bloom (Toronto)
Frederic Campana (University Nancy 1)
William Cherry (University of North Texas)
Gerd Dethloff (Université de Brest)
Julien Duval (Universite Paris-Sud)
Alexandre Eremenko (Purdue University)
Vincent Guedj (Aix-Marseille University)
Shanyu Ji (Houston)
Yu Kawakami (Kyushu University)
Ryoichi Kobayashi (Nagoya University)Steven Lu (Université du Québec à Montréal)
Michael McQuillen (Institut des Hautes Etudes Scientifiques)
Ngaiming Mok (Hong Kong)
Junjiro Noguchi (Tokyo)
Duong H. Phong (Columbia University)
Nessim Sibony (Universite Paris-Sud)
Yum-Tong Siu (Harvard University)
Yuri Tschinkel (Courant Institute of Mathematical Sciences)
Hajime Tsuji (Sophia University)
Masaki Tsukamoto (Kyoto University)
Julie Wang (Academia Sinica)
Jorg Winkelman (Fakultät Mathematik)
Steve Zelditch (Johns Hopkins)
Schedule
| 09:00 to 10:00 |
Registration
|
| 10:00 to 10:10 |
Welcome and Introductions
Bernard Shiffman, Johns Hopkins University |
| 10:10 to 11:10 |
Some Second Main Theorems and applications
Junjiro Noguchi, The University of Tokyo |
| 11:10 to 11:20 |
Q&A
|
| 11:20 to 12:20 |
On Nevanlinna second main theorem
Julien Duval |
| 12:20 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Diffusions and Nevanlinna theory
Atsushi Atsuji (Keio University) |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
A Second Main Theorem for Moving Hypersurface Targets
Gerd Dethloff |
| 16:30 to 16:40 |
Q&A
|
| 16:40 to 17:40 |
Hyperbolicity of generic hypersurfaces of high degree
Yum-Tong Siu, Harvard University |
| 09:00 to 10:00 |
How probable is a given configuration of zeros?
Steven Zelditch |
| 10:00 to 10:10 |
Q&A
|
| 10:10 to 11:10 |
Large Deviations for VanDerMonde determinants
Tom Bloom, University of Toronto |
| 11:10 to 11:40 |
Coffee Break
|
| 11:40 to 12:40 |
From volumes of line bundles to equidistribution
Robert Berman, Chalmers University of Technology |
| 12:40 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Super-Potentials on Compact Kahler Manifolds and dynamics of Automorphisms
Nessim Sibony, Universite Paris-Sud, Orsay and Université Paris-Sud |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Monge-Ampere equations in big cohomology classes
Vincent Guedj, University of Toulouse |
| 16:30 to 18:00 |
Reception and Cash Bar
|
| 09:00 to 10:00 |
A Torelli theorem over finite fields
Yuri Tschinkel, New York University |
| 10:00 to 10:10 |
Q&A
|
| 10:10 to 11:10 |
Algebraic degeneracy of non-Archimedean analytic maps omitting divisors with sufficiently many components
William Cherry, University of North Texas |
| 11:10 to 11:40 |
Coffee Break
|
| 11:40 to 12:40 |
An effective Schmidt's subspace theorem for projective varieties over function fields
Julie Wang, Academia Sinica |
| 12:40 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Entire curves in surfaces with large irregularity
Jorg Winkelmann, Ruhr University Bochum |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Deficencies of holomorphic curves for hypersurfaces and linear systems
Yoshihiro Aihara |
| 16:30 to 16:40 |
Q&A
|
| 16:40 to 17:40 |
Paul Vojta, University of California Berkeley |
| 09:00 to 10:00 |
Holomorphic isometries with respect to the Bergman metric
Ngaiming Mok, Hong Kong University |
| 10:00 to 10:10 |
Q&A
|
| 10:10 to 11:10 |
Application of the Moving Frame Theory to Holomorphic Mappings between Balls
Shanyu Ji, University of Houston |
| 11:10 to 11:40 |
Coffee Break
|
| 11:40 to 12:40 |
Value distribution of the hyperbolic Gauss map
Yu Kawakami |
| 12:40 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Special Orbifolds and Birational Classification: Hyperbolic and Arithmetic Aspects
Frederic Campana, Université de Lorraine |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Global generation of the direct images of pluricanonical systems
Hajime Tsuji, Université Nice Sophia Antipolis |
| 16:30 to 16:40 |
Q&A
|
| 16:40 to 17:40 |
No Title Specified
Michael McQuillan (Institut des Hautes Etudes Scientifiques) |
| 09:00 to 10:00 |
Algebraic hyperbolicity for varieties with maximal albanese dimension
Steven Lu, Universite du Quebec a Montreal (UQAM) |
| 10:00 to 10:10 |
Q&A
|
| 10:10 to 11:10 |
Deformation of Brody curves and mean dimension
Masaki Tsukamoto |
| 11:10 to 11:30 |
Coffee Break
|
| 11:30 to 12:30 |
Landau’s theorem for holomorphic curves in projective space
Alexandre Eremenko, Purdue University |
