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THEMATIC PROGRAMS |
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Thematic Program on Arithmetic
Geometry, Hyperbolic Geometry and Related Topics
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| Organizing Committee: |
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 Supported partially by Grant-in-Aid for Scientific Research (S) 17104001, JSPS |
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Mailing List : To receive updates on the program please subscribe to our mailing list at www.fields.utoronto.ca/maillist
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)
Workshop Schedule
| Monday November 17, 2008 | |
| 9:00- 10:00 am | Registration |
| 10:00- 10:10 am | Welcome and Introduction Bernard Shiffman and Barbara Keyfitz |
| 10:10- 11:10 am | Junjiro Noguchi (Tokyo) Some Second Main Theorems and applications |
| 11:10- 11:20 am | Q&A |
| 11:20- 12:20 pm | Julien Duval (Université Paris-Sud) On Nevanlinna second main theorem |
| 12:20- 2:00 pm | Lunch Break |
| 2:00- 3:00 pm | Atsushi Atsuji (Keio University) Diffusions and Nevanlinna theory |
| 3:00- 3:30 pm | Coffee Break |
| 3:30- 4:30 pm | Gerd Dethloff (Université de Brest) A Second Main Theorem for Moving Hypersurface Targets |
| 4:30- 4:40 pm | Q&A |
| 4:40- 5:40 pm | Yum-Tong Siu (Harvard University) Hyperbolicity of generic hypersurfaces of high degree |
| Tuesday November 18, 2008 | |
| 9:00- 10:00 am | Steve Zelditch (Johns Hopkins) How probable is a given configuration of zeros? |
| 10:00- 10:10 am | Q&A |
| 10:10- 11:10 am | Tom Bloom (Toronto) Large Deviations for VanDerMonde determinants |
| 11:10- 11:40 am | Coffee Break |
| 11:40- 12:40 pm | Robert Berman (Université Grenoble I) From volumes of line bundles to equidistribution |
| 12:40- 2:00 pm | Lunch Break |
| 2:00- 3:00 pm | Nessim Sibony (Universite Paris-Sud) Super-Potentials on Compact Kahler Manifolds and dynamics of Automorphisms |
| 3:00- 3:30 pm | Coffee Break |
| 3:30- 4:30 pm | Vincent Guedj (Université Aix-Marseille) Monge-Ampere equations in big cohomology classes |
| 4:30- 6:00 pm | Reception- cash bar Fields Institute |
| Wednesday November 19, 2008 | |
| 9:00- 10:00 am | Yuri Tschinkel (Courant Institute of Mathematical
Sciences) A Torelli theorem over finite fields |
| 10:00- 10:10 am | Q&A |
| 10:10- 11:10 am | William Cherry (University of North Texas) Algebraic degeneracy of non-Archimedean analytic maps omitting divisors with sufficiently many components |
| 11:10- 11:40 am | Coffee Break |
| 11:40- 12:40 pm | Julie Wang (Academia Sinica) An effective Schmidt's subspace theorem for projective varieties over function fields |
| 12:40- 2:00 pm | Lunch Break |
| 2:00- 3:00 pm | Jorg Winkelman (Fakultät Mathematik) Entire curves in surfaces with large irregularity |
| 3:00- 3:30 pm | Coffee Break |
| 3:30- 4:30 pm | Yoshihiro Aihara (Numazu College of Technology) Deficencies of holomorphic curves for hypersurfaces and linear systems |
| 4:30- 4:40 pm | Q&A |
| 4:40- 5:40 pm | Panel Discussion Paul Vojta will lead a discussion on Future Trends and Outstanding Problems in Complex Hyperbolic Geometry and Diophantine Approximation over Function Fields |
| Thursday November 20, 2008 | |
| 9:00- 10:00 am | Ngaiming Mok (Hong Kong) Holomorphic isometries with respect to the Bergman metric |
| 10:00- 10:10 am | Q&A |
| 10:10- 11:10 am | Shanyu Ji (Houston) Application of the Moving Frame Theory to Holomorphic Mappings between Balls |
| 11:10- 11:40 am | Coffee Break |
| 11:40- 12:40 pm | Yu Kawakami (Kyushu University) Value distribution of the hyperbolic Gauss map |
| 12:40- 2:00 pm | Lunch Break |
| 2:00- 3:00 pm | Frederic Campana (University Nancy
1) Special Orbifolds and Birational Classification: Hyperbolic and Arithmetic Aspects |
| 3:00- 3:30 pm | Coffee Break |
| 3:30- 4:30 pm | Hajime Tsuji (Sophia University) Global generation of the direct images of pluricanonical systems |
| 4:30- 4:40 pm | Q&A |
| 4:40- 5:40 pm | Michael McQuillan (Institut des Hautes Etudes
Scientifiques) tba |
| Friday November 21, 2008 | |
| 9:00- 10:00 am | Steven Lu (Université du Québec
à Montréal) Algebraic hyperbolicity for varieties with maximal albanese dimension |
| 10:00- 10:10 am | Q&A |
| 10:10- 11:10 am | Masaki Tsukamoto (Kyoto University) Deformation of Brody curves and mean dimension |
| 11:10- 11:30 am | Coffee Break |
| 11:30- 12:30 pm | Alexandre Eremenko (Purdue University) Landau’s theorem for holomorphic curves in projective space |
Confirmed Participants
| Updated December 1, 2008 |
| Fullname | University/Affiliation |
| Aihara, Yoshihiro | Numazu College of Technology |
| Akhtari, Shabnam | Queen's University |
| An, Ta Thi Hoai | Institute of Mathematics |
| Andrews, Rob | (no affiliation) |
| Aryasomayjula, N.V.Anilatmaja | Humboldt-Universität |
| Atsuji, Atsushi | Keio University |
| Berman, Robert | Universite Grenoble I |
| Bertrand, Florian | University of Provence |
| Bland, John | University of Toronto |
| Bloom, Thomas | University of Toronto |
| Campana, Frederic | University Nancy 1 |
| Chen, Xi | University of Alberta |
| Cherry, William | University of North Texas |
| Chiang, Edmund Yik-Man | Hong Kong University of Science and Technology |
| Corvaja, Pietro | University of Udine |
| Cotterill, Ethan | Max-Planck Institut fur Mathematik |
| De Oliveira, Bruno | University of Miami |
| Desrochers-Guérin, Félix | UQAM |
| Dethloff, Gerd | Université de Brest |
| Diverio, Simone | SAPIENZA Università di Roma |
| Dulock, Matthew | University of Houston |
| Duval, Julien | Universite Paris-Sud |
| Eremenko, Alexandre | Purdue University |
| Foth, Tatyana | University of Western Ontario |
| Gasbarri, Carlo | Universita' di Roma "Tor Vergata" |
| Gillet, Henri | University of Illinois at Chicago |
| Graham, Ian | University of Toronto |
| Guedj, Vincent | Universite Paul Sabatier |
| Han, Qi | University of Houston |
| Hinkkanen, Aimo | University of Illinois at Urbana-Champaign |
| Hsu, Ho-ling | National Tsing-hua University |
| Ih, Su-ion | University of Colorado |
| Ingram, Patrick | University of Waterloo |
| Jasiczak, Michal | Adam Mickiewicz Unive |
| Jones, Nathan | CRM, Universite de Montreal |
| Jurvanen, Henna | University of Joensuu |
| Kawakami, Yu | Kyushu University |
| Kim, Dano | University of Chicago |
| Kodama, Akio | Kanazawa University |
| Korhonen, Risto | University of Helsinki |
| Laine, Ilpo | University of Joensuu |
| Li, Chao | University of Toronto |
| Licanic, Sergio | Universidade Federal Fluminense |
| Low, Erik | University of Oslo |
| Lu, Steven | Université du Québec à Montréal |
| Matsushima, Toshio | Ishikawa National College of Technology |
| McQuillan, Michael | Institut des Hautes Etudes Scientifiques |
| Merker, Joel | Ecole Normale Superieure |
| Mok, Ngaiming | University of Hong Kong |
| Ng, Tuen Wai | The University of Hong Kong |
| Noguchi, Junjiro | University of Tokyo |
| Nyström, David Witt | Matematiska vetenskaper |
| Orser, Brenda | B.I.O. Letha Information Systems Inc. |
| Petersen, Kathleen | Queen's University |
| Posingies, Anna | Universität Hamburg |
| Rousseau, Erwan | Université Louis Pasteur |
| Ru, Min | University of Houston |
| Shahabi, Shahab | McGill University |
| Shiffman, Bernard | Johns Hopkins University |
| Sibony, Nessim | Universite Paris-Sud |
| Siu, Yum-Tong | Harvard University |
| To, Wing-Keung | National University of Singapore |
| Tschinkel, Yuri | Courant Institute of Mathematical Sciences |
| Tsuji, Hajime | Sophia University |
| Tsukamoto, Masaki | Kyoto University |
| Tu, Zhenhan | Wuhan University |
| Vojta, Paul | University of California, Berkeley |
| Wang, Julie Tzu-Yueh | Academia Sinica |
| Winkelmann, Jörg | Universitat Bayreuth |
| Wong, Bun | University of California, Riverside |
| Wong, Pit-Mann | University of Notre Dame |
| Yan, Qiming | Fudan University |
| Yao, Weihong | Shanghai Jiaotong University |
| Ye, Zhuan | Northern Illinois University |
| Yeung, Sai-Kee | Purdue University |
| Yu, Jing | National Tsing Hua University |
| Zelditch, Steve | Johns Hopkins University |
| Zhan, Cheng | University of Houston |
| Zong, Ying | University of Toronto |
Apply to the Program:
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding are
requested to apply by filling out the application
form. Additional support is available (pending NSF funding)
to support junior US visitors to this program. Fields scientific
programs are devoted to research in the mathematical sciences, and
enhanced graduate and post-doctoral training opportunities. Part
of the mandate of the Institute is to broaden and enlarge the community,
and to encourage the participation of women and members of visible
minority groups in our scientific programs.
For additional information contact thematic(PUT_AT_SIGN_HERE)fields.utoronto.ca