THEMATIC PROGRAMS

THEMATIC PROGRAM ON ARITHMETIC GEOMETRY, HYPERBOLIC GEOMETRY AND RELATED TOPICS

October 20-24, 2008
Workshop on Arithmetic Geometry: Diophantine Approximation and Arakelov theory

Organizing Committee:		Mathematics
Caterina Consani (Johns Hopkins) Henri Gillet (Co-Chair) (UIC) Yuri Manin (Northwestern) Paul Vojta (Co-Chair) (UC Berkeley) Umberto Zannier (SNS Pisa)
	Supported partially by Grant-in-Aid for Scientific Research (S) 17104001, JSPS

OVERVIEW
The workshop will be centered around topics in arithmetic geometry, particularly topics that are linked to diophantine approximation and Arakelov theory:

• Arakelov theory, including p-adic and "infinity-adic"
• Generalized rings and schemes
• Arithmetic of higher dimensional algebraic varieties
• Arc spaces and related problems
• Arithmetic Riemann-Roch theorem and applications
• Polylogarithms, regulators, and Arakelov motivic complexe

Confirmed Speakers: (speaker abstracts)

Amnon Besser (Ben Gurion University) Enrico Bombieri (Institute for Advanced Study) Jean-Benoit Bost (CNRS)) José Ignacio Burgos (Barcelona) Antoine Chambert-Loir (IRMAR / UFR Mathématiques) Jean-Louis Colliot-Thélène (CNRS/Université Paris-Sud) Caterina Consani (Johns Hopkins) Pietro Corvaja (Udine) Jan-Hendrik Evertse (University of Leiden) Kálmán Gyõry (University of Debrecen) Eugene Ha (Johns Hopkins University)

Philipp Habegger (ETH Zurich) Noriko Hirata-Kohno (Nihon University) Klaus Künnemann (Universität Regensburg) Minhyong Kim (University College London) Aaron Levin (Scuola Normale Superiore) Gaël Rémond (Institut Fourier) Christophe Soulé (IHES) Lucien Szpiro (CUNY) Gisbert Wüstholz (ETH-Zurich) Yu Yasufuku (CUNY)) Shouwu Zhang (Columbia)

Workshop Schedule

Monday October 20, 2008
9:00-9:30 am	Welcome and Introduction Paul Vojta and Juris Steprans
9:30-10:30 am	Christophe Soulé Linear projections and successive minima
10:30-11:00 am	Coffee Break
11:00-12:00 pm	Jean-Benoit Bost Lefschetz theorems on arithmetic schemes
12:00-1:30 pm	Lunch Break
1:30-2:30 pm	Antoine Chambert-Loir Rationality of formal functions on arithmetic surfaces
2:30-3:30 pm	Shouwu Zhang Gross-Schoen cycles, dualising sheaves, and tautological classes
3:30-4:00 pm	Coffee Break
4:00-5:00 pm	Minhyong Kim Selmer varieties
5:00-6:30 pm	Reception- cash bar Fields Institute
Tuesday October 21, 2008
9:00-10:00 am	Lucien Szpiro Algebraic Dynamics
10:00-11:00 am	Enrico Bombieri Roots of polynomial in subgroups of F*p and applications to congruences
11:00-11:30 am	Coffee Break
11:30-12:30 pm	Aaron Levin Runge’s method and the effective computation of integral points
12:30-2:00 pm	Lunch Break
2:00-3:00 pm	Gaël Rémond Heights of Jacobians and rational points
3:00-3:30 pm	Coffee Break
3:30-4:30 pm	Panel Discussion
Wednesday October 22, 2008
10:00-11:00 am	Pietro Corvaja Integral points, divisibility between values of polynomials and entire curves on surfaces
11:00-11:30 am	Coffee Break
11:30-12:30 pm	Yu Yasufuku On Vojta’s Conjecture
12:30-2:00 pm	Lunch Break
2:00-3:00 pm	Noriko Hirata-Kohno Unit equations having few solutions
3:00-3:30 pm	Coffee Break
3:30-4:30 pm	Kálmán Gyõry S-unit equations in number fields: effective results, generalizations, applications, abc conjecture
Thursday October 23, 2008
9:00-10:00 am	Caterina Consani On the notion of geometry over F1
10:00-11:00 am	Eugene Ha On vector bundles and the adele-class space
11:00-11:30 am	Coffee Break
11:30-12:30 pm	Klaus Künnemann Line bundles with connections on projective varieties over function fields and number fields
12:30-2:00 pm	Lunch Break
2:00-3:00 pm	José Ignacio Burgos The height of toric subvarieties
3:00-3:30 pm	Coffee Break
3:30-4:30 pm	Amnon Besser On the p-adic analogue of hermitian line bundles
Friday October 24, 2008
9:00-10:00 am	Jean-Louis Colliot-Thélène Integral Brauer-Manin obstruction for homogeneous spaces
10:00-11:00 am	Jan-Hendrik Evertse On the Quantitative Subspace Theorem
11:00-11:30 am	Coffee Break
11:30-12:30 pm	Philipp Habegger Height Upper Bounds on Abelian Varieties and Algebraic Tori

 

Confirmed Participants

Updated October 31, 2008

Fullname	University/Affiliation
Akhtari, Shabnam	University of British Columbia
An, Ta Thi Hoai	Institute of Mathematics
Andrews, Rob	(no affiliation)
Berczes, Attila	University of Debrecen
Bertrand, Florian	University of Provence
Besser, Amnon	Ben-Gurion University of the Negev
Bland, John	University of Toronto
Bombieri, Enrico	Institute for Advanced Study
Bost, Jean-Benoit	Université Paris-Sud 11
Burgos, José Ignacio	Universidad de Barcelona
Chambert-Loir, Antoine	IRMAR / UFR Mathématiques
Chung, Min In
Colliot-Thélène, Jean-Louis	CNRS/Université Paris-Sud
Consani, Caterina	Johns Hopkins University
Corvaja, Pietro	University of Udine
Curilla, Christian	Universität Hamburg
Dalla Torre, Gabriele	Scuola Normale Superiore
Delsinne, Emmanuel	University of Ottawa
Desrochers-Guérin, Félix	UQAM
Dethloff, Gerd	Université de Brest
Dulock, Matthew	University of Houston
Evertse, Jan-Hendrik	University of Leiden
Faber, Xander	McGill University
Gasbarri, Carlo	Universita' di Roma "Tor Vergata"
Gillet, Henri	University of Illinois at Chicago
Gotsbacher, Gerald	University of Toronto
Graham, Ian	University of Toronto
Gubler, Walter	Humboldt Universität zu Berlin
Gyory, Kalman	University of Debrecen
Ha, Eugene	Johns Hopkins University
Habegger, Philipp	ETH Zurich
Hirata-Kohno, Noriko	Nihon University
Hoermann, Fritz	Humboldt Universitaet zu Berlin
Holmstrom, Andreas	University of Cambridge
Hsia, Liang-Chung	National Central University
Hsu, Ho-ling	National Tsing-hua University
Ih, Su-ion	University of Colorado
Ingram, Patrick	University of Waterloo
Jones, Nathan	CRM, Universite de Montreal
Kamensky, Moshe	University of Waterloo
Kawaguchi, Shu	Osaka University
Kim, Kang-Tae	Pohang University of Science and Technology
Kim, Minhyong	University College London
Kramer, Jürg	Humboldt-Universität zu Berlin
Künnemann, Klaus	Universität Regensburg
Levin, Aaron	Scuola Normale Superiore
Li, Chao	University of Toronto
Lu, Hung	Hawaii Pacific University
Lu, Steven	Université du Québec à Montréal
Mahanta, Snigdhayan	IHES
Mayer, Hartwig	Humboldt University
McQuillan, Michael	Institut des Hautes Etudes Scientifiques
Noguchi, Junjiro	University of Tokyo
Petersen, Kathleen	Queen's University
Posingies, Anna	Universität Hamburg
Rémond, Gaël	Univ. Grenoble I
Rojas, J. Maurice	Texas A&M University
Rousseau, Erwan	Université Louis Pasteur
Ru, Min	University of Houston
Shahabi, Shahab	McGill University
Shelestunova, Veronika	University of Waterloo
Siu, Yum-Tong	Harvard University
Soulé, Christophe	IHES
Stewart, Cameron	University of Waterloo
Szpiro, Lucien	The CUNY Graduate Center
Takloo-Bighash, Ramin	University of Illinois at Chicago
Tschinkel, Yuri	Courant Institute of Mathematical Sciences
van Frankenhuijsen, Machiel	Utah Valley University
Veneziano, Francesco	Scuola Normale Superiore
Vojta, Paul	University of California, Berkeley
von Pippich, Anna-Maria	Humboldt University
Wong, Bun	University of California, Riverside
Wong, Pit-Mann	University of Notre Dame
Yan, Qiming	Fudan University
Yao, Weihong	Shanghai Jiaotong University
Yasufuku, Yu	City University of New York
Yazdani, Soroosh	McMaster University
Zannier, Umberto	Scuola Normale Superiore di Pisa
Zhan, Cheng	University of Houston
Zhang, Shou-Wu	Columbia University
Zong, Ying	University of Toronto

 

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