Workshop on Heights and Applications to Unlikely Intersections

February 13 - 17, 2017, The Fields Institute

Location: Fields Institute, Room 230

Overview

Heights are a fundamental and ubiquitous tool in Diophantine geometry. This workshop will concentrate on applications broadly related to unlikely intersections, including topics such as isogeny estimates, height bounds for special points, connections with Colmez's conjecture, Lehmer problems, effective cases of the Andre-Oort and Zilber-Pink conjectures, and others.

Schedule

Monday, February 13th, 2017
09:30 to 10:20	Monic polynomials with squarefree discriminant Arul Shankar, University of Toronto
10:30 to 11:00	Coffee Break
11:00 to 11:50	Cycles in the de Rham cohomology of abelian varieties Yunqing Tang, Institute for Advanced Study
12:00 to 14:00	Lunch
14:00 to 14:50	Bounded height theorems in arithmetic dynamics Dragos Ghioca, University of British Columbia
15:00 to 15:30	Coffee Break
15:30 to 16:20	Proof of the Shafarevich conjecture for self maps of $\mathbb{P}^1$ Lucien Szpiro, City University of New York
16:30 to 17:20	No Title Specified David Masser, University of Basle, Switzerland
17:30 to 19:00	Reception

Tuesday, February 14th, 2017
09:00 to 09:50	Heights of pre-special points of Shimura varieties Christopher Daw, University of Reading
10:00 to 10:50	Heights in families of abelian varieties and the Geometric Bogomolov Conjecture Ziyang Gao, Centre national de la recherche scientifique (CNRS)
11:00 to 11:30	Coffee Break
11:30 to 12:20	Algebraic and holomorphic flows on Shimura varieties Emmanuel Ullmo, IHES
12:30 to 14:30	Lunch
14:30 to 15:20	An Ax-Schanuel Theorem for Shimura Varieties Jacob Tsimerman, University of Toronto
15:30 to 16:00	Coffee Break
16:00 to 16:50	Hecke orbits and the André-Pink conjecture Andrei Yafaev, University College London
17:00 to 17:50	Degeneration of Dynamical Degrees in Families of Dominant Maps $\mathbb{P}^N\dashrightarrow\mathbb{P}^N$ Joseph Silverman, Brown University

Wednesday, February 15th, 2017
09:00 to 09:50	A New Northcott Property for Faltings Height Lucia Mocz, Princeton University
10:00 to 10:50	L-function aspect of the Colmez conjecture Tonghai Yang, University of Wisconsin–Madison
11:00 to 11:30	Coffee Break
11:30 to 12:20	Cycles on the moduli of Shtukas and Taylor coefficients of L-functions Wei Zhang, Columbia University

Thursday, February 16th, 2017
09:00 to 09:50	The Bounded Height Conjecture for Semiabelian Varieties Lars Kühne, The Fields Institute
10:00 to 10:30	Coffee Break
10:30 to 11:20	Periods & Elliptic Billiard Gisbert Wüstholz, ETHZ + Univ. Zurich
11:30 to 14:00	Lunch
14:00 to 14:50	Variation of canonical height and equidistribution Laura DeMarco, Northwestern University
15:00 to 15:30	Coffee Break
15:30 to 16:20	Bounded Height Problems and Irrationality Francesco Amoroso, Université de Caen
16:30 to 17:20	Integral points on Hilbert modular varieties Rafael Von Känel, Princeton University

Friday, February 17th, 2017
09:00 to 09:50	On algebraically closed fields of characteristic 1 Boris Zilber, University of Oxford
10:00 to 10:30	Coffee Break
10:30 to 11:20	Simultaneous torsion in the Legendre family of elliptic curves. Michael Stoll, Universität Bayreuth
11:30 to 13:30	Lunch
13:30 to 14:20	Transcendence problems related to heights. Daniel Bertrand, Université P et M Curie
14:30 to 15:20	Pfaffian definitions of elliptic functions Harry Schmidt, University of Oxford
15:30 to 16:00	Coffee Break / Farewell

Registered Participants

Name	Affiliation
Shabnam Akhtari	University of Oregon
Francesco Amoroso	Université de Caen
Mohammad Bardestani	University of Munster
Fabrizio Barroero	University of Manchester
Daniel Bertrand	Université P et M Curie
Kirsti Biggs	University of Bristol
Laura Capuano	Scuola Normale Superiore
Derya Ciray	University of Konstanz
Christopher Daw	University of Reading
Laura DeMarco	Northwestern University
Bas Edixhoven	Universiteit Leiden
Bryan Eelhart	The Fields Institute
Khashayar Filom	Northwestern University
John Friedlander	University of Toronto
Stevan Gajovic	Mathematical Institute of the Serbian Academy of Sciences and Arts
Ziyang Gao	Centre national de la recherche scientifique (CNRS)
Natalia Garcia-Fritz	University of Toronto
Dragos Ghioca	University of British Columbia
Robert Grizzard	University of Wisconsin–Madison
Joseph Gunther	City University of New York
Philipp Habegger	University of Basel
Chris Hall	University of Wyoming
Brandon Hanson	The Pennsylvania State University
Florian Herzig	University of Toronto
Khodabakhsh Hessami Pilehrood	The Fields Institute
Tatiana Hessami Pilehrood	The Fields Institute
Su-ion Ih	University of Colorado Boulder
Patrick Ingram	York University
Kian Kayler	Toronto Metropolitan University
Lars Kühne	The Fields Institute
Chao Li
QIRUI LI	Department of Mathematics Columbia University
Yu-Ru Liu	University of Waterloo
Nicole Looper	Northwestern University
Florian Luca	Wits University
David Masser	University of Basle, Switzerland
Vlad Alexandru Matei	University of Wisconsin–Madison
Myrto Mavraki	University of British Columbia
Khadija Mbarki	Faculty of sciences of Monastir
Juan Manuel Menconi	Instituto de Investigaciones Matemáticas Luis A. Santaló (IMAS)-CONICET
Lucia Mocz	Princeton University
Amir Mohammad Mostaed	Amirkabir University of Technology
Anton Mosunov	University of Waterloo
Khoa Nguyen	University of British Columbia
Matt Olechnowicz	University of Toronto
Alina Ostafe	University of New South Wales
Abhishek Oswal	University of Toronto
Marcelo Paredes	Universidad de Buenos Aires
Simon Rydin Myerson	University College London
Damaris Schindler	Universiteit Utrecht
Stefan Schmid	University of Basel
Harry Schmidt	University of Oxford
Igor Shparlinski	University of New South Wales
Artane Siad	University of Toronto
Joseph Silverman	Brown University
Raphael Steiner	University of Bristol
Cameron Stewart	University of Waterloo
Michael Stoll	Universität Bayreuth
Lucien Szpiro	City University of New York
Yunqing Tang	Institute for Advanced Study
Margaret Thomas	The Fields Institute
Ling-Sang Tse	University of Toronto
Jacob Tsimerman	University of Toronto
Emmanuel Ullmo	IHES
Jeffrey Vaaler	University of Texas at Austin
Akshaa Vatwani	University of Waterloo
Jean-Louis Verger-Gaugry	Centre national de la recherche scientifique (CNRS) and Université Savoie Mont Blanc
Rafael Von Känel	Princeton University
Alex Wilkie	University of Oxford
Trevor Wooley	University of Bristol
Gisbert Wüstholz	ETHZ + Univ. Zurich
Jingwei Xiao	Columbia University
Stanley Xiao	University of Oxford
Andrei Yafaev	University College London
Tonghai Yang	University of Wisconsin–Madison
Hexi Ye	Zhejiang University
Asif Zaman	University of Toronto
Shou-Wu Zhang	Princeton University
Wei Zhang	Columbia University
Boris Zilber	University of Oxford
Ana Zumalacarregui	University of New South Wales
Sebastian ZUNIGA ALTERMAN	Universite Paris-Diderot Paris 7