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Schedule, Notes/Handouts & Videos

Introductory Workshop: Diophantine Geometry February 06, 2023 - February 10, 2023

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Feb 06, 2023
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Moduli Spaces for Dynamical Systems on Projective Space
Joseph Silverman (Brown University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  A Finite Index Conjecture for Iterated Galois Groups
Thomas Tucker (University of Rochester)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Heights of Rational Points on Stacks
Jordan Ellenberg (University of Wisconsin-Madison)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  On the Toric Locus of L-Adic Local Systems (Joint work with J. Stix)
Anna Cadoret (Sorbonne University)
Feb 07, 2023
Tuesday
09:30 AM - 10:30 AM
  On the Distribution of the Hodge Locus
Emmanuel Ullmo (IHES)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Some Effective Methods in the Context of the Mordell-Lang Conjecture
Evelina Viada (Universität Göttingen)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Sparsity of Rational and Algebraic Points
Ziyang Gao (Leibniz Universität Hannover)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  A Product Formula for Periods
Pierre Colmez (Institut de Mathématiques de Jussieu)
04:30 PM - 06:20 PM
  Reception
Feb 08, 2023
Wednesday
09:30 AM - 10:30 AM
  Heights in the Isogeny Class of an Abelian Variety
Mark Kisin (Harvard University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Tate-Semisimplicity Over Finite Fields
Ananth Shankar (University of Wisconsin-Madison)
12:00 PM - 02:00 PM
  Lunch
03:00 PM - 03:30 PM
  Afternoon Tea
Feb 09, 2023
Thursday
09:30 AM - 10:30 AM
  The Filtration Method in Diophantine Geometry
Min Ru (University of Houston)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Modularity and Height Bounds
Hector Pasten (Pontificia Universidad Católica de Chile)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Quadratic Chabauty for Modular Curves
Jennifer Balakrishnan (Boston University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Path Integrals and L-Functions
Minhyong Kim (International Centre for Mathematical Sciences)
Feb 10, 2023
Friday
09:30 AM - 10:30 AM
  Formal-Analytic Surfaces: Nori’s Bound in Arakelov Geometry and Archimedean Overflow
Jean-Benoit Bost (Faculté des Sciences d’Orsay)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Formal-Analytic Arithmetic Surfaces: Finiteness Theorems, and Applications to Arithmetic Fundamental Groups
François Charles (École Normale Supérieure)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Unlikely Intersections and Applications to Diophantine Problems
Laura Capuano (Università degli Studi Roma Tre)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Polynomials with Squarefree Discriminant
Arul Shankar (University of Toronto)