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Schedule, Notes/Handouts & Videos

Sparsity of Algebraic Points (Virtual School) June 07, 2021 - June 18, 2021

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Jun 07, 2021
Monday
09:30 AM - 10:15 AM
  Meet and Greet
10:30 AM - 11:30 AM
  Sparsity of Algebraic Points: Part 1
Philipp Habegger (University of Basel)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Sparsity of Algebraic Points: Part 2
Philipp Habegger (University of Basel)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 08, 2021
Tuesday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  0-Minimal Geometry Part 1
Philipp Habegger (University of Basel)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  0-Minimal Geometry Part 2
Philipp Habegger (University of Basel)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 09, 2021
Wednesday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Pila-Wilkie Theorem and Transcendence
Philipp Habegger (University of Basel)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  TA Session
Jun 10, 2021
Thursday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Manin-Mumford and André Oort Part 1
Philipp Habegger (University of Basel)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Manin-Mumford and André Oort Part 2
Philipp Habegger (University of Basel)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 11, 2021
Friday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Unlikely Intersections
Philipp Habegger (University of Basel)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  The Legendre Family of Elliptic Curves
Philipp Habegger (University of Basel)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 14, 2021
Monday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Lecture 1- From Rational Approximations to Diophantine Equations
Hector Pasten (Pontificia Universidad Católica de Chile)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Lecture 2- From Rational Approximations to Diophantine Equations
Hector Pasten (Pontificia Universidad Católica de Chile)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 15, 2021
Tuesday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Lecture 3: Reminder of Algebraic Geometry- Sheaves and Divisors
Hector Pasten (Pontificia Universidad Católica de Chile)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Lecture 4: Heights and Weil Functions
Hector Pasten (Pontificia Universidad Católica de Chile)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 16, 2021
Wednesday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Lecture 5- Integral Points in Higher Dimensional Varieties
Hector Pasten (Pontificia Universidad Católica de Chile)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  TA Session
Jun 17, 2021
Thursday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Lecture 6: The Main Conjectures
Hector Pasten (Pontificia Universidad Católica de Chile)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Lecture 7: Bűchis Problem: a Case Study
Hector Pasten (Pontificia Universidad Católica de Chile)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
Jun 18, 2021
Friday
09:30 AM - 10:15 AM
  Reports and discussion
10:30 AM - 11:30 AM
  Lecture 8: The Filtration Method
Hector Pasten (Pontificia Universidad Católica de Chile)
11:30 AM - 12:30 PM
  Break
12:30 PM - 01:30 PM
  Lecture 9: Further Applications of the Subspace Theorem
Hector Pasten (Pontificia Universidad Católica de Chile)
01:30 PM - 02:00 PM
  Coffee Break
02:00 PM - 04:00 PM
  TA Session
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