Workshop Introductory Workshop: Diophantine Geometry

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Feb 09, 2023
Thursday

11:00 AM - 12:00 PM		Modularity and Height Bounds Hector Pasten (Pontificia Universidad Católica de Chile)
Location MSRI: Simons Auditorium, Online/Virtual Video Abstract In this talk I will explain how the modularity of elliptic curves leads to height bounds of different sorts. These have applications in explicit computation of integral points in varieties, and proving unconditional results related to the abc conjecture. Supplements -- Show Detail

August 03, 2022 (03:30 PM PDT - 04:15 PM PDT)
Seminar Non-Diophantine Sets in Rings of Functions
July 19, 2022 (03:30 PM PDT - 04:15 PM PDT)
Seminar Arithmetic Derivatives and \emph{abc}

June 07, 2021 - June 18, 2021

Summer Graduate School Sparsity of Algebraic Points (Virtual School)

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Jun 14, 2021
Monday

10:30 AM - 11:30 AM		Lecture 1- From Rational Approximations to Diophantine Equations Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail
12:30 PM - 01:30 PM		Lecture 2- From Rational Approximations to Diophantine Equations Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail

Jun 15, 2021
Tuesday

10:30 AM - 11:30 AM		Lecture 3: Reminder of Algebraic Geometry- Sheaves and Divisors Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail
12:30 PM - 01:30 PM		Lecture 4: Heights and Weil Functions Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail

Jun 16, 2021
Wednesday

10:30 AM - 11:30 AM		Lecture 5- Integral Points in Higher Dimensional Varieties Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail

Jun 17, 2021
Thursday

10:30 AM - 11:30 AM		Lecture 6: The Main Conjectures Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail
12:30 PM - 01:30 PM		Lecture 7: Bűchis Problem: a Case Study Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail

Jun 18, 2021
Friday

10:30 AM - 11:30 AM		Lecture 8: The Filtration Method Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail
12:30 PM - 01:30 PM		Lecture 9: Further Applications of the Subspace Theorem Hector Pasten (Pontificia Universidad Católica de Chile)
Location -- Video Abstract -- Supplements -- Show Detail

November 13, 2020 (08:00 AM PST - 09:00 AM PST)
Seminar DDC - Introductory Seminar: Sequences of squares II: Definability
November 11, 2020 (08:00 AM PST - 09:00 AM PST)
Seminar DDC - Introductory Seminar: Sequences of squares I: Diophantine equations
November 04, 2020 (09:00 AM PST - 10:00 AM PST)
Seminar DDC - Valuation Theory: Hilbert's tenth problem for rings of exponential polynomials
September 03, 2020 (08:00 AM PDT - 09:00 AM PDT)
Seminar DDC - Five Minute Talks