Diophantine Equations Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 4

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 3

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 2

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 1

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 6

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 1 hour 59 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 5

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 4

Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.

• YouTube
• 1 hour 59 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 3

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 2 hours
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 2

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 2 hours
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 1

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Wolfram

An Overview of Number Theory

Explore number theory fundamentals including factoring, Diophantine problem solving, and primality testing in this comprehensive overview by Lusine Sukiasyan.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Probabilistic Approaches to Rational Points on Algebraic Surfaces

Explore probabilistic methods for studying rational points on algebraic surfaces, delving into advanced mathematical concepts and recent research developments.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Arithmetic Statistics: Concepts and Applications

Explore arithmetic statistics through an in-depth lecture, covering key concepts and recent developments in this mathematical field.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Integers Expressible as the Sum of Two Rational Cubes

Explore integers expressible as sums of rational cubes with Manjul Bhargava in this advanced mathematical lecture on arithmetic statistics.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Quadratic Twist Families of Elliptic Curves with Unusual 2∞-Selmer Groups

Explore quadratic twist families of elliptic curves with unusual 2∞-Selmer groups in this advanced mathematics talk by Alexander Smith at CIRM's Arithmetic Statistics meeting.

• YouTube
• 1 hour
• On-Demand
• Free Video