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#Diophantine Equations

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Number Theory

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Explore fundamental concepts in number theory, including perfect numbers, prime theorems, and Diophantine equations, to deepen your understanding of mathematical relationships.
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7 Lesons
30 minutes
On-Demand
Free-Video
ICTP Mathematics

Ecuaciones Diofantinas con Pocas Soluciones - Lecture 4

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Explora teoremas y aplicaciones en ecuaciones diofantinas, incluyendo el teorema de Faltings para curvas y ejemplos prácticos, profundizando en la teoría de números.
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5 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

AGRA IV - Diophantine Equations with Few Solutions - Lecture 5

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Exploración avanzada de ecuaciones diofantinas con énfasis en casos con soluciones limitadas, presentada por el experto Hector Pasten de la PUC, Chile.
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1 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

Ecuaciones Diofantinas con Pocas Soluciones - Lecture 3

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Explora ecuaciones diofantinas con pocas soluciones, profundizando en conceptos avanzados de teoría de números y álgebra abstracta.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Ecuaciones Diofantinas con Pocas Soluciones - Lecture 1

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Exploración de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas avanzadas para analizar y resolver problemas en teoría de números.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Le dernier théorème de Fermat

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Plongez dans l'histoire fascinante et la résolution du célèbre théorème de Fermat, un défi mathématique qui a intrigué les esprits pendant plus de trois siècles.
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1 Lesons
48 minutes
On-Demand
Free-Video
Wrath of Math

Solving a Math Puzzle - Henry and the 32 Hogs Marriage Problem

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Dive into a challenging mathematical puzzle involving couples at a farm auction, using factoring and Diophantine equations to determine spousal relationships.
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1 Lesons
14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set

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Explore the probability of Buffon's needle landing near Cantor sets, delving into unexpected connections with various mathematical fields and theories.
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13 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Some Reflections on the Work of Udi Hrushovski

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Explore David Marker's reflections on Udi Hrushovski's contributions to geometric stability theory, strongly minimal expansions, and differentially closed fields in model theory.
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15 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Thermodynamical Formalism and Markoff-Hurwitz Equations

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Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

AGRA IV - Diophantine Equations with Few Solutions - Lecture 2

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Exploración avanzada de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas analíticas y algebraicas para abordar problemas complejos en teoría de números.
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1 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

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Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
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1 Lesons
1 hour 54 minutes
On-Demand
Free-Video
Fields Institute

Some Research Problems in Number Theory

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Explore intriguing research problems in number theory with Ram Murty, delving into advanced mathematical concepts and unsolved questions in this fascinating field.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

The ABC Conjecture in Number Theory

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Explore the ABC conjecture with insights from Prof. M. Ram Murty, presented by Hector Pasten Vasquez. Gain a deeper understanding of this fundamental mathematical concept.
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1 Lesons
31 minutes
On-Demand
Free-Video
Michael Penn

Solving a Higher Degree Diophantine Equation

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Explore techniques for solving complex Diophantine equations of higher degrees, enhancing problem-solving skills in number theory and algebraic manipulation.
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1 Lesons
20 minutes
On-Demand
Free-Video
Fields Institute

Exponential Relations Among Algebraic Integer Conjugates

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Explore exponential relations between algebraic integer conjugates, delving into advanced number theory concepts and their implications in mathematical research.
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1 Lesons
17 minutes
On-Demand
Free-Video
Michael Penn

Solving a Mixed Diophantine Equation

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Explore a fascinating mixed Diophantine equation, unraveling its complexities and discovering elegant solutions through step-by-step mathematical reasoning.
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1 Lesons
12 minutes
On-Demand
Free-Video
Michael Penn

Tweaking the Fermat Last Theorem Equation

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Explore variations of Fermat's Last Theorem equation, examining mathematical implications and potential insights into number theory and algebraic relationships.
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1 Lesons
10 minutes
On-Demand
Free-Video
Fields Institute

Hasse Principle for Function Fields

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Explore the Hasse principle's application to function fields, delving into its mathematical implications and theoretical foundations.
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1 Lesons
37 minutes
On-Demand
Free-Video
Wolfram

An Overview of Number Theory

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Explore number theory fundamentals including factoring, Diophantine problem solving, and primality testing in this comprehensive overview by Lusine Sukiasyan.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Probabilistic Approaches to Rational Points on Algebraic Surfaces

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Explore probabilistic methods for studying rational points on algebraic surfaces, delving into advanced mathematical concepts and recent research developments.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Arithmetic Statistics: Concepts and Applications

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Explore arithmetic statistics through an in-depth lecture, covering key concepts and recent developments in this mathematical field.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Integers Expressible as the Sum of Two Rational Cubes

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Explore integers expressible as sums of rational cubes with Manjul Bhargava in this advanced mathematical lecture on arithmetic statistics.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

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

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 6

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 5

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours 6 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 4

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 3

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 2

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 1

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Equation of Diophantus - Introduction to Torsion and Ranks of Elliptic Curves

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Explore Diophantus' equation and its impact on number theory, from ancient times to modern developments in elliptic curves and their torsion and ranks.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 3

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 4

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 2

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Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Banach Center

Diophantine Equations and Discrete Harmonic Analysis - Part 1

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Explore Diophantine equations and discrete harmonic analysis with Ákos Magyar, delving into advanced mathematical concepts and their applications in number theory and analysis.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Banach Center

On Sets of Multiples

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Explore sets of multiples in number theory, focusing on their properties and applications in mathematical analysis and dynamical systems.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

The Geometric Disposition of Diophantine Equations

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Explore the fascinating world of Diophantine equations through geometric perspectives, focusing on rational curves, K3 surfaces, and systems of equations in this engaging mathematical lecture.
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21 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On Diophantine Equations Related to Fibonacci Numbers

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Explore the mathematical relationships between Diophantine equations and Fibonacci numbers in this advanced number theory presentation from the Brazilian Workshop in Analytic Number Theory.
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1 Lesons
20 minutes
On-Demand
Free-Video
Wrath of Math

Finding the Greatest Common Factor Using Euclid's Algorithm

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Master Euclid's algorithm for finding greatest common divisors, from its historical origins to modern applications in solving diophantine equations, with proven computational efficiency methods.
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8 Lesons
21 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Small Solutions of Generic Ternary Quadratic Congruences

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Delve into advanced number theory concepts focusing on small solutions of generic ternary quadratic congruences, exploring circle method applications and analytical approaches in modern mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video