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#Elliptic Curves

Showing: 89 courses
University of Oxford

Andrew Wiles Talks to Hannah Fry

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Renowned mathematician Andrew Wiles discusses his work on Elliptic Curves and shares insights on motivation, resilience, and mathematics education in a captivating conversation with Hannah Fry.
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19 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institute for Advanced Study

Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen

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Explore strong approximation for the Markoff equation through nonabelian level structures on elliptic curves, delving into representation varieties and modular interpretations.
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11 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

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Explore a geometria de fibrações lagrangianas isotriviais em variedades hiperkähler compactas, incluindo tricotomia baseada na dimensão de Kodaira e busca por novos tipos de deformação.
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1 Lesons
1 hour
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
Centre International de Rencontres Mathématiques

Torsion Points of Elliptic Curves via Berkovich Spaces over Z

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Explore torsion points of elliptic curves using Berkovich spaces over Z in this advanced mathematical lecture by Jérôme Poineau at CIRM's thematic meeting on global invariants of arithmetic varieties.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Galois Representations and Statistics - Lecture 1

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Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
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1 Lesons
1 hour
On-Demand
Free-Video
Insights into Mathematics

The Differential Calculus for Curves - Differential Geometry

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Exploring advanced differential calculus for algebraic curves, including tangent lines, conics, and point classification. Extends to 3D surfaces, offering a comprehensive view of curve analysis.
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10 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art

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Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.
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10 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Panorama of Mathematics - Manjul Bhargava

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Explore the Birch and Swinnerton-Dyer Conjecture with Fields Medalist Manjul Bhargava, delving into rational solutions of polynomial equations and the structure of points on cubic curves.
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11 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Fields Institute

2-Selmer Groups, 2-Class Groups, and the Arithmetic of Binary Forms

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Explore Selmer groups, class groups, and binary forms in number theory. Gain insights into elliptic curves, hyperelliptic Jacobians, and superelliptic equations in this advanced mathematics seminar.
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21 Lesons
57 minutes
On-Demand
Free-Video
IMSA

On the P=W Conjecture II

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Exploration of the mirror P=W conjecture, its evidence in low dimensions, and potential verification methods using Lagrangian torus fibrations. Discusses work with Katzarkov-Przyjalkowski and Katzarkov-Pantev.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Mathologer

Euler's and Fermat's Last Theorems, the Simpsons and CDC6600

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Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.
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1 Lesons
32 minutes
On-Demand
Free-Video
International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

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Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Traces of CM Values and Geodesic Cycle Integrals of Modular Functions

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Explores generating series of CM value traces and geodesic cycle integrals of modular functions, covering theta lifts and applications to L-series and cycle integral rationality.
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1 Lesons
46 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Computational Aspects of Nonabelian Chabauty - Lecture 1

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Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3

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Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

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Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

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Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
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1 Lesons
1 hour 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
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4

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Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

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Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Complex Multiplication: Past, Present, Future - Lecture 2

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Explore the evolution and future prospects of complex multiplication in mathematics with Benedict Gross in this insightful lecture from the Joint Mathematics Meetings.
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1 Lesons
51 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Complex Multiplication: Past, Present, Future - Lecture 1

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Explore the history and foundations of complex multiplication in this engaging lecture by renowned mathematician Benedict Gross, delving into its past developments and current significance.
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1 Lesons
42 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves

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Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Rational Points on Modular Curves - Lecture 3

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Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Rational Points on Modular Curves - Lecture 2

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Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 2

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Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3

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Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Rational Points on Modular Curves by Jan Vonk

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Explore advanced techniques for studying rational points on modular curves, focusing on theoretical and computational aspects in arithmetic geometry.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde

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Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Iwasawa Theory for Rankin-Selberg L-Function at an Eisenstein Prime

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Explores Iwasawa theory for Rankin-Selberg L-functions at Eisenstein primes, delving into advanced arithmetic geometry concepts and their applications in number theory.
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1 Lesons
31 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1

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Explore modular forms, elliptic curves, and modular curves in this advanced lecture. Gain insights into arithmetic geometry and the study of rational points on varieties.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 2

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Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights into rational points and their significance in number theory.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 4

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Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights from expert Eknath Ghate in this in-depth lecture.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Rational Points on Modular Curves - Lecture 1

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Explore advanced concepts in arithmetic geometry, focusing on rational points on modular curves. Gain insights into theoretical and computational aspects of this fascinating field of mathematics.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 1

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Explore advanced techniques for studying rational points on modular curves, focusing on classical and quadratic Chabauty methods in arithmetic geometry.
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1 Lesons
1 hour 23 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

Ranks of Elliptic Curves in Cyclic Sextic Extensions of Q

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Explore elliptic curve ranks in cyclic sextic extensions of Q, delving into advanced number theory concepts and their applications in algebraic geometry.
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1 Lesons
22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Moments of Families of Elliptic Curves

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Explore new developments in higher moment sums of elliptic curve families, their connections to modular forms, and applications to rigid Calabi-Yau threefolds and intermediate Jacobians.
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1 Lesons
50 minutes
On-Demand
Free-Video
Michael Penn

Integer Points on Mordell Curves

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Explore integer solutions on Mordell curves, a fascinating topic in number theory. Gain insights into this complex mathematical concept through clear explanations and examples.
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1 Lesons
23 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin

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Explore techniques for counting rational points on modular curves of genus 0 over number fields, advancing understanding in arithmetic geometry and algebraic number theory.
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1 Lesons
1 hour 8 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
Galileo Galilei Institute

Modularity and Monodromy

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Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry

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Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
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13 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Minimal Torsion Curves in Geometric Isogeny Classes

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Explore minimal torsion curves in geometric isogeny classes, delving into advanced number theory concepts and computational techniques.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Finite Flat Group Schemes over Z

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Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Computing Euler Factors of Curves

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Explore computational methods for determining Euler factors of curves in arithmetic geometry, focusing on advanced mathematical techniques and applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Equivariant Elliptic Cohomology

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Explore equivariant elliptic cohomology, from motivations to applications in representation theory and global homotopy. Gain insights into elliptic curves, K-theory, and infinity rings.
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17 Lesons
1 hour 8 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
Centre International de Rencontres Mathématiques

Complex Multiplication - Lecture 1

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Explore complex multiplication in mathematics through an in-depth lecture by Jan Vonk, covering fundamental concepts and advanced theories.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Abelian Surfaces

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Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.
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1 Lesons
1 hour 8 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
Centre de recherches mathématiques - CRM

Isolated and Parameterized Points on Algebraic Curves

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Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

The Langlands Project - Connecting Automorphic Forms and Number Theory

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Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
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1 Lesons
56 minutes
On-Demand
Free-Video
BIMSA

Heights of Algebraic Cycles and Special Values of L-Series - ICBS 2024

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Explore heights of algebraic cycles and their connections to L-series special values, focusing on CM points and Gross-Schoen cycles on elliptic curves.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Representations of Simple Affine Vertex Algebras at Elliptic Levels and Affine Springer Fibres

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Explore connections between affine vertex algebras and elliptic affine Springer fibres, delving into representation theory and geometric insights.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quasi Jacobi Forms and Moduli Space of Enhanced Elliptic Curves - GADEPs Conference III

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Explore quasi Jacobi forms and moduli space of enhanced elliptic curves in this advanced mathematics lecture by Jin Cao, part of the GADEPs conference on Noether-Lefschetz and Hodge loci.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

K2 of Elliptic Curves over Non-Abelian Cubic and Quartic Fields

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Explore K_2 of elliptic curves over non-Abelian fields, including constructions, integral elements, and numerical verification of Beilinson's conjecture. Joint work with Brunault, Hang, and Rodriguez Villegas.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Christian Bogner: The Analytic Continuation of the Kite and the Sunrise Integral

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Explores advanced Feynman integrals using elliptic generalizations of polylogarithms, discussing properties through periods of elliptic curves and the Picard-Lefschetz theorem.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Elliptic Orthogonal Polynomials and Their Integrability

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Explore elliptic orthogonal polynomials and their integrability through Riemann-Hilbert analysis, examining discrete and continuous integrable systems and connections to the sixth Painlevé equation.
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1 Lesons
45 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Statistical Models on Random Regular Graphs

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Explore statistical models on random regular graphs, focusing on matrix-forest theorem, Parisi-Sourlas trick, and applications to 2D quantum gravity and spanning forests.
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1 Lesons
47 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Calabi-Yaus and Curves in Feynman Integrals

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Explore the intricate connection between Calabi-Yau manifolds and Feynman integrals in particle physics, unraveling complex mathematical structures in quantum field theory.
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1 Lesons
53 minutes
On-Demand
Free-Video
Churchill CompSci Talks

Lenstra's Elliptic Curve Factorization Method

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Explore Lenstra's elliptic curve factorization method, its applications in cryptography, and its impact on computational number theory. Learn about this fast special-purpose algorithm and its mathematical foundations.
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16 Lesons
31 minutes
On-Demand
Free-Video
Fields Institute

Arithmetic Statistics and the Iwasawa Theory of Elliptic Curves

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Explore arithmetic statistics and Iwasawa theory of elliptic curves, covering Selmer groups, Greenberg's Conjecture, and p-adic Birch and Swinnerton-Dyer Conjecture in this advanced number theory seminar.
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12 Lesons
57 minutes
On-Demand
Free-Video
International Mathematical Union

The Arithmetic of Quadratic Twists of Elliptic Curves

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Explore quadratic twists of elliptic curves, Selmer groups, and L-values. Delve into the congruent number problem and progress on the BSD conjecture. Gain insights into advanced number theory concepts.
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13 Lesons
46 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Post-Quantum Key Exchange from Supersingular Isogenies - IPAM at UCLA

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Explore post-quantum cryptography with a focus on Supersingular Isogeny Diffie-Hellman (SIDH) key exchange, aimed at beginners but benefiting from basic elliptic curve knowledge.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Applied Cryptography and Trust - Public Key Encryption

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Explore public key encryption, including RSA and elliptic curve methods, to understand secure communication and key pair concepts in modern cryptography.
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7 Lesons
41 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Crypto Fundamentals

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Explore cryptography essentials including set theory, modular arithmetic, finite groups, and elliptic curves. Gain foundational knowledge for understanding modern cryptographic systems.
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17 Lesons
47 minutes
On-Demand
Free-Video
Bill Buchanan OBE

E-Security - Key Exchange

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Explore key exchange methods, including Diffie-Hellman and elliptic curve cryptography, for secure communication and forward secrecy in modern applications.
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13 Lesons
1 hour 35 minutes
On-Demand
Free-Video
TheIACR

Isogenies in Cryptography - Session 2

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Explore cutting-edge research on isogeny-based cryptography in this advanced session from Eurocrypt 2023, featuring presentations on the latest developments and applications in the field.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

A New Case of BSD Conjecture and Deformation of Line Bundles

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Explores a new case of the BSD conjecture for elliptic curves and examines deformation of line bundles in positive and mixed characteristic, applying rigidity properties of variations of Hodge structures.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
TheIACR

Isogenies in Cryptography - Eurocrypt 2024 Session

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Explore cutting-edge cryptographic research on isogenies, presented at Eurocrypt 2024. Gain insights into advanced mathematical concepts and their applications in modern cryptography.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
media.ccc.de

Post-Quantum Isogeny Cryptography

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Explore post-quantum cryptography focusing on elliptic curve isogenies. Learn about secure key exchange and signature algorithms for potential quantum computing threats.
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15 Lesons
52 minutes
On-Demand
Free-Video
Black Hat

Practical Attacks Against Attribute-based Encryption

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Explore practical attacks on attribute-based encryption, examining vulnerabilities in multi-authority schemes and their implications for cloud security and IoT applications.
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19 Lesons
38 minutes
On-Demand
Free-Video
PHP UK Conference

More Secrets of Cryptography

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Explore advanced cryptography concepts like hash functions, elliptic curves, and quantum cryptography, with practical applications in web trust and blockchain technology.
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21 Lesons
52 minutes
On-Demand
Free-Video
linux.conf.au

Mathematics and Development of Fast TLS Handshakes

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Explore fast TLS handshakes using modern cryptography algorithms, with benchmarks comparing Tempesta TLS to OpenSSL/Nginx, focusing on elliptic curve computations and security considerations.
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22 Lesons
43 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Cryptography Fundamentals - Elliptic Curve Fundamentals

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Explore elliptic curve points as an alternative to discrete logarithms in cryptography, offering improved efficiency and security for various applications.
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1 Lesons
12 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Low Lying Zeros in Families Related to Complex Multiplication Elliptic Curves

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Delve into advanced number theory concepts focusing on low-lying zeros and their relationship to CM elliptic curves, exploring mathematical patterns and theoretical frameworks in this specialized mathematical domain.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Vanishing of Twisted L-Functions of Elliptic Curves Over Function Fields

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Explore vanishing of twisted L-functions for elliptic curves over function fields, focusing on rich characters, Honda Theory, and Legendre Theory in this advanced mathematical discussion.
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12 Lesons
46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Isogeny-based Cryptography on the Abelian Surface

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Explore isogeny-based cryptography on abelian surfaces, delving into advanced mathematical concepts and their applications in modern cryptographic systems.
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1 Lesons
56 minutes
On-Demand
Free-Video
PapersWeLove

A Requiem for SIDH - Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

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Explore isogeny-based cryptography's rise and fall, from SIDH's game-changing efficiency to its ultimate demise, and discover potential future directions for post-quantum cryptosystems.
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1 Lesons
47 minutes
On-Demand
Free-Video
QuICS

Isogeny-Based Cryptography After The Snap

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Explore the latest developments in isogeny-based cryptography post-SIKE attack, examining its impact and future prospects in post-quantum cryptography.
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1 Lesons
59 minutes
On-Demand
Free-Video
TheIACR

Isogenies and Elliptic Curves in Cryptography

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Explore advanced cryptographic concepts focusing on isogenies and elliptic curves in this comprehensive session from Crypto 2024, chaired by Francisco Rodríguez-Henríquez.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Elliptic Curves Associated to Two-Loop Graphs and Feynman Diagrams - Rothschild Lecture

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Explore elliptic curves in two-loop Feynman diagrams, examining their emergence in cubic hypersurfaces and potential connections to elliptic dilogarithms in quantum field theory amplitudes.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions

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Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
BIMSA

Heuristics for the Arithmetic of Elliptic Curves and Abelian Varieties

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Explore probabilistic models for elliptic curve arithmetic, examining theoretical evidence and predictions for higher-dimensional abelian varieties.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

Higher Symmetries in Quantum Field Theory from String Theory

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Explore higher symmetries in quantum field theory through string theory on singular special holonomy spaces. Uncover their origins and implications in compact spaces and F-theory duals.
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1 hour 5 minutes
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