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#Sphere Packing

Showing: 12 courses
International Centre for Theoretical Sciences

Modular Forms by Mahesh Kakde

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Comprehensive exploration of modular forms, covering definitions, properties, and applications. Delves into Eisenstein series, theta functions, and related mathematical concepts for advanced learners in number theory.
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27 Lesons
1 hour 43 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

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Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.
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12 Lesons
1 hour 24 minutes
On-Demand
Free-Video
International Mathematical Union

Oded Regev: The Reverse Minkowski Theorem

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Explore the Reverse Minkowski Theorem, its applications, and open questions in lattice theory with mathematician Oded Regev in this insightful mathematical lecture.
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16 Lesons
44 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Thomson's 5 Point Problem and Power-Law Potentials - Rothschild Lecture

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Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Random Lattices as Sphere Packings

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Explore lattice-sum functions and their applications in sphere packing density, including Siegel's mean value theorem and recent advancements in optimal packing bounds.
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1 Lesons
33 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Linear Programming Bounds for Hyperbolic Surfaces

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Explore new upper bounds on geometric and spectral invariants of closed hyperbolic surfaces using the Selberg trace formula and linear programming techniques.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Maximally Dense Sphere Packings

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Explore optimal arrangements of disks in 2D and higher dimensions, focusing on recent findings for multiple disk sizes. Survey of results accessible to a broad audience.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Sphere Packing Problems by Abhinav Kumar

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Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.
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31 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Simons Institute

Back to the Future: The Evolution of Coding Theory Through Reed Muller Codes

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Explore the evolution of coding theory through Reed Muller codes, from sphere packing to iterative algorithms and quantum computing applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Sphere Packings with Forbidden Distances

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Delve into the mathematical exploration of sphere packing configurations, examining forbidden distances and their implications in geometric number theory through advanced analytical approaches.
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1 Lesons
25 minutes
On-Demand
Free-Video
PixelAffair

Cinema 4D Non-Intersecting Clones with Surface Scale Blue Noise - Circle and Sphere Packing

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Master Cinema 4D's surface scale blue noise distribution to create non-intersecting clones, apply materials, and render professional results using Redshift and scene nodes.
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1 Lesons
21 minutes
On-Demand
Free-Video
PoreLab

Frustrated Bearings: Exploring Minimum Energy Dissipation in Sphere Systems

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Explore the fascinating world of frustrated bearings, their unique properties, and applications in physics and engineering. Discover how these systems exhibit novel states and unexpected behaviors in 2D and 3D.
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1 Lesons
53 minutes
On-Demand
Free-Video