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#Lattices

Showing: 38 courses
Instituto de Matemática Pura e Aplicada

Reticulados, Álgebras e Moonshine - Palestra Especial 2023

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Explore a teoria de representações com foco em reticulados, álgebras e moonshine nesta palestra especial ministrada por Jethro Van Ekeren.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Fixed Price One for Higher Rank Groups - Measured Group Theory

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Explore proof techniques for fixed price one in higher rank groups, with applications to lattices. No prior Lie theory knowledge required.
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1 Lesons
50 minutes
On-Demand
Free-Video
Insights into Mathematics

ADE Graphs and Lattices, Weights and Quarks

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Explore ADE graphs, lattices, and their connections to mathematics and particle physics. Discover the Numbers game, weights, and the fascinating link between A2 diagrams and quark theory.
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11 Lesons
1 hour
On-Demand
Free-Video
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
ICTP Mathematics

Involutions of a Cubic Fourfold

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Explore involutions of cubic fourfolds, covering hyperkähler manifolds, period domains, and evolution types. Delve into geometry, rationality, and related mathematical concepts.
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13 Lesons
33 minutes
On-Demand
Free-Video
International Mathematical Union

Analysis with Simple Lie Groups and Lattices

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Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.
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1 Lesons
46 minutes
On-Demand
Free-Video
ICTP Mathematics

Lattices in Low-Dimensional Topology

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Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP Mathematics

Lattices in Low-Dimensional Topology

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Explore the fascinating intersection of lattice theory and low-dimensional topology, delving into fundamental concepts and their applications in geometric and topological structures.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Insights into Mathematics

Lattice Relations and Hermite Normal Form - Abstract Algebra Math Foundations 224

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Explore lattices and integral linear spans of vexels, including the Hermite normal form algorithm for understanding lattice structure and relations between elements in a spanning set.
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1 Lesons
34 minutes
On-Demand
Free-Video
Insights into Mathematics

Linear Spaces and Spans II - MathFoundations 220

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Introduction to integral linear spaces as abstract algebraic objects, exploring their applications in mathematics, chemistry, and physics. Foundational concepts for linear algebra using vexel language for concrete examples.
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1 Lesons
34 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Ulam Stability of Thompson Groups

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Explore Ulam stability of Thompson groups through asymptotic cohomology. Gain insights into this rigidity property for discrete groups and its application to groups F, T, and V.
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1 Lesons
40 minutes
On-Demand
Free-Video
IPhT-TV

Clone Symmetric Function Theory

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Explore clone symmetric function theory, delving into advanced mathematical concepts and their applications in algebraic combinatorics and representation theory.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Subgroups - Lecture 1: Invariant Random Subgroups

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Explore the theory of invariant random subgroups (IRS) and its applications to lattices and asymptotic invariants in locally symmetric manifolds and discrete subgroups of Lie groups.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Subgroups - Lecture 3: Non-Invariant Random Subgroups

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Explore the theory of stationary random subgroups (SRS) and its applications to lattices and asymptotic invariants in Lie groups, expanding beyond invariant random subgroups (IRS).
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1 Lesons
54 minutes
On-Demand
Free-Video
CG Cookie

CGC Classic - Creating a Pumpkin - Modeling

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Learn to model a simple pumpkin in Blender 2.4, covering shaping techniques, stem creation, and using the lattice tool in this Halloween-themed tutorial.
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5 Lesons
17 minutes
On-Demand
Free-Video
CG Cookie

Curve Modeling Basics in Blender 2.4 - CGC Classic

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Learn curve modeling techniques in Blender 2.4, including bevel objects, taper objects, and lattices. Master essential skills for creating complex 3D shapes efficiently.
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1 Lesons
37 minutes
On-Demand
Free-Video
Rawkode Academy

Introduction to WebAssembly and waSCC - Secure Capabilities for Cloud-Native Applications

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Explore WebAssembly and waSCC: Learn about binary instruction format, secure capabilities, and practical applications in cloud-native services and IoT through hands-on projects and demonstrations.
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12 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Simons Institute

The CKKS - HEAAN FHE Scheme

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Explore the CKKS (HEAAN) fully homomorphic encryption scheme, covering its algorithms, operations, and practical applications in secure data processing.
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18 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Institute

A Reverse Minkowski Theorem

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Explore lattice geometry, algorithms, and hardness with a focus on the Reverse Minkowski Theorem, covering applications, proofs, and open questions in this advanced mathematical talk.
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15 Lesons
1 hour
On-Demand
Free-Video
Simons Institute

Lattices, Multilinear Maps and Program Obfuscation

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Explore advanced lattice-based cryptography, focusing on multilinear maps and program obfuscation. Learn about trapdoor sampling, evaluation techniques, and applications in pseudorandom functions and private constraints.
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17 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Simons Institute

Lattices and Encrypted Computation

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Explore lattice-based cryptography, focusing on fully homomorphic encryption and its breakthroughs. Learn about key switching, modular computation, and multi-key encryption in this advanced talk.
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15 Lesons
1 hour 7 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
International Mathematical Union

Mathematics of Computation Through the Lens of Linear Equations and Lattices

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Explore mathematical foundations of computation through linear equations and lattices, covering error correction, vector problems, and lattice theory with implications for future computing.
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18 Lesons
45 minutes
On-Demand
Free-Video
Simons Institute

Quantum Advantage Without Structure

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Explore cutting-edge research on quantum advantage, focusing on unstructured problems and their implications for quantum computing's potential superiority over classical methods.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Simons Institute

Quantum Algorithms and Post-Quantum Cryptography

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Explore quantum algorithms, post-quantum cryptography, and their impact on computing. Delve into exponential speedups, NIST standards, lattices, and isogeny-based cryptography.
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25 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Mathematics of Lattices

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Explore fundamental concepts and applications of lattice theory in algorithms, complexity, and cryptography with expert insights from UC San Diego researcher Daniele Micciancio.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Simons Institute

Quantum Cryptography - Beyond QKD

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Explore advanced quantum cryptography concepts beyond Quantum Key Distribution, delving into lattice-based algorithms and their applications in complex cryptographic systems.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Simons Institute

Quantum Money Based on Lattices

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Explore the concept of quantum money and its foundation in lattice-based cryptography with MIT expert Peter Shor in this advanced theoretical computer science lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Simons Institute

Lattices and Quantum

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Explore the intersection of lattice-based cryptography and quantum computing with expert Zvika Brakerski, delving into cutting-edge research and potential implications for future security systems.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP Mathematics

Lattices in Low-Dimensional Topology

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Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
TheIACR

Isogenies and Lattices in Cryptography - Session 12

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Explore isogenies and lattices in cryptography, covering twin smooth integers, polynomials, delayed encryption, sealed bid auctions, and lattice-based techniques for enhanced security.
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26 Lesons
1 hour 2 minutes
On-Demand
Free-Video
TheIACR

Adaptively Secure Identity-Based Encryption from Lattices with Asymptotically Shorter Public Parameters

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Explore advanced cryptography techniques focusing on adaptively secure identity-based encryption from lattices, featuring asymptotically shorter public parameters.
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1 Lesons
25 minutes
On-Demand
Free-Video
TheIACR

Tweaking the Asymmetry of Asymmetric-Key Cryptography on Lattices - KEMs and Signatures of Small

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Explore lattice-based cryptography advancements, focusing on key encapsulation mechanisms and signatures with improved efficiency and security for post-quantum applications.
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1 Lesons
21 minutes
On-Demand
Free-Video
TheIACR

Lattices and Related Problems

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Explore lattice theory and its applications in cryptography, focusing on computational problems and their significance in modern security systems.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
PKI Consortium

Lattice-Based Cryptography: Principles and Applications in Post-Quantum Standards

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Explore lattice-based cryptography principles, including public key encryption and digital signatures, as applied in new PQC standards like Kyber, Dilithium, and Falcon.
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1 Lesons
41 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Irreducible Lattices in Semi-Simple Lie Groups of Higher Rank

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Explore irreducible lattices in semi-simple Lie groups of higher rank and their properties in this advanced mathematical lecture by Sebastian Hurtado Salazar.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Margulis-Zimmer's Super-Rigidity Theorem

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Explore Margulis-Zimmer's super-rigidity theorem in mathematics, delving into its implications and applications in group theory and geometry.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video