Lattices Courses and Certifications

Simons Institute

Mathematics of Lattices

Explore fundamental concepts and applications of lattice theory in algorithms, complexity, and cryptography with expert insights from UC San Diego researcher Daniele Micciancio.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Insights into Mathematics

ADE Graphs and Lattices, Weights and Quarks

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.

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

ICTP Mathematics

Lattices in Low-Dimensional Topology

Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.

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

International Mathematical Union

Mathematics of Computation Through the Lens of Linear Equations and Lattices

Explore mathematical foundations of computation through linear equations and lattices, covering error correction, vector problems, and lattice theory with implications for future computing.

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

Centre International de Rencontres Mathématiques

Irreducible Lattices in Semi-Simple Lie Groups of Higher Rank

Explore irreducible lattices in semi-simple Lie groups of higher rank and their properties in this advanced mathematical lecture by Sebastian Hurtado Salazar.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Fields Institute

Posets, Lattices, and Hibi Rings

Explore the mathematical concepts of posets, lattices, and Hibi rings in this seminar by Oleksandra Gasanova from the University of Duisburg-Essen.

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

International Centre for Theoretical Sciences

Introduction to Sphere Packing Problems by Abhinav Kumar

Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Simons Institute

A Reverse Minkowski Theorem

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.

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

Centre International de Rencontres Mathématiques

Margulis-Zimmer's Super-Rigidity Theorem

Explore Margulis-Zimmer's super-rigidity theorem in mathematics, delving into its implications and applications in group theory and geometry.

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

University of Chicago Department of Mathematics

Uniform Stability of High-Rank Arithmetic Groups

Explore uniform stability properties of high-rank arithmetic groups through asymptotic cohomology theory and its applications to almost-representations.

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

Centre International de Rencontres Mathématiques

Higher Property T - Cohomological Vanishing and Fixed Point Properties

Explore advanced mathematical connections between Lp-cohomology, fixed point properties, and waist inequalities in the context of higher property T for simple groups.

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

Institut des Hautes Etudes Scientifiques (IHES)

Higher Property T, Banach Representations and Applications

Explore advanced cohomological vanishing results connecting Gromov's L^p-cohomology conjecture and Farb's fixed point property through Banach versions of higher property T.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

An Introduction to Lattices, Lattice Reduction, and Lattice-Based Cryptography

Explore lattice theory and quantum-resistant cryptography through comprehensive lectures covering lattice problems, reduction algorithms, and practical cryptosystem construction.

• YouTube
• 4 hours 46 minutes
• On-Demand
• Free Video

Simons Institute

Quantum Money Based on Lattices

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.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Simons Institute

Lattices and Quantum

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.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video