Lattices Courses and Certifications

TheIACR

Programmable Hash Functions from Lattices

Explore lattice-based cryptography and its applications in programmable hash functions, a key component in modern cryptographic systems.

• YouTube
• 25 minutes
• On-Demand
• Conference Talk

Kavli Institute for Theoretical Physics

Nanoparticles Assembled by DNA - From Devices to Lattices - Tim Liedl

Explore DNA-based nanoparticle assembly techniques for creating complex structures and devices, from individual components to intricate lattices, with potential applications in materials science and nanotechnology.

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

Simons Institute

Another Round of Breaking and Making Quantum Money - How to Not Build It From Lattices and More

Explore quantum money security, focusing on lattice-based constructions and their vulnerabilities. Learn about cryptographic challenges and potential solutions in quantum computing.

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

Kavli Institute for Theoretical Physics

Correlated Phases in Geometrically Frustrated Lattices - Ming Yi

Exploring correlated phases in geometrically frustrated lattices, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.

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

Kavli Institute for Theoretical Physics

Mobile Majorana Zero Modes in Two-Channel Kondo Lattices - Rebecca Flint

Explores mobile Majorana zero modes in two-channel Kondo lattices, discussing the interplay of topology, symmetry, and interactions in correlated quantum materials and their potential applications.

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

Applied Algebraic Topology Network

Edit Distance and Persistence Diagrams Over Lattices

Functorial pipeline for persistent homology: from filtered simplicial complexes to persistence diagrams. Addresses multiparameter persistent homology and functoriality of persistence diagrams.

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

Institute for Pure & Applied Mathematics (IPAM)

Symmetry in Topological Lattices

Explore symmetry in topological lattices with Fiona Burnell, delving into advanced mathematical concepts related to topological phases of matter in this graduate-level lecture.

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

International Mathematical Union

Noncommutative Ergodic Theory of Higher Rank Lattices

Explore recent advancements in noncommutative ergodic theory, focusing on dynamics of positive definite functions and character rigidity in higher rank lattices, with applications to various mathematical fields.

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

International Centre for Theoretical Sciences

Spontaneous Disorder Near the Mott Transition on Frustrated Lattices

Explore spontaneous disorder in frustrated lattices near Mott transitions. Examine pyrochlore models, effective theories, and experimental realizations in molybdates. Analyze phase diagrams, magnetization, and transport properties.

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

Centre de recherches mathématiques - CRM

A Substitute for Kazhdan's Property (T) for Universal Non-Lattices - Lecture

Explore computer-assisted methods for proving property (T) in geometric group theory, including recent developments and human efforts to understand these proofs.

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

Centre de recherches mathématiques - CRM

Subgroups of Hyperbolic Groups, Finiteness Properties and Complex Hyperbolic Lattices

Explore finiteness properties of subgroups in hyperbolic groups and complex hyperbolic lattices, focusing on cocompact arithmetic lattices with positive first Betti number.

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

TheIACR

Efficient Updatable Public Key Encryption from Lattices - AC 2023

Explore efficient updatable public key encryption techniques based on lattice cryptography, advancing secure communication in the post-quantum era.

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

QCHEM LAB at KNU

Towards Smart Algorithms of Structural Minimization of Low-Dimensional Lattices: Quantum Stability and Topology Conservation Theorem

Explore quantum stability and topology conservation in structural minimization of low-dimensional lattices through smart algorithms.

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

Schmid College, Chapman University

The Structure of Residuated Lattices

Explore the structure of residuated lattices, from motivating examples to recent research, in this accessible graduate-level seminar on algebraic structures and their applications.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Experimental Works on Localized Vibrations in Nonlinear Lattices

Explore experimental observations of intrinsic localized modes in magneto-mechanical resonator arrays, including recent advancements in two-degree-of-freedom systems.

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