Lattices Courses and Certifications

IPhT-TV

Quantum Fluids of Light in Semiconductor Lattices

Explore quantum fluids of light in semiconductor lattices, focusing on photonic resonators, polariton condensates, and topological properties. Gain insights into driven dissipative physics and its applications.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

PoreLab

Amplitude Phase-Field Crystal Model for Complex Lattices

Explore complex lattice structures using the amplitude phase-field crystal model, focusing on advanced computational techniques and applications in materials science.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Topological Phase Transitions in Strained Lieb-Kagome Lattices

Explore topological phase transitions in strained Lieb-Kagome lattices through advanced quantum materials research and theoretical analysis.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Simons Institute

Running Circuits of Unbounded Depth over Encrypted Data, Securely, Using Lattices

Explore lattice-based techniques for attribute-based encryption supporting unrestricted polynomial-size computations without bounded-depth circuit limitations.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Simons Institute

Succinct Randomized Encodings from Lattices

Discover how to construct succinct randomized encodings with near-optimal parameters using lattice-based computational problems and obfuscation techniques.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Topos Institute

70 Years with Heyting Algebras - Identities and Distributive Lattices

Explore the 70-year journey through Heyting algebras, examining their connections to logic and the groundbreaking proof about finite distributive lattices in mathematical theory.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Optical Lattices - Class 2

Explore advanced optical lattice concepts in this specialized physics lecture covering quantum simulation and ultracold atom manipulation techniques.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Optical Lattices - Class 3

Explore advanced optical lattice concepts in this specialized physics lecture covering quantum simulation and ultracold atom manipulation techniques.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Optical Lattices - Class 1

Discover the fundamentals of optical lattices in this physics lecture from the IV School on Light and Cold Atoms, exploring how light creates periodic potentials for trapping atoms.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Determinant Values on Irrational Lattices

Explore advanced mathematical research on value-distribution of determinants in irrational lattices, connecting to the Oppenheim conjecture for quadratic forms.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Resolving Vortex Lattices in Type-II Superconductors with Multiscale Techniques

Explore advanced multiscale techniques for computing vortex lattices in superconductors using the Localized Orthogonal Decomposition method to overcome computational challenges.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Data Science Festival

From Ladders to Lattices - The Career Framework Your Data Team Can Actually Use

Discover how to build flexible career frameworks for modern data teams that span engineering, analytics, and AI roles beyond traditional management paths.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Chain Polynomials of Noncrossing Partition Lattices are Real-Rooted

Delve into advanced mathematical concepts exploring chain polynomials in noncrossing partition lattices, focusing on finite Coxeter groups and their h-polynomial formulas.

• YouTube
• 19 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video