Higher Order Topology Courses and Certifications

Topology Shapes Dynamics of Higher-order Networks

Exploring how higher-order network interactions influence non-linear dynamics, synchronization, and percolation in complex systems like brain networks and climate patterns.

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

PCS Institute for Basic Science

Spin-Resolved Topology and Partial Axion Angles in Higher-Order Topological Crystalline Insulators

Explore spin-resolved topology in higher-order topological crystalline insulators, examining bulk signatures, experimental observables, and novel spin-resolved phases with distinct responses.

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

ICTP Condensed Matter and Statistical Physics

Topology and Dynamics of Higher-Order Networks - Lecture 1: General Introduction to Algebraic Topology on Networks and Simplicial Complexes

Explore algebraic topology in networks and simplicial complexes, focusing on homology and boundary operators. Gain insights into higher-order network structures and their impact on complex systems.

• YouTube
• 2 hours 16 minutes
• On-Demand
• Free Video

ICTP Condensed Matter and Statistical Physics

Topology and Dynamics of Higher-Order Networks - Lecture 3: Topological Dirac Equation and Discrete Network Geometry

Explore topological Dirac equations and discrete network geometry in higher-order networks. Delve into metric cohomology and its applications in mathematical physics and dynamical systems.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

ICTP Condensed Matter and Statistical Physics

Topology and Dynamics of Higher-Order Networks - Lecture 2: Introduction to Algebraic Topology on Networks and Simplicial Complexes

Explore algebraic topology on networks and simplicial complexes, focusing on Hodge Laplacians and Dirac operators in higher-order networks. Gain insights into topological signals and their applications.

• YouTube
• 2 hours
• On-Demand
• Free Video

ICTP Condensed Matter and Statistical Physics

Topology and Dynamics of Higher-Order Networks - Information Theory of Network Geometry and Gauge Fields - Lecture 4

Explore information theory of network geometry and gauge fields in higher-order networks. Delve into topological signals, discrete topology, and emerging dynamical states in complex systems.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

APS Physics

Topology Shapes Dynamics of Higher-Order Networks

Explore the intricate relationship between topology and dynamics in higher-order networks through advanced mathematical concepts and their real-world applications in complex systems.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

From Abelian Anyons in Moiré Matter to Non-Abelions in Synthetic Quantum Systems - Ashvin Vishwanath

Explore the interplay of topology, symmetry, and interactions in quantum systems, from Abelian anyons in moiré matter to non-Abelions in synthetic structures, with insights on recent theoretical and experimental advancements.

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

Kavli Institute for Theoretical Physics

New Results on Crystalline Graphene Multilayers - Intervalley Coherence and Emergent Spin Orbit Coupling

Explores recent advancements in crystalline graphene multilayers, focusing on intervalley coherence and emergent spin-orbit coupling. Discusses implications for topology, symmetry, and interactions in condensed matter physics.

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

Kavli Institute for Theoretical Physics

Quantum Materials Under Nonlinear Spotlight - Probing Symmetry and Quantum Geometry

Exploring quantum materials using nonlinear techniques to investigate symmetry and quantum geometry. Discusses recent advancements in probing topological properties and their interplay with symmetry and interactions.

• YouTube
• 45 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

Kavli Institute for Theoretical Physics

Topological Phases With Average Symmetries - Chong Wang

Explores the interplay of topology, symmetry, and interactions in quantum systems, discussing recent advancements and their implications for understanding correlated topological phases and strongly interacting materials.

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

Kavli Institute for Theoretical Physics

The Topological Heavy Fermion Principle for Interacting Flat Bands in Twisted Bilayer Graphene and Beyond - Andrei Bernevig

Explores the interplay of topology, symmetry, and interactions in flat band systems, focusing on twisted bilayer graphene and its implications for understanding correlated topological phases.

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

Kavli Institute for Theoretical Physics

Thermal Hall Effect of Phonons via Kinetic Equation - Leon Balents

Explore the thermal Hall effect of phonons through kinetic equations, examining anomalous effects, Hall viscosity, and energy magnetization in quantum materials.

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