Cluster Algebras Courses and Certifications

Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras for General Braid Varieties

Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.

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

NCCR SwissMAP

Singularities of Massless Scattering and Cluster Algebras

Explore the mathematical connections between massless particle scattering singularities and cluster algebra structures in theoretical physics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Classifying Bounded Ratios on Cluster Algebras with U-Variables

Explore advanced mathematical techniques for classifying bounded ratios in finite cluster algebras using U-variables and binary geometries from scattering amplitude theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Algebraic Entropy in Combinatorial Dynamical Systems

Explore algebraic entropy in combinatorial dynamical systems, focusing on T-systems and R-systems. Discover classification results and connections to Cartan matrices and dynamical algebraic combinatorics.

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

Centre de recherches mathématiques - CRM

The Deep Locus of Cluster Varieties

Explore the deep locus of cluster varieties, focusing on finite types with full rank and specific infinite types. Gain insights into applications for homological mirror symmetry of Grassmannians.

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

Institut des Hautes Etudes Scientifiques (IHES)

Cluster Structures on Kinematic Spaces - Particle Scattering and Flag Varieties

Delve into advanced particle physics concepts, exploring cluster structures in kinematic spaces through spinor helicity formalism and momentum twistor coordinates for modeling massless particle scattering.

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

Centre International de Rencontres Mathématiques

Plabic Tangles and Cluster Promotion Maps

Explore plabic tangles and their connection to cluster promotion maps on Grassmannians through planar bipartite graphs and rational mappings.

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

NCCR SwissMAP

Cluster Structures on Partial Flag Varieties

Explore cluster structures on partial flag varieties through advanced mathematical analysis and geometric insights in this specialized algebraic geometry presentation.

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

International Mathematical Union

The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

Explore the positive Grassmannian and amplituhedron, delving into their combinatorial structures and connections to physics, integrable systems, and scattering amplitudes using oriented matroids, tropical geometry, and cluster algebras.

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

Harvard CMSA

Amplituhedra, Cluster Algebras, and Positive Geometry

Explore cutting-edge connections between amplituhedra, cluster algebras, and positive geometry in quantum field theory through expert lectures and collaborative discussions.

• YouTube
• 16 hours 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 2

Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.

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

ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 1

Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.

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

Isaac Newton Institute for Mathematical Sciences

Cluster Algebras and Related Notions - Kirk Lecture

Explore cluster algebras and related mathematical concepts through a single illustrative picture, connecting various fields and interpretations in this comprehensive lecture.

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

Institut des Hautes Etudes Scientifiques (IHES)

Reddening Sequences for Cluster Algebras

Explore reddening sequences in cluster algebras, their implications, and known cases, delving into finite dimensionality, invariants, and canonical bases.

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

Fields Institute

Cluster Algebras and Monotone Lagrangian Tori

Explore the connection between cluster algebras and monotone Lagrangian tori in this advanced mathematics talk, delving into complex geometric structures and algebraic relationships.

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