Amplituhedron Courses and Certifications

Harvard CMSA

Scattering Amplitudes, Positive Geometry and the Amplituhedron

Delve into advanced quantum field theory concepts, exploring scattering amplitudes, positive geometry, and amplituhedron in N=4 super Yang-Mills theory with focus on Grassmannian cluster algebras.

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

Harvard CMSA

The Magic Number for the M=2 Amplituhedron

Delve into advanced mathematical concepts exploring amplituhedron tilings, focusing on the m=2 case and its consistent cardinality properties across different configurations.

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

Harvard CMSA

Amplituhedron - From Positive Grassmannian to Scattering Amplitudes

Dive into the mathematical foundations of Amplituhedron, exploring its relationship with positive Grassmannian geometry and scattering amplitudes in theoretical physics through expert insights.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Harvard CMSA

The Tropical Amplituhedron - Structure and Boundaries in Quantum Field Theory

Explore the groundbreaking tropical amplituhedron concept and its role in quantum field theory calculations, focusing on its structure, boundaries, and relationship to positive Grassmannian.

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

Harvard CMSA

The Hypersimplex and the m=2 Amplituhedron - Mathematical Correspondences and Decompositions

Delve into advanced mathematical concepts exploring the relationship between hypersimplex and m=2 amplituhedron, focusing on decompositions, matroidal subdivisions, and Eulerian-number chambers.

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

NCCR SwissMAP

Taking the Amplituhedron to the Limit

Explore advanced mathematical structures in theoretical physics through amplituhedron geometry and its limiting behaviors in this specialized research presentation.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Amplituhedron for IR Finite Amplitudes - Lecture 2

Delve into the mathematical framework of the Amplituhedron for infrared finite amplitudes in this advanced theoretical physics lecture by Jaroslav Trnka, exploring connections between scattering amplitudes and positive geometry.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Amplituhedron for IR Finite Amplitudes - Lecture 1

Delve into the mathematical framework of the Amplituhedron for infrared finite amplitudes in this theoretical physics lecture by Jaroslav Trnka, exploring connections between scattering amplitudes and positive geometry.

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

International Centre for Theoretical Sciences

A Mathematical Introduction to the Amplituhedron - Lecture 2

Delve into the mathematical foundations of the Amplituhedron in this second lecture by Melissa Sherman-Bennett, exploring positive geometry concepts in scattering amplitudes and their connections to cosmological correlators.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

A Mathematical Introduction to the Amplituhedron - Lecture 1

Dive into the mathematical foundations of the Amplituhedron in this first lecture by Melissa Sherman-Bennett, exploring positive geometry concepts in scattering amplitudes and their connections to cosmological correlators.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Cluster Algebras and the Amplituhedron - Definition - Lecture 1

Explore cluster algebras and the amplituhedron definition with Lauren K. Williams in this advanced mathematics conference talk from CIRM's Audiovisual Mathematics Library.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Geometry of the Amplituhedron

Explore the amplituhedron's geometric properties, connections to various mathematical fields, and recent progress on key conjectures in this advanced mathematical lecture.

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

Institute for Advanced Study

Combinatorics and Geometry of the Amplituhedron

Delve into the mathematical foundations of the amplituhedron, exploring its combinatorial structures and geometric properties through advanced theoretical physics concepts and applications.

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

Harvard CMSA

Surface Kinematics and the All-Loop Integrand for Gluon Amplitudes

Dive into advanced theoretical physics as Nima Arkani-Hamed explores surface kinematics and gluon amplitude integrands, examining cutting-edge developments in quantum field theory and particle physics.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Harvard CMSA

Summer School in Total Positivity and Quantum Field Theory

Explore cutting-edge connections between total positivity, matroid theory, and quantum field theory through amplituhedra, cluster algebras, and scattering amplitudes in physics.

• YouTube
• 12 hours 55 minutes
• Self-Paced
• Free Video