Positive Grassmannian Courses and Certifications

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

International Centre for Theoretical Sciences

Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

Explore connections between scattering amplitudes and positive Grassmannians, covering on-shell diagrams, permutations, and cluster algebras. Gain insights into particle physics and mathematical structures.

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

Institute for Advanced Study

KP Solutions from Algebraic Curves and the Positive Grassmannian

Explore KP solutions derived from algebraic curves and the positive Grassmannian in this advanced mathematical talk by Yelena Mandelshtam.

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

Harvard CMSA

Positive Grassmannian and Cluster Algebras I

Explore the mathematical foundations of positive Grassmannian varieties and their deep connections to cluster algebra structures in this advanced lecture.

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

Harvard CMSA

Positive Grassmannian and Cluster Algebras III

Explore advanced connections between positive Grassmannian varieties and cluster algebras in this specialized mathematical lecture from Harvard CMSA's summer school.

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

Harvard CMSA

Positive Grassmannian and Cluster Algebras II

Explore advanced connections between positive Grassmannian geometry and cluster algebra structures in this specialized mathematical lecture from Harvard CMSA's summer school series.

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

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics of the Amplituhedron

Explore the amplituhedron's connections to cluster algebras, matroids, and combinatorics in this gentle introduction by Lauren Williams from Harvard University.

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

International Centre for Theoretical Sciences

Complete Monotonicity and Dual Volumes of Positive Geometries - Lecture 2

Delve into the mathematical aspects of positive geometries in scattering amplitudes, focusing on complete monotonicity and dual volumes in this advanced theoretical physics lecture.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Some Recent Progress on Amplitudes and Correlators

Explore recent advancements in scattering amplitudes and cosmological correlators, focusing on mathematical aspects, positive geometry, and connections between these theoretical physics fields.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Hidden Zeros and Splitting in the Associahedron

Delve into the mathematical aspects of scattering amplitudes and cosmological correlators, exploring hidden zeros and splitting in the Associahedron with Shruti Paranjape.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Positive Geometry In Cosmology - Lecture 1

Delve into the intersection of positive geometry, scattering amplitudes, and cosmological correlators in this theoretical physics lecture by Nima Arkani-Hamed.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Nonlinear Algebra for Physics - Lecture 2

Delve into the mathematical foundations of scattering amplitudes and cosmological correlators in this second lecture on nonlinear algebra for physics by Dmitrii Pavlov.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Correlahedron

Explore the Correlahedron concept with Paul Jonathan Heslop, part of a workshop connecting scattering amplitudes and cosmological correlators through positive geometry and mathematical structures.

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