Harvard CMSA Courses

Loops in a Loop Expansion - A Framework for Negative Geometries

Delve into advanced quantum field theory concepts, exploring loop expansions in N=4 SYM theory, amplituhedron construction, and differential equation methods for calculating integrated expressions.

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

Minimal Kinematics on M₀,n and Beyond

Explore the intersection of Minimal and Planar Kinematics in moduli spaces, examining critical points through rational formulas and their connection to polytopes and CEGM amplitudes.

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

Cosmological Polytopes and Beyond - From Bunch-Davies Wavefunctions to Optical Polytopes

Explore fundamental physics through cosmological polytopes, examining Bunch-Davies wavefunctions and their role in scalar theories, optical polytopes, and weighted geometries.

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

Cluster Algebras and Tilings of Amplituhedra

Explore the mathematical connections between cluster algebras and amplituhedra tilings, focusing on BCFW tilings and their relationship to Grassmannian structures in physics.

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

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
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Geometric Transition from Maximal SYM to ABJM Theory

Explore the geometric transition between theoretical models, focusing on ABJM amplituhedron construction, symplectic reduction, and positivity conditions in quantum field theories.

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

Introduction to Cluster Algebras

Explore the foundations of cluster algebras, their combinatorial structures, and connections to mathematics and physics, including positivity theory and Grassmannian coordinate rings.

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

Scattering Amplitudes and Cluster Algebras

Explore the intricate relationship between cluster algebras and scattering amplitudes in N=4 super Yang-Mills theory, focusing on 6 and 7 particle cases and their Grassmannian structures.

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

U-Equations from Finite Dimensional Algebras - Applications in Cluster Algebras and Amplitudes

Explore finite dimensional algebra systems and their applications in representation theory, focusing on u-equations, tau-tilting theory, and connections to cluster algebras and amplitudes.

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

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
• On-Demand
• Free Video

Chambers and All Loop Geometry for Four-Point Correlators in N=4 SYM Theory

Delve into advanced theoretical physics concepts exploring loop geometry, amplituhedron, and four-point correlators in N=4 SYM theory, with focus on chamber forms and loop fibration.

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

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

All-Order Splits and Multi-Soft Limits for Particle and String Amplitudes

Delve into advanced particle physics concepts, exploring split factorizations, binary geometry, and multi-soft limits in scattering amplitudes across various theoretical frameworks.

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

Introduction to Affine Cluster Algebras

Delve into affine cluster algebras, exploring their infinite clusters, mutation sequences, and connections to finite cluster algebras and N=4 SYM amplitude calculations in particle physics.

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