NCCR SwissMAP Courses

Elliptic Curves and Meromorphic Modular Forms

1 rating

Explore the intricate relationship between elliptic curves and meromorphic modular forms in this advanced mathematical presentation from a leading researcher at MPIM Bonn.

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

An Introduction to Mathematical Logic

1 rating

Explore fundamental concepts of mathematical logic, including propositional calculus, first-order logic, and formal reasoning techniques.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Towards the Dual Amplituhedron

Explore the mathematical structure and geometric properties of the dual amplituhedron in this advanced physics research presentation.

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

Geometry of Non-Planar On-Shell Diagrams

Explore the geometric structure of non-planar on-shell diagrams and their mathematical properties in theoretical physics applications.

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

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

Chord Diagrams, the Global Schwinger Formula, and ϕp Amplitudes

Explore chord diagrams and their connection to the global Schwinger formula in quantum field theory, focusing on ϕp amplitude calculations and combinatorial structures.

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

Goncharov's Programme and Symmetries of Weight 6 Multiple Polylogarithms

Explore Goncharov's programme and discover the intricate symmetries within weight 6 multiple polylogarithms through advanced mathematical analysis and theoretical frameworks.

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

Cusp Forms and the Depth Filtration

Explore the intricate relationship between cusp forms and depth filtration in algebraic topology through advanced mathematical analysis and theoretical frameworks.

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

The Rognes Rank Spectral Sequence and Goncharov Program via E∞-Homology

Explore advanced algebraic topology through the Rognes rank spectral sequence and its connection to Goncharov's program using E∞-homology theory.

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

Symbol Alphabets in QCD and Flag Cluster Algebras

Explore the mathematical connections between symbol alphabets in quantum chromodynamics and flag cluster algebras in this advanced physics lecture.

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

Fun with Tits Buildings

Explore the fascinating world of Tits buildings and their applications in algebraic topology and group theory through engaging mathematical structures.

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

Amplituhedra and Origami

Explore the fascinating connections between amplituhedra and origami through advanced mathematical structures and positive geometry principles.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Canonical Differential Equations for Cosmology - Geometry and Combinatorics

Explore canonical differential equations in cosmology through geometric and combinatorial approaches with advanced mathematical frameworks and theoretical insights.

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

The Deformed Amplituhedron at Three Loops

Explore advanced geometric structures in quantum field theory through the deformed amplituhedron's three-loop mathematical framework and combinatorial properties.

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