Prague Mathematical Physics Seminar Courses

Basic Curvature and Atiyah Cocycle in Algebroids and Sigma Models

Explore torsion and curvature tensors in algebroids, their derivation for differential graded manifolds, and applications in sigma models and BV theory.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Cubic and Non-cubic Dirac Operators - Applications in Algebraic and Differential Geometry

Explore algebraic Dirac operators, their cohomology, and generalizations. Discover applications in differential geometry through cubic and non-cubic variants of these mathematical constructs.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Twistors of Penrose and Their Generalizations

Explore spinorial representation, SL(2,C) isomorphism to Spin(1,3), and abstract indices notation. Delve into Penrose's twistor equation and its solutions in this advanced mathematical physics seminar.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Construction of Real-Time Local Quantum Field in 1+1 Dimensions

Explore real-time local quantum field construction in 1+1D using renormalization group techniques. Delve into lattice approximations, operator-algebraic formulations, and connections to algebraic quantum field theory.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Brouwer Fixed Point Theorem and Its Relationship with Other Topological Theorems

Exploración detallada del teorema del punto fijo de Brouwer y su conexión con otros teoremas topológicos, demostrando su importancia en la topología euclidiana.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Application of Integral Form Formalism to QFT and Supergravity

Explore integral forms in QFT and supergravity, from motivation to practical application. Learn about Poincare' dual forms and their role in constructing physical actions on supermanifolds.

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

Dirac Cohomology for Lie Superalgebras

Explore Lie superalgebras, cohomology, and Dirac operators, focusing on gl(m|n) case. Gain insights into advanced mathematical concepts and their interconnections in algebraic structures.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Moduli Spaces of Flat Connections, BV Formalism and the Goldman-Turaev Lie Bialgebra

Explore moduli spaces of flat connections, BV formalism, and Goldman-Turaev Lie bialgebra. Discover how these concepts interrelate and extend to superalgebras in this advanced mathematical physics seminar.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Higher Spins from Worldsheet

Explore higher spin states in string theory through asymmetrical OPE twisting. Learn to calculate 4-point amplitudes and discuss potential effective field theories for higher spins.

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

Color Kinematics Duality and Homotopy Algebras

Explore tree-level BCJ color-kinematics duality, double copy, and L-infinity algebras, leading to advanced insights on loop-level duality and BV-box algebra double copy.

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

Higher Differential Cohomology and Atiyah Connections - Part 2

Explore connections for principal bundles in higher categories, their relation to higher parallel transport, and splittings of generalized Atiyah sequences in advanced mathematical physics.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Differential Operators on Courant Algebroids, Dorfman Connections and the Atiyah Class

Explore differential operators on Courant algebroids, Dorfman connections, and the Atiyah class in this advanced mathematical physics seminar.

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

A Graded Geometric Perspective on Tensor Hierarchies

Explore graded geometric perspectives on tensor hierarchies, delving into mathematical physics concepts and their applications in advanced theoretical frameworks.

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

Rethinking Symmetries - From BF Theories to T Duality

Explore symmetries in physics, from BF theories to T duality, with insights on their fundamental role and applications in modern theoretical physics.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

On Generalised Ricci Flow for Courant Algebroids

Explore generalised Ricci flow for Courant algebroids, delving into advanced mathematical concepts and their applications in theoretical physics and geometry.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video