Prague Mathematical Physics Seminar Courses

Nilpotence Varieties, Pure Spinors Superfields and Supersymmetry

Explore nilpotence varieties, pure spinors superfields, and supersymmetry in this advanced mathematical physics seminar by Simone Noja.

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

Families of Symmetries and the Hydrogen Atom

Explore symmetries in quantum mechanics and their application to the hydrogen atom, uncovering fundamental principles of atomic structure and quantum theory.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Jet Functors in Noncommutative Geometry

Explore jet functors in noncommutative geometry, delving into advanced mathematical concepts and their applications in theoretical physics.

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

Graded Jet Geometry - Part II

Explore advanced concepts in graded jet geometry, building upon foundational knowledge to delve into complex mathematical structures and their applications.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Graded Jet Geometry

Explore graded manifolds, vector bundles, and differential operators in jet geometry. Gain insights into advanced mathematical concepts for further study.

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

Cubic Dirac Operator for U_q(sl_2)

Explore quantum group theory and cubic Dirac operators, focusing on U_q(sl_2) generalization. Gain insights into special linear algebra sl(2) and its quantum counterparts.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

T-duality as a Courant Algebroid Relation - Part 2

Explore advanced T-duality concepts, including transverse generalized metrics, isometries, and compatible admissible splittings. Uncover existence conditions and equivalent statements in Courant algebroid relations.

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

T-duality as a Courant Algebroid Relation

Explore exact Courant algebroids, CA relations, and generalized metrics in this mathematical physics seminar, laying groundwork for Poisson-Lie T-duality discussions.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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 model 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 applications in differential geometry. Delve into Vogan's construction and its generalizations.

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

Twistors of Penrose and Their Generalizations

Explore spinorial representations, SL(2,C) isomorphism, and Penrose's twistor equation 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+1-dimensions using renormalization group techniques and operator-algebraic formulations, avoiding imaginary-time settings.

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

Brouwer Fixed Point Theorem and Its Relationship with Other Topological Theorems

Explore the Brouwer fixed point theorem's connections to Euclidean topology, with proofs and explanations of related topological results.

• 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 application in constructing physical actions using Poincare' dual forms and 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 and connections between Lie algebra and Dirac cohomology.

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