T-duality Courses and Certifications

IMSA

T-Duality With Fixed Points

Explore T-duality's mathematical framework, focusing on symmetries between quantum field theories and its application to torus actions with fixed points using elliptic tangent bundles.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

T-Duality and Generalized G_2 Structures

Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering new insights into manifold structures and their properties.

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

IMSA

T-Duality and Generalized G_2 Structures

Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering insights into manifolds with unique geometric properties.

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

Galileo Galilei Institute

T-duality for Torus Actions with Fixed Points

Explore T-duality in torus actions with fixed points, examining mathematical concepts and their applications in theoretical physics and geometry.

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

Prague Mathematical Physics Seminar

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 mathematical physics.

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

Prague Mathematical Physics Seminar

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

Prague Mathematical Physics Seminar

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

Harvard CMSA

Graded T-duality with H-flux for 2D Sigma Models

Delve into T-duality transformations in string theory, exploring graded maps and their applications to twisted cohomology in dual spacetimes, with focus on 2D sigma models and double loop spaces.

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

IMSA

T-Duality with Fixed Points - A Differential Geometric Approach

Explore T-duality's mathematical history, successes, and challenges, focusing on a new differential geometric approach to log-geometry for handling fixed points in torus actions.

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

IMSA

Spherical T-Duality Meets Exotic Spheres and Homotopy Hopf Manifolds

Explore spherical T-duality, its relation to 7-dimensional homotopy spheres, and implications for complex structures on exotic manifolds in this advanced mathematical discussion.

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

IMSA

Milnor Spheres via Spherical T-duality and Generalized Log Transform

Explore the connections between Spherical T-duality, exotic spheres, and generalized log transform in geometric topology, focusing on 7-dimensional homotopy spheres and their holomorphic structures under various transformations.

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

IMSA

Spherical T-duality and Generalized Log Transform - Applications to Generalized Hopf Manifolds

Explore spherical T-duality and its connection to generalized log transform, with applications to generalized Hopf manifolds. Gain insights into advanced mathematical concepts and their interrelations.

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

Physics Explained

How Hidden Dimensions Actually Work

Discover how extra spatial dimensions beyond our familiar three could exist as compact, curled-up spaces too small to detect, and explore their role in string theory.

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

BIMSA

Degeneration, Geometry and Duality in String Theory

Explore generalised T-dualities in string theory, focusing on type I' and IIA duality, SYZ interpretation of mirror symmetry, and geometric duals of strong-coupling phenomena.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Infinite Distances, Scalar Potential, and Non-Geometry in String Theory - Thomas Raml

Explore infinite distances in parameter space, T-duality, and curved internal spaces. Examine divergent potentials and their relation to pathological infinite distance points in string theory.

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