Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore advanced mathematical structures and their applications in theoretical physics through this comprehensive workshop featuring 35 specialized lectures from leading researchers. Delve into cutting-edge topics including double Lie bialgebroids, graded geometry constructions, homotopy reduction of multisymplectic structures, and the differential geometry of arithmetic U-duality. Examine twisted R-Poisson sigma models, deformation cohomology of tensor categories, nonassociative deformations, and multi-point Krichever-Novikov type algebras. Investigate BV-theories and loop homotopy algebras, classical BV actions of topological Dirac sigma models, string nets and universal RCFT correlators, and Koszul-Tate resolutions using decorated trees. Study local gauge theories as presymplectic gauge PDEs, geometric T-duality and Buscher rules, shifted Lagrangian groupoids, and traces in higher structures. Learn about hypersurface deformation structures in space-time models, BV quantization of noncommutative field theories, strong homotopy algebras for higher spin gravity, and 3D bosonization duality. Discover higher S-matrices and Poincaré duality for anomalous TQFTs, non-geometric T-duality from higher groupoid bundles, Lie algebroids on pre-multisymplectic manifolds, and the Batalin-Vilkovisky construction for finite spectral triples. Examine cohomology of nilpotent Leibniz algebras, exceptional generalized geometry, consistent truncations, double copy methods in Yang-Mills theory, and equivariant partition functions. Conclude with explorations of TED K-theory, cohomotopy moduli spaces, anyonic topological order, modular functors, factorization homology, Morita invariance of quasi-Poisson structures, and generalized Atiyah's theory of principal connections.
