
Explore Virasoro and W-algebra constraints in topological recursion, Kontsevich-Soibelman operators, and their connection to Conformal Field Theory in this advanced mathematics lecture.

Explore toroidal shifted algebras and deformed W-algebras, focusing on extensions of Bershadsky-Polyakov type algebras in quantum symmetries.

Explore affine W-algebras construction via quantum Hamiltonian reduction. Delve into vertex algebra theory, Virasoro minimal models, and tensor categories of W-algebra representations.

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures in quantum algebra and integrable systems.

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.

Delve into advanced mathematical concepts of vertex operator algebras, screening methods, W-algebras, and their applications in geometric Langlands theory and integrable systems with Boris Feigin.

Explore W-algebras and Bethe ansatz techniques in two-dimensional conformal field theory, uncovering their intricate connections and applications in theoretical physics.

Explore gauge origami and quiver W-algebras with Taro Kimura, delving into advanced mathematical concepts and their applications in theoretical physics.

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.

Explore the unification of Cencov's and Petz's theorems through W*-algebra formulations of classical and quantum information geometry.

Explore infinite algebras and intertwining networks in Calogero models, focusing on symmetric observables, W algebras, and newly discovered vertical intertwiners for multi-particle systems.

Explore Bethe ansatz equations in 2D conformal field theory, examining their relation to W algebras and affine Yangian symmetry. Gain insights into quantum integrability beyond Virasoro algebra.

Explore Koszul duality in quantizations of bionic symplectic varieties, focusing on localization theorems, DQ-modules, and geometric category O. Gain insights into recent advancements in filtered Koszul duality.

Delve into advanced representation theory, exploring Whittaker reduction, finite W-algebras, and their connection to Lie algebras through geometric and algebraic perspectives.

Delve into advanced mathematical concepts of Slodowy slices, nilpotent orbits, and finite W-algebras, exploring their construction, Poisson structures, and quantization methods in semisimple Lie algebras.

Delve into advanced mathematical concepts of semi-infinite cohomology, exploring W-algebras through BRST resolution and discovering connections to Tate Lie algebra and Zhu's algebra theory.

Delve into advanced mathematical concepts exploring W-algebras, Whittaker categories, and Kac-Moody algebras, with applications in affine Skryabin theorem and categorical Feign Frenkel duality.