Lie Groups and Quantization - Lecture 2
Delve into advanced mathematical concepts of Lie groups and their applications in quantization through rigorous theoretical exploration and practical examples.
Lie Groups and Quantization - Lecture 5
Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.
Lie Groups and Quantization - Lecture 6
Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.
Lie Groups and Quantization - Lecture 4
Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.
Lie Groups and Quantization - Lecture 3
Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.
Lie Groups and Quantization - Lecture 1
Delve into fundamental concepts of Lie groups and their applications in quantization through advanced mathematical exploration and theoretical frameworks in graduate-level mathematics.
Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.
Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras
Delve into vertex algebras, exploring Heisenberg, Kac-Moody, and Virasoro structures while understanding their connections to affine W-algebras and Zhu algebra fundamentals.
Representation Theory for Finite W-algebras
Delve into advanced representation theory, exploring Whittaker reduction, finite W-algebras, and their connection to Lie algebras through geometric and algebraic perspectives.
Construction of Finite W-algebras and Slodowy Slice Quantization
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.
The Global Hecke Action - Talk 41
Delve into geometric Satake theory and explore how Rep(G^vee) actions on BunG sheaves integrate into global Hecke modifications, with applications in Betti, de Rham, and étale settings.
Moduli Spaces of Local Systems in Algebraic Varieties
Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.
Lie Groups and Quantization - Lecture 16
Delve into advanced mathematical concepts exploring Lie groups and quantization theory, focusing on their interconnections and applications in theoretical physics and geometry.
Zeroes of Characters
Delve into advanced mathematical concepts exploring character theory and their zeroes, featuring insights from Serre's paper and Deligne's related mathematical discoveries.
Lie Groups and Quantization - Lecture 15
Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous theoretical exploration and practical examples.
Counting Representations of Fuchsian Groups Over Finite Fields
Delve into advanced mathematical concepts exploring representation theory of Fuchsian groups, character bounds, and their applications in high-dimensional classical groups and Zariski-dense subgroups.
Proof of the Geometric Langlands Conjecture
Delve into advanced mathematical concepts exploring the Geometric Langlands Conjecture, including de Rham, Betti, and l-adic contexts, presented by Dennis Gaitsgory with collaborative insights.
Representation Theory of Affine Lie Algebras - Talk 22
Delve into advanced representation theory of affine Lie algebras, exploring central characters, Harish-Chandra homomorphism, Segal-Sugawara operators, and vertex operator algebras at critical level.
A Lévy-Khintchine Formula for SUq(N)
Explore the Lévy-Khintchine formula for SUq(N) in quantum mathematics, delving into advanced concepts and their applications in mathematical physics.
Modular Invariants of Compact Quantum Groups
Explore modular invariants of compact quantum groups, delving into advanced mathematical concepts and their applications in quantum theory.
Compact and Discrete Quantum Groups
Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.