Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024
Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.
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.
P-Form Symmetries in Functorial Quantum Field Theory
Explore p-form symmetries in functorial quantum field theory, focusing on implementing finite group global and gauged symmetries in TQFT using cohomology-decorated bordisms.
Riemann, Topology and Physics - Lecture 1
Explore interdisciplinary connections between Riemann geometry, topology, and physics in this doctoral-level lecture by Renzo Ricca at Beijing Institute of Technology.
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.
Plumber's Algebra Structure on Symplectic Cohomology
Delve into advanced symplectic geometry concepts, exploring Plumber's PROP structures, nodal Riemann surfaces, and their applications to cohomological field theories and curve counting methods.
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.
Compact Holonomy G2 Manifolds Need Not Be Formal
Delve into advanced mathematical concepts exploring why compact holonomy G_2 manifolds may not exhibit formality, challenging previous conjectures about special and exceptional holonomy manifolds.
Análise em Variedades - Aula 22
Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplica ções em geometria diferencial.
Graded Vector Bundles as Graded Manifolds
Dive into advanced mathematical concepts exploring the relationship between graded vector bundles and graded manifolds through rigorous theoretical analysis and demonstrations.
Algebraic Torsion of Concave Boundaries of Linear Plumbings
Delve into advanced symplectic geometry concepts, focusing on algebraic torsion in contact manifolds and its applications to understanding topological complexity through curve counting methods and Floer theories.
Análise em Variedades - Aula 21
Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial.
Higher Symmetries in Quantum Field Theory from String Theory
Explore higher symmetries in quantum field theory through string theory on singular special holonomy spaces. Uncover their origins and implications in compact spaces and F-theory duals.
Mass-Capacity Inequalities and Their Implications in Asymptotically Flat Manifolds
Explore mass-capacity inequalities in asymptotically flat manifolds, their sharp lower bounds, and applications in Riemannian geometry and general relativity.
Learning Manifold-Structured Data Using Deep Neural Networks - Theory and Applications
Explore deep neural networks' ability to learn geometric data structures using multi-chart latent spaces and Chart Auto-Encoders, with theoretical foundations and practical applications.
Partial Entanglement Network and Geometry Reconstruction in AdS/CFT
Explore partial entanglement entropy geometrization in AdS/CFT, examining PEE threads, network formation, and bulk geometry reconstruction using novel approaches.
Geodesic Flow on Surfaces Without Conjugate Points - Part 2
Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, delving into complex dynamics and geometric concepts.
Geodesic Flow on Surfaces Without Conjugate Points - Part 3
Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, focusing on dynamics and geometric analysis.
Geodesic Flow on Surfaces Without Conjugate Points - Part 1
Explore geodesic flow on surfaces without conjugate points in this advanced mathematics lecture. Delve into complex geometric concepts and their applications in surface dynamics.
Flexibility Ideas for Geodesic Flow
Explore innovative concepts in geodesic flow flexibility, uncovering dynamic approaches and mathematical insights for advanced understanding.
On the De-Singularization of the Biot-Savart Law and Vortex Reconnection - Lecture 4
Explore advanced concepts in topological vortex dynamics, focusing on de-singularization of the Biot-Savart Law and vortex reconnection in this advanced lecture.