Frame PB-Groupoid of a VB-Groupoid
Explore properties of special principal bundles, focusing on frames of VB-groupoids and their relation to geometric connections and structures on Lie groupoids.
From AGT Conjecture to Cohomological Hall Algebras
Explore the connection between AGT Conjecture and Cohomological Hall Algebras in this advanced mathematical lecture by Francesco Sala, delving into complex algebraic structures and their applications.
Introduction to Non-Commutative Geometry - Lecture 3
Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 1
Explore advanced mathematical concepts including surjective submersions, bundle gerbes, and group cohomology, with insights into their applications in theoretical physics.
Quillen Metrics and Applications - Part 1
Explorez les métriques de Quillen et leurs applications dans cette conférence approfondie sur les cartes jaugées, les vortex et leurs moduli.
A-Infinity Functor in Symplectic Geometry and Gauge Theory
Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.
Smoothing by Ricci-DeTurck Flow and Applications to Scalar Curvature
Explore Ricci-DeTurck flow's existence theory for non-smooth initial metrics and its applications to scalar curvature rigidity problems in geometry.
A Tour of Monopole Floer Spectra - Part 3
Explore advanced concepts in monopole Floer spectra, delving into complex mathematical theories and their applications in topology and geometry.
A Tour of Monopole Floer Spectra - Part 2
Explore advanced concepts in monopole Floer spectra, delving into mathematical intricacies and theoretical applications in topology and geometry.
A Tour of Monopole Floer Spectra - Part 1
Explore monopole Floer spectra theory with insights from Matthew Stoffregen of Michigan State University in this comprehensive mathematical lecture.
S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.
Moduli of G-bundles as a Quotient by the Gauge Group - Talk 6
Delve into complex geometric theory of holomorphic G-bundles, exploring connections, gauge transformations, and symplectic quotients through the Kempf-Ness Theorem and Yang-Mills functional analysis.
Origins of the Laws of Nature - Peter Atkins
Explore the origins of fundamental laws of nature, from thermodynamics to quantum mechanics. Peter Atkins argues that the universe's complexity arose from very little, challenging our understanding of reality's foundations.
Quantization, Gauge Theory, and the Analytic Approach to Geometric by Edward Witten
Explore quantization, gauge theory, and geometric analysis with renowned physicist Edward Witten in this advanced lecture on the intersection of quantum field theory and geometric representation theory.
Branes and Quivers in String Theory - Lecture 1
Explore connections between string theory, branes, and quivers. Learn about spatial dimensions, brain setups, Coulomb branches, and moduli spaces in this advanced theoretical physics lecture.
Cosmological Perturbation Theory - Lecture 2
Explore advanced concepts in cosmological perturbation theory, including metric perturbations, gravitational waves, and gauge transformations. Gain insights into various gauge choices and their implications for understanding the early universe.
Quantum Phases of Matter - Non-perturbative Luttinger Relations
Explore non-perturbative Luttinger relations in quantum matter, focusing on Anderson and Kondo lattice models, with insights from Subir Sachdev on advanced theoretical concepts.
Aspects of De Sitter Space - Lecture 3
Explore advanced concepts in de Sitter spacetimes, including quantum aspects, dS/CFT correspondence, and higher spin theories. Gain insights into cosmological horizons and their unique properties.
Variational Wavefunctions, Machine Learning Architecture for Fermions and Gauge Theories
Explore machine learning architectures for variational wavefunctions in fermion and gauge theory systems, focusing on preserving symmetries and achieving accurate results in quantum mechanics.
Quantum Field Theory of Exotic Systems - IPAM at UCLA
Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.