Quantum Ricci Curvature and Quantum Gravity
Explore quantum Ricci curvature's role in quantum gravity theories, examining its implications for spacetime structure and gravitational interactions at the quantum level.
The Ground on Which We Stand
Explore the foundations of mathematical relativity, scalar curvature, and synthetic Lorentzian geometry in this thought-provoking lecture by Fay Dowker from Imperial College London.
Almost Schur Lemma and Positivity Conditions in Quaternionic Contact Geometry
Explore quaternionic contact geometry, focusing on the Almost Schur Lemma and its implications for estimating qc scalar curvature under specific conditions.
Symmetric Approach to General Relativity - Applications to Exotic Spheres
Exploring Cheeger deformation to derive Lorentzian metrics on spheres and exotic spheres, with implications for physics and geometry in compact models of spacetime.
Gauge Theory and Low Dimensional Topology - Conference Lecture
Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.
Gauge Theory and Low Dimensional Topology
Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.
On a High Dimensional Generalization of Seifert Fibrations
Explore high-dimensional generalizations of Seifert fibrations, extending classical concepts to modern topological structures and manifolds.
Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program
Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.
Floer Theory and Quantum Groups
Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.
Spherical T-duality and Generalized Log Transform - Applications to Generalized Hopf Manifolds
Explore spherical T-duality and its connection to generalized log transform, with applications to generalized Hopf manifolds. Gain insights into advanced mathematical concepts and their interrelations.
Spinor-valued Higgs Bundles - Theory and Applications
Explore spinor-valued Higgs bundles with Nigel Hitchin, examining their unique properties and implications for Riemann surface geometry. Gain insights into Dirac equations and vector bundle theory.
Quasi-local Black Hole Horizons - Lecture 5
Explore quasi-local black hole horizons in this advanced lecture on gravitational physics, focusing on dynamical horizons and their applications in understanding compact objects.
T-Duality with Fixed Points - A Differential Geometric Approach
Explore T-duality's mathematical history, successes, and challenges, focusing on a new differential geometric approach to log-geometry for handling fixed points in torus actions.
Manin Pairs and Moment Maps Revisited
Explore advanced concepts in Hamiltonian geometry, focusing on Manin pairs and moment maps, with insights from University of Toronto's Eckhard Meinrenken.
Dynamical Horizons and their Applications - Lecture 2
Explore dynamical horizons in gravitational physics, focusing on applications and recent developments in black hole research and gravitational wave observations.
Gaussian Free Field and Schramm-Loewner Evolution - Part 2
Explore Gaussian free field and Schramm-Loewner Evolution in random geometry. Discover connections between these canonical objects and their applications in statistical physics and conformal field theory.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.
Hitchin Systems - An Introduction to Complex Geometric Structures
Explore Hitchin systems with Marina Logares, delving into their mathematical properties and applications in algebraic geometry and theoretical physics.
Capacity in Low Regularity with Connections to General Relativity
Explore capacity in metric spaces, its behavior under convergence, and connections to general relativity's total mass concept.
The Nonlinear Stability of Black Holes: An Overview
Explore the mathematical properties of black holes, focusing on their stability as solutions to Einstein's equation and recent proof of nonlinear stability for slowly rotating Kerr black holes.
Supersymmetry and Trace Formulas: From Atiyah-Singer to Jacobi-Poisson and Selberg
Explore supersymmetry's mathematical origins and applications, from Atiyah-Singer formula to Jacobi-Poisson and Selberg trace formulas, in this advanced mathematics colloquium.