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.
Supersymmetry and Trace Formulas: From Atiyah-Singer to Jacobi-Poisson and Selberg - Part 1
Explore supersymmetry's mathematical origins and applications, from Atiyah-Singer formula to Jacobi-Poisson and Selberg trace formulas, in this advanced mathematics colloquium.
Combinatorial Approximations to the Continuum for Fluid Computation
Explore combinatorial approximations in fluid computation, featuring insights from Dennis Sullivan and Ruth Lawrence-Naimark in this geometry and analysis workshop.
From the Monge Transportation Problem to Einstein's Gravitation Through Euler's Hydrodynamics
Explore the mathematical journey from Monge's transportation problem to Einstein's gravitation, connecting through Euler's hydrodynamics in this insightful lecture.
Non-uniqueness in the Partial Differential Equations of Fluid Dynamics
Explore instability and non-uniqueness in fluid dynamics equations, focusing on recent advancements in Euler and Navier-Stokes equations and their implications for unpredictability.
Geometry of Shock Formation and Maximal Development for Euler
Explore the geometry of shock formation and maximal development in Euler equations, focusing on fluid flow analysis and honoring David Ebin's contributions.
Emergent Singular Solutions of Nonlinear Wave Equations
Explore nonlinear wave equations and their emergent singular solutions with Imperial College London's Darryl Holm in this advanced mathematics workshop.
Stability of Twisting of Hamiltonian Flows and Applications
Explore Hamiltonian flow stability, twisting phenomena, and their applications in fluid dynamics with insights from Duke University researcher Tarek Elgindi.
Modular Forms and String Theory - Lecture 1
Explore the intricate connection between modular forms and string theory in this advanced physics lecture, delving into mathematical foundations and theoretical applications.
State Sum Homotopy QFTs
Explore state sum homotopy quantum field theories with Alexis Virelizier, delving into advanced mathematical concepts and their applications in theoretical physics.
Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 3
Explore advanced mathematical concepts including surjective submersions, bundle gerbes, group cohomology, and their applications in this in-depth lecture by Peter Bouwknegt.
BV Formalism in Perturbative Algebraic Quantum Field Theory - Lecture 2
Explore advanced concepts in quantum field theory, focusing on BV formalism and its applications in perturbative algebraic approaches. Gain insights from expert Kasja Rejzner.
Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 2
Explore advanced mathematical concepts including surjective submersions, bundle gerbes, and group cohomology, with insights into their applications in theoretical physics.
An Introduction to the BV-BFV Program - Part 3
Explore advanced concepts in mathematical physics with Pavel Mnev's in-depth lecture on the BV-BFV program, focusing on its applications and theoretical foundations.
BV Formalism in Perturbative Algebraic Quantum Field Theory - Part 1
Explore the BV formalism in perturbative algebraic quantum field theory with Kasja Rejzner. Gain insights into advanced mathematical techniques for understanding quantum field theories.
BV Formalism in Perturbative Algebraic Quantum Field Theory - Part 3
Explore advanced concepts in quantum field theory, focusing on BV formalism and its applications in perturbative algebraic approaches. Gain insights from expert Kasja Rejzner.
An Introduction to the BV-BFV Program - Part 2
Explore the BV-BFV program's foundations and applications in quantum field theory, focusing on key concepts and mathematical frameworks.
A Skein Theoretic Approach to CFT Correlators - Part 1 of 3
Explore complex CFT, vertex algebras, and algebraic structures in this comprehensive lecture on skein theoretic approaches to correlators in conformal field theory.
An Introduction to the BV-BFV Program - Part 1
Explore the BV-BFV program's foundations, including BV action, BRST operator, quantization, and Poisson brackets in this comprehensive lecture by Pavel Mnev.
BV-Infinity Quantization of (-1)-Shifted Derived Poisson Manifolds
Explore advanced mathematical concepts in derived geometry, focusing on BV_∞ quantization techniques for (-1)-shifted derived Poisson manifolds with expert Ping Xu.