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.
In Search of Euler Equilibria via the Magnetic Relaxation Equations
Explore geometric fluid dynamics, focusing on Euler equilibria and Moffatt's Magnetic Relaxation equations. Delve into recent findings on these mathematically challenging active vector equations with cubic nonlinearity.
Can a Scalar Conservation Law Imitate a Diffeomorphism? - Lecture on Fluid Flow Geometry
Explore the representation of scalar convex conservation laws as paths in diffeomorphism spaces, examining weak solutions and their implications for fluid dynamics.
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.
The Resurgence of the Plateau in SJT Gravity
Explore the resurgence of the plateau in SJT Gravity, delving into advanced concepts and recent developments 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.
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.
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.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 3
Explore WRT invariants, Resurgence conjecture, and Teichmüller TQFT in quantum Chern-Simons theory, with detailed examples and new formulations.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 2/3
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT, with detailed examples and discussions.
The Resurgent Structure of Topological Strings
Explore the resurgent structure of topological strings through trans-series solutions of holomorphic anomaly equations, examining Borel singularities and alien derivatives in Calabi-Yau manifolds.
Mathematical General Relativity - Seventy-Two Years after Yvonne Choquet-Bruhat's Foundational Acta Paper
Explorez les avancées majeures en relativité générale mathématique depuis l'article fondateur d'Y.C. Bruhat, en examinant son impact durable sur le domaine.
On the Canonical Geometric Structure of Initial Data for the Einstein Equations
Explore recent advancements in geometric foliations of asymptotically flat Riemannian manifolds and their connection to effective versions of the positive mass theorem. Delve into Schoen's conjecture and its implications.
Spacetime Harmonic Functions and Applications in Positive Mass Theorems and Comparison Geometry
Explore recent developments in level set techniques for elliptic equations, focusing on spacetime harmonic functions and their applications to positive mass theorems and comparison geometry.
Emergence of Diffeomorphism from Quantum Field Theory
Exploring the potential emergence of diffeomorphism from quantum field theory, delving into fundamental concepts at the intersection of quantum mechanics and general relativity.
Lifting Torus Actions to Integrable Systems
Explore the mathematical concept of lifting torus actions to integrable systems, delving into advanced topics in Hamiltonian geometry and dynamical systems.
Trading Linearity for Ellipticity: A Nonsmooth Approach to Einstein's Theory of Gravity and the Lorentzian Splitting Theorems
Explore nonsmooth approaches to Einstein's gravity theory and Lorentzian splitting theorems, focusing on trading linearity for ellipticity in geometric analysis.
Things You Always Wanted to Know About Mathematical General Relativity
Explore key concepts in mathematical general relativity with Princeton's Igor Rodnianski, addressing common questions and demystifying complex topics in this engaging lecture.