Instability and Non-uniqueness for the Euler and Navier-Stokes Equations
Explore recent advances in non-unique solutions for incompressible Navier-Stokes and Euler equations, including groundbreaking work on forced Navier-Stokes equations' non-uniqueness.
Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 1
Explore recent advances in classifying gapped lattice systems and their implications for quantum matter phases, focusing on Short-Range Entangled phases and higher Berry classes.
The Quartic Integrability and Long Time Existence of Steep Water Waves in 2D
Explore advanced mathematical analysis of 2D water waves, focusing on quartic integrability and long-term existence of steep waves in infinite depth scenarios.
The Nonlinear Stability of Slowly Rotating Kerr Black Holes
Explore nonlinear stability of slowly rotating Kerr black holes through joint research findings, delving into advanced astrophysical concepts and mathematical models.
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.
High Frequency Gravitational Waves and Einstein Equations with U(1) Symmetry
Explorez les travaux d'Yvonne Choquet-Bruhat sur les ondes gravitationnelles à haute fréquence et les solutions cosmologiques des équations d'Einstein avec symétrie U(1).
Macdonald Dualities in Genus One and Two
Explore Macdonald/Koornwinder polynomial dualities, from spherical Double Affine Hecke Algebra on a torus to genus two Macdonald theory, with Philippe Di Francesco.
Categorified Crystal Bases on Localized Quantum Coordinate Rings
Explore categorified crystal bases on localized quantum coordinate rings, focusing on monoidal categories, quiver Hecke algebras, and crystal structures in quantum algebra.
New Initial Approximation in Loop Vertex Expansion for Quartic Matrix Models
Explore advanced techniques in Loop Vertex Expansion for QFT models, focusing on analytic continuation of free energy in quartic matrix models beyond standard cardioid domains.
Tensor Models: From Matrix Models to Holography
Explore tensor models as a generalization of matrix models in quantum field theory, focusing on large N limit and double scaling mechanisms, with applications to holography.
What Perturbative Field Theory Teaches Us About Statistical Analysis
Explore perturbative field theory's applications in particle physics, statistical mechanics, and functional analysis, focusing on divergence regularization and optimal transportation.
Fock Spaces Associated with Coxeter Groups of Type B
Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.
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.
The Gap Between Theory and Experience: Evolution of a Problem from Catastrophe Theory to Semiophysics
Explore catastrophe theory's evolution from Thom's morphogenesis models to semiophysics, examining the role of Waddington's epigenetic landscape and challenging views on scientific analogies.
Louis Michel and the Renormalization Group
Explore the impact of Louis Michel's work on renormalization group theory in physics, presented by renowned scientist Slava Rychkov.
Resurgence in Integrable Field Theories - Lecture 3
Explore resurgent properties of integrable field theories, focusing on UV-free theories with mass gaps and 1/N expansions. Analyze free energy with chemical potential using Bethe ansatz and large N methods.
Unlocking Software-Defined Vehicles - A Deep Dive into Automotive Software
Explore challenges and solutions for secure automotive software integration, featuring insights from Canonical and Elektrobit's partnership on SDV development.
Vector Formulas in Physics
Comprehensive guide to essential vector formulas in physics, covering components, addition, and applications like electric fields. Includes formula sheet and additional resources for in-depth study.
Connecting Local Group Substructure with the First Galaxies Through Simulations
Exploring connections between Local Group substructure and early galaxies using simulations, bridging near-field and deep-field observations to understand cosmic dawn.
New Insight into Early Massive Stars from Local Metal-Poor Dwarf Galaxies
Explore insights on early massive stars through local metal-poor dwarf galaxies. Discover connections between near-field observations and cosmic dawn, enhancing our understanding of the universe's early stages.