
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.

Explore S-duality for boundary conditions from a mathematical perspective, delving into advanced concepts in geometry and physics.

Explore Gelfand-Cetlin analogues in integrable systems with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.

Explore the mathematical derivation of wave speed on a string, gaining insights into fundamental physics concepts and wave mechanics.

Explore algebraic varieties in N=8 black hole counting, bridging quantum gravity and algebraic geometry. Gain insights into the mathematical structure of black holes in supersymmetric theories.

Explore lattice recursions and their connection to integrability in mathematics, featuring insights from Jacques Hurtubise of McGill University.

Explore the mathematical concept of lifting torus actions to integrable systems, delving into advanced topics in Hamiltonian geometry and dynamical systems.

Explore quantum central limit theorem and related concepts in this advanced mathematics talk by Harvard's Arthur Jaffe, delving into cutting-edge research in quantum theory.

Explore quantum mechanics applications in physical systems, focusing on Hamiltonian geometry and quantization techniques for various phenomena in mathematical physics.

Explore Coulomb gas and lattice models in statistical physics, examining their properties, applications, and connections to other mathematical concepts.

Explore quantum tunneling phenomena in magnetic fields, examining their effects on particle behavior and potential applications in advanced physics and technology.

Explore key concepts in mathematical general relativity with Princeton's Igor Rodnianski, addressing common questions and demystifying complex topics in this engaging lecture.

Explore advanced concepts in hydrodynamic alignment with pressure, building on previous knowledge and delving into complex mathematical models and applications.

Explore hydrodynamic alignment with pressure in this advanced mathematical tutorial by Prof. Eitan Tadmor, delving into complex fluid dynamics concepts.

Explore how physics and mean curvature flow solve Plateau's problem, with applications in mathematics, soap films, and 3D graphics. Discover connections between minimal surfaces and active research areas.

Explore advanced concepts in supersymmetric gauge theories, focusing on Coulomb branches and bow varieties in 3-dimensional N=4 models with Hiraku Nakajima.

Explore orthosymplectic quiver gauge theories, focusing on Coulomb branches, Higgs branches, and integrable systems with expert Hiraku Nakajima.

Explore Coulomb branches in 3d N=4 supersymmetric gauge theories and their connection to bow varieties, covering key concepts, technical points, and applications in integrable systems.

Analyse mathématique des équations de Helmholtz inhomogènes dans les guides d'ondes, démontrant l'existence et l'unicité des solutions par des méthodes énergétiques pour des coefficients périodiques.

Explore advanced mathematical techniques for solving complex integrals and differential equations in parameter space with Lorenzo Magnea's insightful lecture.

Explore Landau singularities and asymptotic expansions in 2→2 scattering processes, delving into advanced concepts in particle physics and mathematical techniques.