
Exploring physics beyond fundamental laws: designing new forms of matter and addressing Anthropocene challenges. Insights into the evolving landscape of physics research and its societal implications.

Explore black holes with Nobel Laureate Roger Penrose, discussing their discovery, mathematical foundations, and impact on physics. Delve into relativity, spacetime, and the groundbreaking 1965 theorem.

Explore a mathematical lecture on p-adic approaches to differential equations in this first installment of a series presented by Masha Vlasenko. Delivered as part of the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at…

Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.

Explore upper and lower bounds for eigenvalues of semi-bounded Schrödinger operators, focusing on atomic Hamiltonians with Kato potentials and the landscape function in all spatial dimensions.

Delve into Yudovich Theory for rough path perturbations of Euler's equation in this advanced lecture by Torstein Nilssen, exploring mathematical aspects of fluid flow equations and recent developments in the field.

Dive into linear BV quantization as a functor of infinity categories, exploring advanced mathematical concepts in this Prague Mathematical Physics Seminar.

Explore advanced concepts in geometry and physics, focusing on derived moduli spaces of Hermitian-Einstein connections in this seminar by Dennis Borisov.

Dive into stochastic processes and Yang-Mills theory with Martin Hairer's talk on building a process admitting the 3D Yang-Mills measure as its invariant measure, exploring gauge-covariance and UV regularization.

Dive into nonlinear harmonic maps, exploring singularity formation and defect measures. Gain insights into the Energy Identity conjecture and its recent proof in this advanced mathematics lecture.

Explore the landscape function's role in predicting wave localization patterns and eigenfunction behavior in complex systems with Svitlana Mayboroda's mathematical insights.

Dive into semiclassical measures for Laplacian eigenfunctions and quantum cat maps, exploring quantum chaos and high-energy limit behavior in mathematics.

Explore advanced physics concepts, from equations of motion to Lagrangian mechanics, using mathematical language to develop authentic physicist thinking skills.

Explore inverse problems for quantum graphs, covering Ambartsumian-type results, trace formulas, and implications for various graph structures. Gain insights into local inverse problems and explicit formulas.

Explore the nonlinear stability of the Schwarzschild metric in general relativity, covering key concepts, theorems, and challenges in mathematical physics and black hole dynamics.

Explore extreme eigenvalue distributions in sparse random graphs, covering empirical distributions, edge expansion, routing graphs, and universal properties. Gain insights into mathematical physics and graph theory.

Dive into advanced mathematical concepts exploring current algebra and generalized Cartan geometry, examining their interconnections and applications in mathematical physics.

Explore probability theory through non-equilibrium statistical physics with insights from renowned mathematician Tadahisa Funaki's research on interacting systems and stochastic PDEs.

Explore o fascinante mundo dos bilhares matemáticos com Alejandro Kocsard, descobrindo suas aplicações e propriedades únicas na geometria e sistemas dinâmicos.

Einblick in das Lebenswerk des Astrophysikers Wolfgang Kundt, mit Fokus auf seine Kritik an Schwarzen Löchern und Diskussionen über kontroverse Themen in der modernen Physik.

Исследование алгебраическо й интегрируемости магнитных бильярдов на плоскости, включая анализ их динамических свойств и математических особенностей.