Flexibility Ideas for Geodesic Flow
Explore innovative concepts in geodesic flow flexibility, uncovering dynamic approaches and mathematical insights for advanced understanding.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 4: Error Estimates
Explore error estimates in anomalous dissipation and the Strong Onsager Conjecture, delving into mathematical descriptions of turbulent flows and energy transfer between scales.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 3: From Fourier Series to Wavelet Series
Explore advanced concepts in turbulent flows, focusing on anomalous dissipation and the Strong Onsager Conjecture. Delve into mathematical techniques transitioning from Fourier to wavelet series analysis.
On the De-Singularization of the Biot-Savart Law and Vortex Reconnection - Lecture 4
Explore advanced concepts in topological vortex dynamics, focusing on de-singularization of the Biot-Savart Law and vortex reconnection in this advanced lecture.
On Vortex Reconnection and Topological Cascade of Vortex Knots - Lecture 5
Explore advanced concepts in topological vortex dynamics, focusing on vortex reconnection and the topological cascade of vortex knots in fluid systems.
Exact Results for One-Dimensional Mobile Impurity
Explore integrable models of mobile impurities in one-dimensional fermion gases, examining nonperturbative solutions, Fredholm determinants, and phenomena like incomplete relaxation and momentum-dependent statistics.
Variational Principles in Physics - Standard Prejudices and Paradoxes
Explore variational principles in physics, challenging standard assumptions and uncovering paradoxes with Professor Jerzy Kijowski's insightful seminar.
The Euler Equations as a Differential Inclusion - Lecture 2
Explore advanced mathematical techniques for analyzing Euler equations in fluid dynamics, focusing on differential inclusions and the Onsager conjecture.
Holomorphic-Topological Twists and Their Applications
Explore holomorphic-topological twists in supersymmetric quantum field theories, examining mathematical properties, formality results, categorical wall-crossing, and 't Hooft expansion approaches.
Mean Field Results in Fluid Mechanics - Lecture 2
Explore advanced mean field techniques in fluid mechanics, focusing on stochastic and deterministic analysis for irregular models in mathematics.
Mean Field Results in Fluid Mechanics - Lecture 3
Explore advanced mean field techniques in fluid mechanics, focusing on stochastic and deterministic analysis for irregular models in mathematics.
2D Percolation Revisited
Explore 2D percolation theory with Fields Medalist Stanislav Smirnov in this IMPA 70th anniversary conference talk. Gain insights into advanced mathematical concepts and recent developments in the field.
Quivers, Flow Trees, and Log Curves
Explore the connection between Donaldson-Thomas invariants, attractor flow trees, and log Gromov-Witten invariants in quiver theory and toric geometry.
An Introduction to Fusion Rings - Part I
Explore fusion rings in physics and mathematics, covering their structure, applications, and connections to particle models with topological interactions.
A Range Three Elliptic Deformation of the Hubbard Model
Explore a systematic method for constructing integrable Lindblad systems and discover a new range 3 integrable deformation of the Hubbard model in both Hermitian and Lindbladian formulations.
Wigner's Semicircle Distribution as Limit Distribution
Explore the Wigner distribution as a limit of eigenvalue distributions in random matrices, with a focus on probability theory and mathematical analysis.
Entanglement Resolution and Boundary Conformal Field Theory
Explore entanglement spectra and symmetry-resolved entanglement in conformal field theory, focusing on U(1) Kac-Moody and Virasoro algebra symmetries.
From Classical to Quantum Fields on Causal Sets
Explore algebraic classical and quantum field theory on causal sets, focusing on quantisation approaches and the Sorkin-Johnston state for free scalar fields, with potential applications to interacting fields.
A Simple Axiom for Euclidean Quantum Field Theory
Explore a concise mathematical definition of quantum field theory and its implications for physics through a categorical approach to Riemannian manifolds and Hilbert spaces.
Higher Differential Cohomology and Atiyah Connections - Part 2
Explore connections for principal bundles in higher categories, their relation to higher parallel transport, and generalised Atiyah sequence splittings.
Color Kinematics Duality and Homotopy Algebras
Explore tree-level BCJ color-kinematics duality, double copy, and L-infinity algebras, advancing to loop-level duality and BV-box algebra applications in mathematical physics.