
Explore heterodimensional cycles between measures in dynamic systems with Katrin Gelfert. Join international experts for cutting-edge research discussions in Rio de Janeiro.

Explore dynamic systems with experts from DinAmicI network and Brazil. Join international researchers for cutting-edge discussions on dynamics, applications, and interactions in mathematics.

Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.

Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.

Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.

Explore thermalization of particles in magnetic fields and gain insights into advanced rough path theory applications in physics.

Explore continuous extension of logarithmic double layer potential to Ahlfors-regular curve boundaries. Learn necessary and sufficient conditions for extension and examine illustrative examples.

Delve into the mathematical analysis of ill-posedness in third-order nonlinear Schrödinger equations, focusing on Raman scattering effects and their implications for solution behavior.

Explore the dynamics of the restricted three-body problem and its relationship to holomorphic curves, focusing on Birkhoff's conjecture and the mathematical analysis of celestial mechanics.

Exploring quantum collapse models as a key to understanding awareness, linking quantum physics with consciousness and integrated information theory.

Explore five powerful methods for solving differential equations in physics: ansatz, energy conservation, series expansion, Laplace transform, and Hamiltonian flow, with practical applications to harmonic oscillators.

Comprehensive derivation of the heat equation, exploring its mathematical foundations and physical principles in thermal energy conservation and transfer.

Explore second-order harmonic oscillators, characteristic equations, and ode45 in MATLAB through practical examples and hands-on coding for engineering mathematics applications.

Explore time-crystalline eigenstate order in quantum systems, covering many-body phases, Floquet time crystals, and experimental challenges using Google's Sycamore Device.

Explore potential flow, stream functions, and Laplace's equation with practical examples in fluid dynamics. Gain insights into fundamental concepts and their applications.

Explore advanced potential flow concepts, solving Laplace's equation for idealized fluid flows. Learn contour integrals, analyze examples, and understand how PDE solutions establish vector fields.

Explore Gauss's Divergence Theorem, a fundamental tool in mathematical physics for deriving conservation laws and translating them into partial differential equations.

Explore Turing's reaction-diffusion system and its applications in biology, from animal patterns to agent-based models. Gain insights into theoretical frameworks for understanding complex biological phenomena.

Explore the intersection of biology and physics, covering topics from molecular evolution to ecology. Learn about physical constraints, evolutionary outcomes, and mathematical models in living systems.

Explore biological pattern formation through nonequilibrium physics, from snake pigmentation to tissue development. Discover emergence, hydrodynamics, and reaction-diffusion models in this comprehensive lecture on complex biological systems.

Explore vorticity measures and vanishing viscosity in fluid dynamics, focusing on 2D Navier-Stokes equations and their relation to Euler equations in bounded domains.