The Calderon Problem: 40 Years Later - Seminar in the Analysis and Methods of PDE
Explore Calderon's inverse problem, its applications in medical imaging and geophysics, recent developments, and open questions with expert Gunther Uhlmann in this insightful seminar.
Speeding up Langevin Dynamics by Mixing
Explore a method to accelerate Langevin dynamics using mixing drift, improving convergence to stationary distribution in polynomial time for systems with multiple local minima.
Magnetohydrodynamic Turbulence - Weak Solutions and Conserved Quantities
Explore magnetohydrodynamic turbulence, weak solutions, and conserved quantities in ideal systems. Analyze the mathematical structures behind Taylor-Woltjer relaxation theory and Faraday systems.
Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials
Exploration of Floquet materials and their energy transport properties, focusing on effective quasi-energy gaps in parametrically forced Schrödinger equations and their implications for band-limited Dirac wave-packets.
The Role of Mathematics in Solving the World's Main Challenges
Explore how mathematics and computation contribute to understanding climate, energy, the cosmos, and life itself through TED-style talks by renowned computational scientists.
Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE
Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.
A Geometric Approach to Modeling and Analysis of Mixed-Dimensional and Multi-Continuum Materials
Explore geometric modeling of complex materials, unifying concepts from differential geometry and functional analysis to analyze fractured porous media and multi-continuum models.
Survey of the Benjamin-Ono Equation with Periodic Boundary Conditions
Explore the Benjamin-Ono equation's dynamics, including explicit solutions, well-posedness, and long-term behavior, with insights from Lax pair analysis in periodic boundary conditions.
Coarse-graining, Renormalization, and Quantitative Homogenization in PDE Analysis
Explore quantitative homogenization in elliptic and parabolic equations, focusing on coarse-graining and renormalization techniques. Discuss applications to degenerate equations and mathematical physics models.
The Flow of Polynomial Roots Under Differentiation - SIAM PDE Seminar
Explores the movement of polynomial roots under differentiation, connecting it to a hydrodynamic PDE model similar to those in mathematical biology, with focus on global regularity and trigonometric polynomials.
Gibbs Measures and Propagation of Randomness in Nonlinear Dispersive PDE
Explore Gibbs measures and randomness propagation in nonlinear dispersive PDE flows with Andrea R. Nahmod. Gain insights into advanced mathematical concepts and their applications in this engaging seminar.
Directed Mean Curvature Flow in Noisy Environment
Explore directed mean curvature flow in noisy environments and its connection to the KPZ equation through advanced mathematical analysis and stochastic PDEs.
An Obstacle Problem for Cell Polarization
Explore cell polarization modeling through diffusion equations and reaction-diffusion systems. Discover obstacle-type problems, steady-state stability, and polarization onset parameters in this mathematical biology seminar.
Quantum Dynamics and Optimal Transport
Explore quantum dynamics and optimal transport with François Golse, discussing the application of Monge's theory to quantum states and its implications for mean-field and classical limits in quantum mechanics.
The Half-space Matching Method for Solving Scattering in Complex Media
Explore innovative wave scattering solutions in complex media using the Half-space Matching Method, offering efficient alternatives to traditional computational techniques.
Fluctuation Theory in the Boltzmann-Grad Limit
Explore fluctuation theory in the Boltzmann-Grad limit for hard-sphere gases, examining dynamical correlations and their implications for the kinetic Boltzmann equation and large deviation asymptotics.
Energy Minimization Problems for Liquid Crystals - SIAM PDE Seminar
Explore energy minimization in liquid crystals through probability density, tensor averages, and molecular orientation theories with Sir John Ball.
Turning Cancer Discoveries into Effective Treatments with Mathematical Modeling
Explore how mathematical modeling aids in transforming cancer research into effective treatments, bridging the gap between scientific discoveries and clinical applications.
The Hamilton-Jacobi Equation: Past and Present
Explore the historical and contemporary significance of the Hamilton-Jacobi equation in mathematics with insights from Ryan Hynd of the University of Pennsylvania.
The Mathematics of Life - Making Diffusion Your Friend
Explore how diffusion processes in biology can be modeled mathematically, with insights from a leading expert in mathematical biology and biophysics.
Immunology for Mathematicians
Explore mathematical approaches to immunology, including modeling immune responses and viral dynamics, in this lecture by renowned researcher Alan S. Perelson from Los Alamos National Laboratory.