Sampling, Tilings, and Quasicrystals
Explore connections between sampling theorem, tiling properties, and model sets. Discover links to Fuglede's theorem and quasicrystals, bridging mathematics and materials science.
From Abelian Anyons in Moiré Matter to Non-Abelions in Synthetic Quantum Systems - Ashvin Vishwanath
Explore the interplay of topology, symmetry, and interactions in quantum systems, from Abelian anyons in moiré matter to non-Abelions in synthetic structures, with insights on recent theoretical and experimental advancements.
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.
Collaborating with Mathematicians on Major Societal Challenges - Session B02
Explore interdisciplinary collaborations between mathematicians and physicists addressing societal challenges, from quantum computing to climate science, through talks by leading researchers.
Minimal Surfaces in Diblock Copolymers and Geometric Scaffolds - Lecture 2
Explore zero mean curvature surfaces in R3, Lorentz-Minkowski space, and hyperbolic spaces. Engage with experts, attend mini-courses, and participate in discussions on this evolving field of research.
Minimal Surfaces in Diblock Copolymers and Geometric Scaffolds - Lecture 1
Explore zero mean curvature surfaces in R3, Lorentz-Minkowski space, and hyperbolic spaces. Engage with experts, attend mini-courses, and participate in discussions on this evolving field of research.
Negatively Curved Crystals - Exploring Infinite Patterns
Explore the fascinating world of negatively curved crystals and their infinite patterns with Fields Medal winner Curtis McMullen in this engaging TEDx talk.
Unification of Topological Invariants and Topological Markers
Explore topological invariants and markers in quantum materials, unifying concepts through wrapping numbers and quantum metrics. Apply to 1D and 2D systems.
Classically Forbidden Regions and Analytic Hypoellipticity in Spectral Theory
Explore analytic microlocal methods in condensed matter physics, focusing on magic angles in graphene and eigenfunction decay. Discover insights from numerical simulations and potential research directions.
A World From A Sheet of Paper
Explore diverse phenomena through paper folding, from magic tricks to geometry, elasticity, origami, and medical devices. Discover the hidden potential of a simple sheet of paper.
Topological Aspects of Discrete Spectrum
Explore topological aspects of discrete spectrum in symbolic dynamics and quasicrystals through Felipe Garcia-Ramos' insightful conference talk.
Sobolev Homeomorphic Extensions in Geometric Analysis and Nonlinear Elasticity
Explore Sobolev homeomorphic extensions in geometric analysis, focusing on boundary map properties and their implications for nonlinear elasticity and higher-dimensional problems.
Fully Discrete Approximation Schemes for Rate-Independent Crack Propagation
Explore convergence analysis of space-time discrete approximation schemes for rate-independent crack propagation in brittle elastic bodies, focusing on Griffith fracture criterion and local energy minimizers.
Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity
Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.
Modern Trends in Gagliardo-Nirenberg Inequality
Explore modern trends in Gagliardo-Nirenberg inequality, including generalizations, refinements, and applications in functional analysis and partial differential equations.
From Materials to Minds: Nonlocal Approaches to Damage and Degeneration
Explore nonlocal analysis for modeling damage in materials, drawing parallels to neural networks and potential applications in cognitive degeneration research.
A Gift for Louis: The New Aperiodic Monotile
Explore the groundbreaking discovery of a new aperiodic monotile, unraveling its mathematical significance and implications for tiling theory.
Multiscale Methods for High-Contrast Heterogeneous Sign-Changing Problems
Explore multiscale methods for high-contrast heterogeneous sign-changing problems, focusing on CEM-GMsFEM tailored for these scenarios. Learn about numerical effectiveness and error estimation.
ME3255 - Building Moore's Prediction and Using Monte Carlo Buckling Analysis
Explore Moore's prediction and Monte Carlo buckling analysis techniques for advanced engineering applications. Enhance structural design skills.
Chirality and Topology in Materials Science - Lecture 34
Explore chirality and topology in materials science with Prof. Claudia Felser's lecture on cutting-edge research and applications.
Ensembles of Random Matrices with Complex Potentials - Workshop on Integrable Systems
Explorez les résultats rigoureux récents sur l'expansion topologique et le diagramme de phase dans les ensembles de matrices aléatoires avec potentiels complexes cubiques et quartiques.