Blow Up for the 1D Cubic NLS and Related Systems
Explore singularity formation in 1D Schrödinger equations with cubic nonlinearity and its connections to Schrödinger map and vortex filament equation.
Stability and Asymptotic Behavior of Fronts in Bidomain Models
Explore stability and asymptotic behavior of fronts in bidomain models with Hiroshi Matano's in-depth analysis and insights.
Modelling Phenotypic Delay in the Evolution of Bacterial Antibiotic Resistance
Explore bacterial antibiotic resistance evolution through phenotypic delay modeling, uncovering insights into this critical health challenge.
The World of Shadows - From Plato to Thom
Explore the philosophical and mathematical journey from Plato's shadows to Thom's theories, guided by renowned mathematician Mikhail Gromov.
Orbit Counting Theorem for Cusped Hitchin Representations
Explore cusped Hitchin representations through orbit counting theorems, Bowen-Series coding, and Quint's Iwasawa cocycle. Gain insights into dynamics and potential applications.
Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 2
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Homogeneous Dynamics and u-Gibbs States
Explore orbit closure and measure classification in homogeneous dynamics, with insights on extending results to non-homogeneous settings using robust approaches.
Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 1
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Anosov Representations - Lecture 3
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry. Discover recent developments and potential research directions.
Anosov Representations - Lecture 2
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry in this advanced mathematical lecture.
Divisible Convex Sets with Properly Embedded Cones
Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
Equidistribution of Periodic Tori
Explore equidistribution of periodic tori in higher rank Lie groups, extending Bowen and Margulis' work on closed geodesics in hyperbolic surfaces.
Introduction to Anosov Representations - Lecture 1
Explore Anosov representations, their characterizations, and applications in convex projective geometry. Gain insights into recent developments and potential research directions.
A Higher Dimensional Generalization of the Birkhoff Attractor
Explore higher-dimensional generalizations of the Birkhoff attractor using spectral metrics for conformal symplectic maps and damped Hamiltonian systems.
Cachexia - Muscle Loss from Cancer and Chemotherapy
Explore muscle loss from cancer and chemotherapy, understanding cachexia's impact and potential interventions in this concise oncology lecture.
Mapping Riemannian Manifolds in Metric Spaces
Explore Riemannian manifold mappings, their applications in geometry, and the construction of canonical shapes. Gain insights into special mappings, stability problems, and geometric inequalities.
Spontaneous Stochasticity in Multi-Scale Dynamics
Explore spontaneous stochasticity in multi-scale dynamics, focusing on turbulence models and the formalization of stochastic solutions using renormalization-group operator attractors.
Separating Actions from Angles in Local Diffeomorphisms
Explore geometric normalization of analytic local diffeomorphisms near weakly attracting elliptic fixed points, focusing on existence and applications.
Predictive Oncology Through Image-Based Mathematical Modeling
Explore image-based mathematical modeling for predictive oncology. Gain insights into cutting-edge techniques for cancer prognosis and treatment planning with Dr. Tom Yankeelov.
Lenia: A Continuous Model of Virtual Cell Growth Patterns
Explore virtual cell growth patterns through Lenia, a continuous model presented by Dr. Bert Chan in this Mathematical Oncology seminar.
C*-Bundles Containing the Effros-Shen Algebras
Explore C*-bundles containing Effros-Shen algebras, examining homeomorphisms, rational numbers, and continuous fractions in this advanced mathematical lecture.