Robin Havea- On the Boundary of the Numerical Range
Explore challenges in constructive mathematics regarding the boundary and border of the numerical range, focusing on convexity analysis and its implications in various settings.
Ronen Eldan- Revealing the Simplicity of High-Dimensional Objects via Pathwise Analysis
Explore high-dimensional geometry through pathwise analysis, revealing simple structures in complex spaces and their applications in probability theory and statistical physics.
Robust Risk Measures with Silvana Pesenti
Explore distributionally robust risk measures, worst-case distortion for Wasserstein uncertainty sets, and dynamic robust risk measures in portfolio optimization with Silvana Pesenti.
The Role of Convexity in Data-Driven Decision-Making
Explore data-driven decision-making through distributionally robust optimization, focusing on computation, statistics, and real-time implementation aspects. Gain insights into online optimization applications.
Jürgen Jost - Geometry and Topology of Data
Explore geometric and topological approaches to data analysis, focusing on ball intersections, curvature concepts, and convexity in metric spaces.
Chad Giusti - Topology, Convexity, and Neural Networks
Explore topology in neuroscience, focusing on receptive fields, neuron convexity, and geometric features. Discover connections between neural networks and mathematical concepts.
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids
Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
Monotonicity, Convexity, and Realization of Noncommutative Functions
Explore noncommutative functions, focusing on monotonicity, convexity, and realization. Delve into classical representations and modern approaches in matrix analysis and functional calculus.
Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta
Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.
Tame Your Data - Constrained Spline Regression in the Wolfram System
Explore disciplined convex programming for optimized cubic spline functions with constraints, applying advanced techniques to solve multi-objective optimization problems.
Monotone Twist Maps and Dowker-Type Theorems
Explore geometric inequalities in billiard systems, connecting Dowker's theorems to Mather's β-function and deriving new insights for various billiard types.
GeoCombSurfX - Exploring Properties of Polygonal Complexes
Explore polygonal complexes, analyze combinatoric and geometric properties, and tackle interlocking problems using Julia's ecosystem. Learn about future developments in algebraic analysis and 3D embeddings.
Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries
Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
Ghost Polygons, Poisson Bracket and Convexity in Anosov Representations
Explore Anosov representations, length functions, and Poisson brackets in moduli spaces. Discover combinatorial techniques and their applications to convexity in character varieties.
Two Geometric Applications of the Linear Algebra Method
Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
Partial Differential Equations and Convexity
Explore elliptic PDEs, convexity preservation, and surprising cases of convexity breaking in evolution equations like porous medium and Stefan problem.
Optimization Crash Course
Explore geometric methods in optimization and sampling, covering key topics like convexity, optimality, and gradient descent with expert insights from MIT's Ashia Wilson.
Phase Coexistence, Interface Tension and Convexity of Thermodynamic Potentials
Explore phase coexistence, interface tension, and thermodynamic potential convexity in condensed matter theory with expert insights from IFUSP.
Data Influence: Understanding Influence Functions and Efficiency in Machine Learning
Delve into advanced mathematical concepts of data influence, exploring influence functions, efficiency, and convexity through theoretical frameworks and practical applications in data science.
Quantum Shannon Theory - Rothschild Lecture
Explore quantum Shannon theory, examining channel capacities, coding theorems, and entropic quantities in quantum information science. Delve into mathematical challenges and open problems in the field.
Convexity, Duality and Heat Diffusion
Explore the intricate relationship between log-concavity, duality, and Gaussian diffusions in mathematical analysis, focusing on the Blaschke-Santalo inequality and Legendre transforms.