Gaussian Process Approximation & Uncertainty Quantification for Autonomous Experiment
Explore advanced Gaussian process techniques for function approximation, uncertainty quantification, and autonomous experimentation, addressing challenges and improving performance in real-world applications.
Slow Time-Scale Behavior of Fast Microscopic Dynamics - IPAM at UCLA
Explores computational methods for understanding slow time-scale behavior of rapid microscopic dynamics, with applications in materials modeling and plasticity. Presents theory and examples for coarse-graining complex systems.
Mean Curvature and Variational Theory
Explores recent developments in prescribing mean curvature equations, focusing on existence theory, min-max theory for CMC/PMC surfaces, and Morse theory for area functional. Includes solution to Multiplicity One Conjecture.
The Beauty of Braids - From Knot Invariants to Higher Categories
Explore the fascinating world of braids, knot invariants, and higher categories in mathematics with insights from renowned expert Catharina Stroppel.
The Distribution of Values of Zeta and L-Functions
Explore the intricate world of zeta and L-functions, delving into their value distribution patterns and mathematical implications with renowned number theorist Kannan Soundararajan.
CDC Panel – Online Cooperation
Exploring challenges and solutions for international mathematical cooperation during limited mobility, with focus on leveraging technology to support mathematicians in developing countries.
Lower Bounds on the Top Lyapunov Exponent of Stochastic Systems
Explore lower bounds on top Lyapunov exponents in stochastic systems, examining mathematical techniques and implications for understanding system behavior and stability.
Probability Theory for Random Groups Arising in Number Theory
Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
Oscar Randal-Williams: Diffeomorphisms of Discs
Explore the mathematical intricacies of diffeomorphisms on discs with Oscar Randal-Williams in this insightful 45-minute lecture from the International Mathematical Union.
Theta Correspondence and the Orbit Method
Exploring theta correspondence and orbit method in representation theory, focusing on implications for unitary representations of classical groups and special unipotent representations.
Motivic Cohomology - Past, Present and Future
Explore motivic cohomology's evolution, recent developments, and future prospects in algebraic geometry, including cycles with modulus and Chow-Witt theory.
Surfaces via Spinors and Soliton Equations
Explore Weierstrass representation of surfaces, its relation to Willmore functional, and application to Davey-Stewartson II equation solutions with unique singularity patterns.
Analysis with Simple Lie Groups and Lattices
Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.
Arithmetic Dynamics - A Survey
Explore arithmetic dynamics, a field merging number theory and algebraic geometry with dynamical systems, examining key problems and recent advancements in this emerging area of mathematics.
Kähler Manifolds with Curvature Bounded Below
Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.
Hydrodynamic Limit and Stochastic PDEs Related to Interface Motion
Explore interacting particle systems and their macroscopic behavior through hydrodynamic limits, deriving models for interface motion in phase separation, species segregation, and coupled KPZ equations.
George Birkhoff’s Forgotten Manuscript and His Programme for Dynamics
Explore George Birkhoff's forgotten manuscript and his influential program for dynamics, uncovering its historical significance and impact on mathematical research.
Some Uses and Associations of Mathematics, as Seen From a Distant Historical
Explore the historical significance and diverse applications of mathematics across cultures and time periods, gaining insights into its enduring impact on society.
Camillo DeLellis- Regular and Singular Minimal Surfaces
Exploration of minimal surfaces, their properties, and challenges in defining generalized minimal surfaces. Discusses smoothness, singularities, and behavior at singular points, reviewing classical works and recent results.
Alice Guionnet: Random Matrices, Free Probability and the Enumeration of Maps
Explore connections between random matrices, free probability, and map enumeration in this advanced mathematical lecture by renowned expert Alice Guionnet.
Bernhard Schölkopf- From Statistical to Causal Learning
Explore the evolution of AI systems, from symbolic to statistical and causal approaches, examining key challenges in machine learning and the role of causality in advancing AI understanding and modeling.