Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
Counting Non-Tempered Automorphic Forms Using Endoscopy
Explore advanced concepts in automorphic forms and endoscopy, focusing on counting non-tempered forms and their mathematical implications.
Gradient Bounds for the Heat Kernel on the Vicsek Set
Explore gradient bounds for heat kernels on Vicsek sets, delving into harmonic analysis and partial differential equations in this advanced mathematical lecture.
Score Matching and Sub-Riemannian Bridges
Explore score matching and sub-Riemannian bridges in geometric statistics and shape analysis through an expert's perspective.
On the Spread of an Infection in a Host Population Distributed on Z - Lecture
Explore mathematical models of infection spread in host populations distributed on Z, focusing on stochastic processes in evolutionary biology.
Poincaré Duality Fibrations and Graph Complexes
Explore Poincaré duality fibrations and graph complexes in advanced mathematics. Gain insights from Alexander Berglund's conference talk at CIRM's thematic meeting on higher algebra, geometry, and topology.
Equivariant Formality and Reduction
Explorez les concepts d'équivariance formelle et de réduction en mathématiques avancées avec Chiara Esposito dans cette conférence approfondie.
Random Rubber Bands: Evolution and Noise on Manifolds - Rothschild Lecture
Explore the evolution of random rubber bands on manifolds, delving into mathematical insights and algebraic structures arising from this intriguing model of noisy geodesic behavior.
Thomson's 5 Point Problem and Power-Law Potentials - Rothschild Lecture
Explore Thomson's 5 point problem and its phase transition constant through rigorous computer-assisted proof. Gain insights into electrostatic potential minimization and power-law potentials on spheres.
Mathematics for Data-Driven Modeling - The Science of Crystal Balls
Explore data-driven modeling techniques that bypass traditional equation-based approaches, enabling direct analysis and prediction from observations in various scientific fields.
Solving PDEs in Domains with Complex Evolving Morphology - Rothschild Lecture
Explore mathematical challenges in solving PDEs on evolving domains, focusing on biological applications. Learn abstract frameworks, well-posedness theory, and numerical methods for complex geometries.
Random Maps and Random 2-Dimensional Geometries
Explore random maps and 2D geometries, examining scaling limits, combinatorial tools, and connections to conformal random fields. Gain insights into discrete random metric surfaces and their convergence properties.
Disordered Systems and Related Spectra - Rothschild Lecture
Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
Nonlocal Evolution Equations - Rothschild Lecture
Explore nonlocal evolution equations, focusing on Surface Quasi-Geostrophic equation and its generalizations. Examine regularity, long-term dynamics, and dissipation in 2D SQG.
Non-Local Differential Operators in Probability - Kirk Lecture
Explore non-local differential operators in probability theory, focusing on fractional-order operators and their applications in stochastic processes, anomalous diffusions, and renewal theory.
On Archimedes' Principle - Rothschild Public Lecture
Explore Archimedes' Principle with Professor Krzysztof Burdzy in this Rothschild Public Lecture. Gain insights into stochastic systems and anomalous diffusion in mathematical sciences.
Counting Curves: Which, How and Why - Kirk Public Lecture
Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
Data-Driven Modelling of Collective Cell Motility - Kirk Lecture
Explore data-driven modeling techniques for collective cell motility with Prof. Ruth Baker. Gain insights into interdisciplinary approaches in animal ecology and cell biology.
The Miracle of Tomography - Rothschild Lecture
Explore the diverse applications and mathematical techniques of tomography, from medical imaging to geophysics, with Professor Peter Kuchment's comprehensive overview of this fascinating field.
A Mathematical Toolkit for Pandemics
Explore mathematical tools for understanding and managing pandemics with Prof. Julia Gog. Gain insights into modeling, data analysis, and decision-making strategies for infectious disease outbreaks.
From Newton's Law to Many-Particle Systems - Rothschild Lecture
Explore Newton's laws of motion and gravitation through examples, examining differential equations, many-particle systems, and their large-scale behavior from numerical and analytical perspectives.