Drinfeld's Lemma for Schemes - Kiran Kedlaya
Explore Drinfeld's lemma for schemes with Kiran Kedlaya, covering fundamental groups, base points, and the Stax project in algebraic geometry.
Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete
Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.
Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms - Morgan Weiler
Explore area-preserving annulus diffeomorphisms, focusing on mean action of periodic orbits. Delve into action functions, Colombian variants, and Hutchings theorem in symplectic dynamics.
Lyapunov Exponents for Small Random Perturbations - Alex Blumenthal
Explore Lyapunov exponents in random perturbations of hyperbolic 2D volume-preserving diffeomorphisms, including the Standard Map, with insights on asymptotic dynamics and invariant structures.
Notions of Scalar Curvature - Mikhail Gromov
Explore scalar curvature concepts, spin bundles, and rich curves with renowned mathematician Mikhail Gromov in this advanced topology lecture from the Institute for Advanced Study.
Existence Theory of Minimal Hypersurfaces - Fernando Marquez
Explore the existence theory of minimal hypersurfaces, covering minimax theorems, space of cycles, and volume spectrum. Gain insights into Ricci curvature and generic metrics.
Univalence from a Computer Science Point-of-View - Dan Licata
Explore univalence in computer science with Dan Licata, covering Martin-Löf type theory, computation, and applications in homotopy theory and group structures.
Working With Shapes Lesson - Design Basics Episode 7
Learn to create and manipulate geometric and organic shapes in Adobe Illustrator, including using the Pathfinder Tool for combining and subtracting shapes to enhance your design skills.
Topology and Physics - Clay Cordova with Edward Witten
Explore the intersection of topology and physics with Clay Cordova and Edward Witten, covering quantum mechanics, fermions, and topological quantum computing in this engaging discussion.
Studying Fluid Flows with Persistent Homology - Rachel Levanger
Explore fluid dynamics through persistent homology, uncovering patterns in complex systems like turbulence and convection. Learn topological data analysis techniques for studying fluid flows.
Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier
Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.
Relative Poincaré Duality in Non Archimedean Geometry
Delve into advanced mathematical concepts exploring relative mod-p Poincaré duality in rigid-analytic varieties, featuring novel trace map constructions and diagrammatic proofs for smooth morphisms.
How Hard is the Theorem of Stolz - Metrics and Scalar Curvature in Spin Manifolds
Delve into the complexity of Stolz's theorem on positive scalar curvature metrics, exploring metric deformations and manifold transformations through groundbreaking mathematical research findings.
Current Algebra and Generalised Cartan Geometry
Dive into advanced mathematical concepts exploring current algebra and generalized Cartan geometry, examining their interconnections and applications in mathematical physics.
On Dynamics of Lorenz Maps - Renormalizations and Invariant Sets
Explore the dynamics of Lorenz maps, focusing on renormalizations and invariant sets. Delve into piecewise monotone interval maps, their connections to number theory, and fractal geometry.
Collapsed Anosov Flows: Characterizations and Proofs - Lecture 2
Delve into equivalent characterizations of collapsed Anosov flows and their strong variants, exploring key mathematical proofs and theoretical foundations in dynamical systems.
Polygon Miden - Extending Ethereum with Zero Knowledge Systems
Explore Polygon Miden's innovative zero-knowledge system and its novel approach to scaling Ethereum through rollups while prioritizing ZK-friendliness over EVM compatibility.
Análise em Variedades - Aula 18
Explore advanced concepts in differential geometry, including manifolds, tangent bundles, and differential forms. Delve into the Whitney embedding theorem and De Rham cohomology.
Bilhares
Explore o fascinante mundo dos bilhares matemáticos com Alejandro Kocsard, descobrindo suas aplicações e propriedades únicas na geometria e sistemas dinâmicos.
Análise em Variedades - Aula 17
Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.