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.
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.
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.
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.
Análise em Variedades - Aula 16
Assista à décima sexta aula do curso de mestrado em Análise em Variedades, ministrada pelo Professor Vinicius Ramos no Instituto de Matemática Pura e Aplicada. Explore conceitos avançados como variedades diferenciáveis, variedades com bordo, variedades o…
Análise em Variedades - Aula 19
Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
Optimal Topological Simplification of Surfaces
Algorithmes et résultats de complexité pour simplifier la topologie des surfaces de manière optimale, en utilisant des courbes et graphes les plus courts possible.
25.03.2020 Ф.Г. Кораблёв - Автоморфизмы раскрасок и инварианты узлов
Исследование автоморфизмов раскрасок и их связи с инвариантами узлов в топологии. Анализ современных методов и подходов в этой области математики.
The Geometry of Compact Spaces and the Optimal Connections
Исследование геометрии компактных пространств и оптимальных соединений, включая анализ топологических свойств и их практическое применение.
Non-Recognizability of Manifolds
Исследование неразрешимости проблемы распознавания многообразий в топологии, включая анализ сложных математических концепций и их применение.
Stability of Reeb Ordering Method in the Framework of Pospaces
Explores stability of Reeb ordering in pospaces, introducing new tools for manipulating posets as graph-like objects and proving stability using interleaving distance among order-compatible topological spaces.
Floating Bodies and Duality in Spaces of Constant Curvature
Explores p-affine surface area and floating bodies in curved spaces, extending Meyer & Werner's Euclidean results to spherical and hyperbolic geometries. Examines limiting behavior as curvature approaches zero.
Whitney and His Umbrella - Exploring Singular Surfaces
Explore Whitney umbrellas in smooth mappings from surfaces to 3D space. Discover the interplay between defining equations and parametrizations of singular surfaces.
Computable Stability for Persistence Rank Function Machine Learning
Exploring persistent rank functions and rank invariants as alternatives to persistent homology barcodes, with applications in machine learning and topological data analysis.