Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
Median Spaces and Algebras - Lecture 4
Explorez les espaces médians et leurs applications en géométrie de groupe, couvrant les espaces L^1, les complexes cubiques CAT(0) et les R-arbres, avec un accent sur les propriétés analytiques des groupes.
Median Spaces and Algebras - Part 3
Explore median spaces as generalizations of L^1 spaces, CAT(0) cube complexes, and R-trees. Discover their applications in geometric group theory and functional analysis.
Median Spaces and Algebras - Part I
Explorez les espaces médians et leurs applications en géométrie de groupe, couvrant les espaces L^1, les complexes cubiques CAT(0) et les R-arbres, avec des implications pour diverses propriétés de groupe.
Median Spaces and Algebras - Part II
Explore median spaces as generalizations of L^1 spaces, CAT(0) cube complexes, and R-trees. Discover their applications in geometric group theory and functional analysis.
Helly Graphs and Injective Metric Spaces - Part I
Explorez les graphes de Helly et les espaces métriques injectifs : définitions, propriétés et exemples. Découvrez leurs caractéristiques non positives et leurs liens avec divers groupes géométriques.
Heisenberg Homology of Surface Configurations
Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
![Connectedness and Deformation by Conjugation of Actions on [0,1] or S^1](https://img.youtube.com/vi/MIoPsIDfp8A/mqdefault.jpg)
Connectedness and Deformation by Conjugation of Actions on [0,1] or S^1
Explore connectedness and deformation by conjugation of actions on [0,1] or S^1 in this advanced mathematical lecture by Hélène Eynard-Bontemps.
Actions on the Real Line of Some Finitely Generated Groups
Explore finitely generated groups' actions on the real line, focusing on mathematical concepts and theories presented by Nicolás Matte Bon in this advanced mathematics conference talk.
On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces
Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.
On Mapping Class Groups of Non-Orientable Surfaces
Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.
Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces
Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.
On Mapping Class Groups of Non-Orientable Surfaces
Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.
Mapping Classes and Moduli Spaces of K3 Manifolds
Explores mapping classes of K3 manifolds using moduli spaces, focusing on unipotent actions on cohomology and K3 surfaces fibered into genus one curves.
On the Geometry of Extensions of Free Groups
Explore geometric group theory's advancements, focusing on free group extensions. Gain insights from experts through minicourses and collaborative research in this intensive workshop.
Schmutz-Thurston Duality in Mapping Class Group-Equivariant Cell Decompositions
Explore mapping class group-equivariant cell decompositions of Teichmueller space, focusing on Schmutz and Thurston's work for closed compact surfaces without marked points.
Top Weight Cohomology of M_{g,n} and the Handlebody Group
Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.
Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰
Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.
Bowditch Representations and Dynamics on Character Varieties - Part 2
Explore advanced concepts in geometric group theory, focusing on mapping class group actions on character varieties and domains of discontinuity for various surfaces and Lie groups.