Abstract Algebra
Comprehensive introduction to abstract algebra, covering symmetries, groups, isomorphisms, and more. Follows Gallian's text with accompanying slide decks for in-depth understanding.
Commutative Algebra and Algebraic Geometry: Hitching Map and Modular Spaces - Lecture 15
Explore advanced topics in algebraic geometry, including Hitchin maps, nilpotent cones, and modular spaces. Gain insights into symmetries, automorphisms, and spectral curves in this in-depth mathematical discussion.
Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 3
Explorez les liens entre dynamique, algèbre et géométrie dans les groupes libres-par-cycliques. Découvrez les résultats récents et les problèmes ouverts dans ce domaine inspiré par les travaux de Thurston.
Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 2
Explore dynamics and geometry in free-by-cyclic groups, focusing on automorphisms, semi-direct products, and their interplay with Thurston's work on surface homeomorphisms and 3-manifolds.
Dynamics to Geometry in Free-by-Cyclic Groups - Part I
Explore the interplay between automorphism dynamics, algebraic properties, and coarse geometry in free-by-cyclic groups, drawing inspiration from Thurston's work on surface homeomorphisms and 3-manifolds.
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.
George Willis, Pierre-Emmanuel Caprace - A Totally Disconnected Invitation to Locally Compact Groups
Explore topological groups, focusing on locally compact and totally disconnected types. Discover recent advances in theory, simple groups, local structure, and comparisons with linear groups.
Random Algebraic Dynamics in Complex Dimension 2
Explore dynamics of automorphism groups on projective surfaces, covering measure classification, orbit closures, and finite orbits. Techniques from geometry and dynamical systems are discussed.
Welded Tangles and a Topological Interpretation of the Kashiwara-Vergne Group
Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.
Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms
Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.
Virtual Representation of the Braid Group of Automorphisms and Virtual Links
Virtual representation of braid group automorphisms and links: exploring mathematical concepts and their applications in quantum topology and related fields.
Marcello Bernardara - Semiorthogonal Decompositions as Markings and Autoequivalences
Explore semiorthogonal decompositions as markings and their role in lifting autoequivalences between triangulated categories, with applications to rational surfaces and non-commutative examples.
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.
Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 3
Explore automorphisms of free groups and outer conjugacy classes in geometric group theory, advancing understanding of group structures and transformations.
Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 2
Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture by François Dahmani, part of a geometric group theory workshop.
Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes
Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture, part of a geometric group theory workshop.
Automorphisms of GKM Graphs and Regular Semisimple Hessenberg Varieties
Explore automorphisms of GKM graphs and regular semisimple Hessenberg varieties in this advanced mathematical talk by Mikiya Masuda, delving into toric topology and geometry.
Automorphisms of Rigid Geometric Structures à la Zimmer-Gromov
Explore automorphisms of rigid geometric structures through Zimmer-Gromov's approach in this advanced mathematics lecture by Karin Melnick.