Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 1
Explore quivers, Nahm sums, and hidden symmetries in knot homologies with expert Dmitry Noshchenko in this advanced mathematics lecture.
Symmetries of 4-Manifolds - Part 2
Explore advanced concepts in 4-manifold symmetries, building on previous knowledge and delving into complex mathematical theories.
The Structure of Homeomorphism Groups - Lecture 3
Explore the algebraic and topological structures of homeomorphism groups, their relation to manifold topology, and dynamics of group actions.
An Introduction to Rigid Local Systems
Explorez les systèmes locaux rigides, leurs propriétés et applications en géométrie et théorie des nombres. Découvrez les avancées récentes et la conjecture de Simpson sur leur origine géométrique.
Poisson Structures on Character Varieties
Explore Poisson structures on character varieties, examining maps between oriented surfaces and their impact on conjugacy classes of fundamental group representations into Lie groups.
Matrix Spaces and Graphs: Connections and Applications
Explore connections between matrix spaces and graphs, uncovering surprising equivalences and their applications in theoretical computer science, quantum information theory, and algebra.
Orderability of 3-Manifold Groups and the L-Space Conjecture
Explore orderability of 3-manifold groups, focusing on the L-space conjecture and its connections to group orderability, taut foliations, and Heegaard Floer homology in hyperbolic 3-manifolds.
Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids
Explore minimal-volume cusped hyperbolic 3-manifolds and their fundamental groups' orderability. Investigate order-preserving braids and their impact on Artin actions.
R-Focal Actions of Groups Acting on the Line
Explore R-focal actions of groups on the real line, examining examples and applications to understand group action spaces in homeomorphisms.
Detecting 3-Manifold Groups Among Circularly Ordered Groups
Explore techniques for identifying 3-manifold groups within circularly ordered groups, focusing on mathematical detection methods and group theory applications.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond
Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Examine model theory applications.
Spaces of Actions on the Line
Explore finitely generated group actions on the line, examining compact laminations and Deroin spaces through examples and collaborative research insights.
Left-Orderability and Toroidal 3-Manifolds
Explore left-orderability in 3-manifolds with incompressible tori, using order-detection of slopes. Gain insights into the L-space conjecture through new evidence.
Non-standard Orders on Torus Bundles with One Boundary
Explore non-standard bi-orderings of fundamental groups in torus bundles with one boundary, extending Perron-Rolfsen's work on standard orderings and Alexander polynomials.
Introduction to Circular Orderings - Lecture 2
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Introduction to Circular Orderings - Lecture 3
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 1
Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Gain insights into model theory applications.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 2
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.