A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll
Explore geometric models for gentle algebras' derived categories, connecting algebra to surface topology and line fields. Gain insights into representation theory and homological mirror symmetry.
Introduction to Fukaya Categories - James Pascaleff
Explore examples of Fukaya categories, focusing on surfaces and potentially other cases, building upon previous lectures on symplectic geometry and Floer cohomology.
Introduction to Fukaya Categories - James Pascaleff
Explore Floer cohomology and Fukaya category fundamentals, including Lagrangian intersection theory, Floer differential, A∞ operations, and Gromov compactification in symplectic geometry.
Introduction to A-Infinity Structures - Bernhard Keller
Explore A-infinity algebras, modules, and derived categories. Learn about topological origins, minimal models, and twisted objects in this advanced mathematics lecture.
An Introduction to Modified Traces
Explore fundamental invariants in representation theory, focusing on modified traces as replacement invariants in non-semi-simple settings. Learn basic properties and applications through examples.
Introduction to A-Infinity Structures - Bernhard Keller
Explore A-infinity algebras, modules, and derived categories. Learn about topological origins, minimal models, and twisted objects in this advanced mathematical lecture.
Introduction to A-Infinity Structures - Bernhard Keller
Explore A-infinity algebras, their modules, and derived categories. Learn about topological origins, definitions, morphisms, bar construction, and Kadeishvili's theorem on minimal models.
Deformations of Path Algebras of Quivers With Relations
Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
Deformations of Path Algebras of Quivers with Relations
Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
Deformations of Path Algebras of Quivers With Relations - Lecture I
Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
A. Malutin - On Domination of Hyperbolic Knots
Explore hyperbolic knot domination in topology, examining mathematical concepts and techniques for analyzing knot structures and their properties in hyperbolic space.
Invariants of Non-Singular Triangulations for Low-Dimensional Manifolds
Explore non-singular triangulation invariants for low-dimensional manifolds, delving into advanced concepts in quantum topology and geometric structures.
Kashaev Invariant for n-Manifolds
Explore the Kashaev invariant for n-manifolds, delving into its mathematical properties and applications in quantum topology.
On the Complexity of Non-Orientable Seifert Manifolds
Explore the intricacies of non-orientable Seifert manifolds and their complexity in this advanced topology lecture by M. Mulazzani.
On Representations of Virtual Braid Group and Groups of Virtual Links
Explore representations of virtual braid groups and virtual link groups, delving into their properties, structures, and connections to quantum topology.
Stable Maps and Branched Shadows of 3-Manifolds
Explore stable maps and branched shadows in 3-manifolds, delving into advanced concepts in quantum topology and geometric structures.
Realisation of Cycles and Small Covers Over Graph Associahedra
Explore graph associahedra, focusing on realisation of cycles and small covers. Gain insights into this advanced mathematical topic through expert analysis and explanations.
Rectangular Diagrams and Giroux's Convex Surfaces
Explore rectangular diagrams and Giroux's convex surfaces in topology, delving into advanced mathematical concepts and their applications in quantum mechanics.
Jacobians of Circulant Graphs
Explore Jacobians of circulant graphs with A. D. Mednykh, delving into advanced mathematical concepts and their applications in graph theory and topology.
Self-Intersection of Curves in Surfaces and Drinfeld Associators
Explore self-intersection of curves in surfaces and Drinfeld associators, delving into advanced mathematical concepts and their applications in quantum topology.
Additive Posets, CW-Complexes, and Graphs
Explore additive posets, CW-complexes, and graphs in topology with renowned mathematician V.G. Turaev, delving into advanced concepts and their interconnections.