Natural Homology Computability and Eilenberg Steenrod Axioms
Explore natural homology computability and Eilenberg Steenrod axioms in this advanced mathematics lecture, delving into applied and computational algebraic topology concepts.
Directed Paths on Cubical Complexes
Explore directed paths on cubical complexes in this advanced mathematics lecture, part of the Hausdorff Trimester Program on Applied and Computational Algebraic Topology.
Poisson U Statistics Subgraph and Component Counts in Random Geometric Graphs
Explore Poisson U statistics, subgraph counts, and component analysis in random geometric graphs, advancing knowledge in applied algebraic topology.
Gaussian Isoperimetry and Related Topics I
Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof techniques using geometric measure theory.
Martina Lanini- Attractive Forests and Torus Actions
Explore quiver representations, torus actions on quiver Grassmannians, and their applications in algebraic geometry, focusing on attractive forests and nilpotent representations of equioriented cycles.
Felix Klein Lectures 2020: Quiver Moduli and Applications
Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
Quiver Moduli and Applications
Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.
Felix Klein Lectures 2020: Quiver Moduli and Applications
Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.
Felix Klein Lectures 2020 - Quiver Moduli and Applications
Explore quiver moduli spaces' construction, topology, and geometry, with focus on cohomology and applications to Gromov-Witten and Donaldson-Thomas theories via wall-crossing.
Felix Klein Lectures 2020- Quiver Moduli and Applications
Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.
Perverse Sheaves and Schobers on Riemann Surfaces - Tobias Dyckerhoff
Explore derived constructible categories on stratified Riemann surfaces, t-structures, Verdier duality, and categorified perverse sheaves with applications in algebraic geometry and topology.
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.
An Introduction to Modified Traces - Jonathan Kujawa
Explore fundamental invariants in representation theory, focusing on modified traces as replacement invariants in non-semi-simple settings. Learn basic properties and applications.
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.
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, their modules, and derived categories. Learn about topological origins, definitions, morphisms, bar construction, and Kadeishvili's theorem on minimal models.
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.