Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles
Explore structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles, focusing on topological conjugacy and linear fiber mappings.
Whitney and His Umbrella - Exploring Singular Surfaces
Explore Whitney umbrellas in smooth mappings from surfaces to 3D space. Discover the interplay between defining equations and parametrizations of singular surfaces.
Elementary Differential Topology Applied to a Problem in Partial Differential Equations: Theoretical Aspects - 2023
Explore elementary differential topology applied to conservation laws, focusing on a 3D wave manifold and its properties for solving Riemann problems in partial differential equations.
Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
Unifying distance fields, persistent homology, and Morse theory to quantify complex shape textures, with applications in characterizing vascular structures in leukemia samples.
Topology - Lecture 12
Explore advanced concepts in topology, including complex geometric structures and their properties, in this comprehensive lecture by mathematician Bruno Zimmerman.
Differential Topology for Diamonds
Explores Banach-Colmez tangent spaces for diamonds in smooth rigid analytic varieties, proposing conjectures on preperfectoid loci and cohomological smoothness, with examples and computations.
Milnor Spheres - 60 Years Later
Explore Milnor Spheres through a category theory lens, examining recent findings and insights in this seminar on classical differential topology by Ludmil Katzarkov.
TQFTs and the Renaissance of the Algebraic Topology of Manifolds
Explore the resurgence of algebraic topology in manifold studies, focusing on Topological Quantum Field Theories and their impact on modern mathematical research.
Bordism of Derived Orbifolds - Lecture 3
Explore advanced mathematical concepts in bordism theory and derived orbifolds with Stanford University expert Mohammed Abouzaid in this Fields Institute lecture.
Bordism of Manifolds - Lecture 1
Explore the concept of bordism in manifolds with Stanford's Mohammed Abouzaid, delving into advanced mathematical theories and their applications in topology and geometry.
On the Fukaya-Morse A-infinity Category
Explore the intricacies of Fukaya-Morse A-infinity category with Pavel Mnev, delving into advanced mathematical concepts and their applications in topology and geometry.
Brazil-France School on Foliation Theory - Lecture
Explore advanced concepts in foliation theory with renowned mathematician Carolina Araujo in this Brazil-France School lecture.
Poincare Duality and TQFT Structures for Loop Spaces
Explore Poincaré duality and TQFT structures in loop spaces, delving into advanced algebraic topology concepts with K. Cieliebak from Augsburg.
The Geometric Ideas of René Thom Related to Manifolds with Singularities
Explore René Thom's groundbreaking papers on transversality, cobordism, and manifolds with singularities, revealing their geometric insights and impact on mathematical understanding.
Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture
Explore stable homotopy groups, spectra, and their applications in topology and geometry. Gain insights into fundamental concepts shaping modern algebraic topology and related fields.
Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure
Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.
Topological Aspects in Algebraic Optimizations
Explore advanced mathematical concepts connecting topology and algebraic optimization theory through rigorous analysis of fundamental physics principles and combinatorial methods.