Tangent Groupoid in Noncommutative Geometry - Lecture 6
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 4
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 20
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Mohammed Abouzaid: Bordism and Floer Theory
Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
Tangent Groupoid in Noncommutative Geometry - Lecture 19
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 17
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Geodesic Complexity and Fibered Decompositions of Cut Loci
Explore geodesic complexity in Riemannian manifolds, focusing on cut locus structure and fibered decompositions to establish bounds and applications in projective and lens spaces.
Tangent Groupoid in Noncommutative Geometry - Lecture 18
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 21
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Homeomorphisms of Euclidean Space
Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.
Tangent Groupoid in Noncommutative Geometry - Lecture 11
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 9
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 10
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 7
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 8
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
A Brief History of Geometry II: The European Epoch - From Cartesian to Differential Geometry
Explore the European evolution of geometry, from Cartesian to differential, highlighting key developments and their impact on mathematics. Gain insights into this fundamental discipline's historical significance.
Quadratic Curvature for Algebraic Curves - Differential Geometry Lecture 15
Explores advanced formulas for curvature of algebraic surfaces in 3D space, focusing on the normal paraboloid as key to encoding quadratic metrical information and curvatures in general situations.
Gauss's View of Curvature and the Theorema Egregium - Differential Geometry Lecture 35
Explores Gauss's curvature concept, Theorema Egregium, and discrete curvature in polyhedra. Covers Gauss-Rodrigues map, paraboloids, and the Gauss-Bonnet theorem for a comprehensive look at differential geometry.
Gauss, Normals and Fundamental Forms in Differential Geometry - Lecture 34
Explore Gauss's approach to differential geometry, including parametric surface descriptions, fundamental forms, and the Gauss-Rodrigues map. Learn about Gaussian curvature and its applications in surface analysis.
Differential Geometry: Meusnier, Monge, and Dupin's Work on Surfaces - Lecture 33
Explore Dupin's discoveries in differential geometry, including triply orthogonal surfaces, lines of curvature, and the Dupin indicatrix, with applications to ellipsoids and confocal systems.
Meusnier, Monge and Dupin - Differential Geometry - Lecture 32
Explore Monge's contributions to differential geometry, including descriptive geometry, theorems, and studies on curves, surfaces, and lines of curvature in this advanced mathematics lecture.