Tangent Groupoid in Noncommutative Geometry - Lecture 15
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Tangent Groupoid in Noncommutative Geometry - Lecture 16
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 3
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.
Analog and Universal Complexity in Robotics and Manifolds
Explore analog complexity in robotics, comparing digital and analog approaches. Discover surprising properties of analog category and its implications for finite groups and parametrized complexity.
The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures
Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
Connections Between Geometry and Partial Differential Equations
Explore the fascinating interplay between geometric structures and partial differential equations, uncovering deep mathematical insights and applications.
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.
Classification of Locally Standard Torus Actions
Explore the classification of locally standard torus actions in this advanced mathematical talk, delving into complex topological concepts and their applications.
Extending Complexity One Hamiltonian Actions
Explore Hamiltonian actions in toric topology with Susan Tolman, focusing on extending complexity one actions and their implications in algebraic geometry and symplectic geometry.
Integrating Vector Fields on Subcartesian Spaces
Explore advanced mathematical concepts in vector field integration on subcartesian spaces with expert Yael Karshon, part of a broader workshop and program on toric topology.
On the Rigidity of Some Hirzebruch Genera
Explore Hirzebruch genera rigidity in this mathematical talk, delving into advanced concepts of toric topology and geometry presented by expert Georgii Chernykh.
Bordism of Orbifolds - Lecture 2
Explore the concept of bordism in orbifolds with Stanford's Mohammed Abouzaid, delving into advanced mathematical theories and their applications in toric topology and geometry.
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.
Lie Groupoids Determined by Their Orbit Spaces
Explore how Lie groupoids are uniquely determined by their orbit spaces, delving into advanced concepts in Hamiltonian geometry and mathematical physics.
Differentiating in a Non-Differentiable Environment
Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.
Curvature Tensors and Measures of Singular Spaces - Part I
Explore curvature tensors and measures of singular spaces in advanced geometry, focusing on concepts beyond Riemannian geometry.
Minimality of the Compact-Open Topology on Diffeomorphism and Homeomorphism Groups
Explore minimality of compact-open topology on diffeomorphism groups, its implications for homeomorphism groups, and connections to automatic continuity results.
A Non-symmetric Kesten Criterion for Random Walks on Groups
Explore a non-symmetric version of Kesten's criterion for random walks on countable groups, relating to amenability and probability of return to identity.
Oka Tubes in Holomorphic Line Bundles
Explore Oka tubes in holomorphic line bundles with Franc Forstneric, delving into advanced concepts in complex analysis and geometry.
Frame PB-Groupoid of a VB-Groupoid
Explore properties of special principal bundles, focusing on frames of VB-groupoids and their relation to geometric connections and structures on Lie groupoids.