Quillen Stratification Theorems - Lecture 4
Explore Quillen Stratification Theorems in algebraic topology, examining their applications and implications for understanding cohomological support varieties and triangulated categories.
Homotopy Theories of Coalgebras
Explore homotopy theories of simplicial coalgebras, extending algebraic models for p-adic homotopy theory to include fundamental groups. Discover key ideas and potential G-equivariant analogs.
Equivariant A-Theory & Spaces of Equivariant H-Cobordisms
Explore equivariant A-theory and h-cobordisms, focusing on Waldhausen's algebraic K-theory of manifolds and its role in classifying manifolds and diffeomorphisms.
From Abelian Anyons in Moiré Matter to Non-Abelions in Synthetic Quantum Systems - Ashvin Vishwanath
Explore the interplay of topology, symmetry, and interactions in quantum systems, from Abelian anyons in moiré matter to non-Abelions in synthetic structures, with insights on recent theoretical and experimental advancements.
Quadrature Rules on Manifolds - Useful Results - Lecture 3
Explore advanced quadrature techniques for manifolds, focusing on key results and applications in harmonic analysis. Gain insights into cutting-edge mathematical approaches.
Quadrature Rules on Manifolds - Designs - Lecture 1
Explore quadrature rules on manifolds and designs in harmonic analysis. Learn about cutting-edge mathematical techniques for solving complex problems in geometry and analysis.
Bounds for the Higher Topological Complexity of Configuration Spaces
Explore bounds for higher topological complexities in unordered configuration spaces of trees and anchored configuration spaces of circles with two anchor points.
Tangent Groupoid in Noncommutative Geometry - Lecture 12
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 13
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
Random Monomial Ideals - Seminar on Applied Geometry and Algebra
Explore probabilistic models of random monomial ideals, their properties, and applications in algebraic geometry. Gain insights into average behavior of ideals and potential for generating algebraic objects.
What is the Shape of a Rational Map?
Explore the fascinating world of rational maps and their shapes in this engaging mathematical lecture by Sarah Koch, delving into complex dynamics and geometric structures.
Quintessential Quandle Queries
Explore the intriguing world of quandles, a mathematical structure with applications in knot theory and group theory, in this engaging invited address by Alissa Crans.
Topological Methods in Discrete Geometry
Explore topological applications in discrete geometry, focusing on mass partitions and Helly-type theorems. Learn about classical results and recent generalizations in these areas.
Bernardo Uribe, UniNorte - Bordism and Birational Invariants of Finite Groups
Explore birational invariants of finite groups and their connection to bordism invariants of equivariant manifolds, focusing on Bogomolov's results in this advanced mathematical topic.
Isotropic Killing Vector Fields and Related Structures on Complex Surfaces
Exploration of isotropic Killing vector fields on complex surfaces, examining integrable structures, topology, and geometric properties in 4-dimensional manifolds with split-signature metrics.
Generalized Logarithmic Transformation in Exotic Spheres and Homotopy Hopf Manifolds
Explore generalized logarithmic transformations in topology, including $\star$-diagrams, spherical T-duality, and applications to exotic spheres and homotopy Hopf manifolds.
Spherical T-Duality Meets Exotic Spheres and Homotopy Hopf Manifolds
Explore spherical T-duality, its relation to 7-dimensional homotopy spheres, and implications for complex structures on exotic manifolds in this advanced mathematical discussion.
Cohomological Donaldson-Thomas Invariants of 3-Manifolds - Part 2
Explore Morse homology of complex Chern-Simons functional, its connections to supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.
Tangent Groupoid in Noncommutative Geometry - Lecture 5
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
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.