The $K(\pi, 1)$ Conjecture - Part 2
Explore the recent proof of the classical K(π,1) conjecture for affine Artin groups, delving into its mathematical intricacies and implications for algebraic topology.
Quantum Topological Data Analysis - Part 1
Explore quantum persistent homology algorithms for pattern recognition in data, leveraging quantum computing's potential to enhance traditional Topological Data Analysis methods and improve efficiency.
ArcGIS Pro
ArcGIS Pro is desktop GIS software developed by Esri, which replaces their ArcMap software generation. Learn the basics of using ArcGIS such a spatial joins, selections of attributes and layers, raster processing and topograpic analysis in this tutorial…
Topology of Networks in Generalized Musical Spaces
Explore generalized musical spaces through network topology, examining pitch classes, scales, and chord progressions. Gain insights into rhythmic spaces, notation, and perception in music theory.
Autodiagnosis and the Dynamical Emergence Theory of Basic Consciousness
Explore the theory of basic consciousness, its emergence, and related concepts like energy landscapes and metastable states in this thought-provoking discussion on the nature of experience.
Topology Shapes Dynamics of Higher-order Networks
Exploring how higher-order network interactions influence non-linear dynamics, synchronization, and percolation in complex systems like brain networks and climate patterns.
Knotty Problems - Marc Lackenby
Explore knot theory, topology, and unsolved mathematical problems with Professor Marc Lackenby in this engaging lecture on the fascinating world of knots and their applications.
The Banach Contraction Mapping Theorem - Oxford Mathematics 1st Year Lecture
Explore the Banach contraction mapping theorem in this Oxford Mathematics lecture, focusing on guaranteeing convergence of fixed point iterations in one dimension.
The Shape of Relations: Knots and Other Stories in Topological Data Analysis
Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape o…
Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
A Higher Spin Statistics Theorem for Invertible Quantum Field Theories
Explore advanced concepts in quantum field theory, focusing on higher spin statistics and invertible theories. Gain insights from expert Lukas Mueller's seminar on geometry and physics.
Floer Homology with DG Coefficients - Applications to Cotangent Bundles
Explore Floer homology with DG coefficients and its applications to cotangent bundles. Gain insights into symplectic geometry and dynamical systems through advanced mathematical concepts.
A Panorama of Singular Sub-Laplacians and Their Spectra
Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.
Decoupling Identities and Oriented Matroids and Beyond
Explore advanced mathematical concepts in decoupling identities and oriented matroids, delving into their applications and extensions in physics and beyond.
Closure of Orbits of the Pure Mapping Class Group on the Character Variety
Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
Recreational Biology: Topological Puzzles in Cell Biology
Explore fascinating biological puzzles and paradoxes, from toroidal cells to Flatland animals, while discovering initiatives to democratize science and the role of curiosity in exploring the microscopic world.
Linear BV Quantization as a Functor of Infinity Categories - Lecture
Dive into linear BV quantization as a functor of infinity categories, exploring advanced mathematical concepts in this Prague Mathematical Physics Seminar.
Equivariant Symplectic Homology - Ekeland-Hofer Capacities and Gutt-Hutchings Capacities
Explore the connection between Ekeland-Hofer and Gutt-Hutchings capacities in star-shaped domains, unraveling their equivalence through equivariant symplectic homology.
The Fundamental Group of Random 3-Manifolds and Other Random Objects
Dive into the fundamental group of random 3-manifolds, exploring probability distributions and their applications to various categories in mathematics.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
The Weil Conjectures and A1-homotopy Theory
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.