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The Series Finale of Online Education: Coursera Acquires Udemy

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Applied Algebraic Topology Network
Modeling Shapes and Fields - A Sheaf Theoretic Perspective

Explore topological transforms for shape and field modeling, including Euler Characteristic and Lifted Euler Characteristic. Learn about sheaf theory in shape space construction and its applications in statistical analysis.
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Applied Algebraic Topology Network
Homology of Graphs and Hypergraphs

Explore topological structures of graphs and hypergraphs, including recent findings on homology and persistent homology, with applications in combinatorial and metric space analysis.
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NCCR SwissMAP
Depth Reductions of Multiple Polylogarithms

Explore advanced mathematical techniques for reducing the depth of multiple polylogarithms in this specialized research presentation from MPIM Bonn.
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Insights into Mathematics
Algebraic Topology

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Banach Center
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2

Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
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Banach Center
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2

Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
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Banach Center
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 1

Explore quivers, Nahm sums, and hidden symmetries in knot homologies with expert Dmitry Noshchenko in this advanced mathematics lecture.
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Cambridge University Press
A Characterization of 3D Steady Euler Flows Using Commuting Zero-Flux Homologies

Explore 3D steady Euler flows characterization using commuting zero-flux homologies. Extends Sullivan's work, proves impossibility of plug constructions, and discusses higher-dimensional applications.
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Heisenberg Homologies of Configurations in Ribbon Graphs

Explore Heisenberg homologies in ribbon graffs configurations, focusing on quantum topology and representation theory.
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Topological 5D N=2 Gauge Theories - Mirror Symmetry and Langlands Duality of A-infinity Categories of Floer Homologies

Explore advanced connections between 5-dimensional supersymmetric gauge theories, mirror symmetry, and Langlands duality through A-infinity categories of Floer homologies.
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ICTP Mathematics
Topology - Lecture 3

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Insights into Mathematics
Introduction to Homology in Algebraic Topology - Part 2

Explores cycles, boundaries, and homology in algebraic topology, focusing on graph modifications and using commutative group theory to analyze formal combinations of geometric elements.
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Insights into Mathematics
An Introduction to Homology - Algebraic Topology

Explore higher-dimensional topology through homology groups, cycles, and spanning trees. Learn to compute and characterize independent cycles in graphs using algebraic techniques.
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The More General Euler Characteristic Formula - Understanding Surface Topology

Explore the deeper implications of Euler's characteristic formula as an inequality, examining its relationship with genus, Morse functions, and topological surfaces through intuitive explanations.
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Workshop on Representation Theory and Geometry

Explore advanced topics in representation theory and geometry through expert lectures on symplectic resolutions, Langlands functoriality, and algebraic groups.
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