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M-Seminar, Kansas State University

Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians

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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…
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Birkhoff Sums as Distributions in Dynamical Systems

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Explore Birkhoff sums as distributions in dynamical systems, examining regularity results for hyperbolic systems and applications to deformation theory in one-dimensional dynamical systems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 4

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Delve into spectrum rigidity and joint integrability for Anosov systems on tori. Explore topological conjugacy of non-invertible Anosov maps on 2-torus and its implications for smooth conjugacy along stable foliations.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 3

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Delve into spectrum rigidity and joint integrability for Anosov systems on tori. Explore the equivalence between geometric rigidity and dynamical spectral rigidity in Anosov diffeomorphisms, focusing on irreducible cases with split stable bundles.
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1 Lesons
58 minutes
On-Demand
Free-Video
Insights into Mathematics

Classification of Combinatorial Surfaces - Algebraic Topology - NJ Wildberger

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Introduction to the classification of connected compact combinatorial surfaces in algebraic topology, covering key concepts like polygons, vertices, traversing, Euler number, and orientability.
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12 Lesons
51 minutes
On-Demand
Free-Video
Insights into Mathematics

Two-Dimensional Objects - The Torus and Genus - Algebraic Topology

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Explore surfaces like cylinders and tori, understanding their properties and connections to complex function theory. Learn about genus and how planes cover different surfaces.
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10 Lesons
50 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Symmetric and Symmetrized Topological Complexity of the Torus

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Explore symmetric and symmetrized topological complexity of the torus, completing the description for closed surfaces using obstruction theory and explicit resolution of integers over full braid group.
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1 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Equidistribution of Linear Random Walks on the Torus

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Explores quantitative equidistribution for linear random walks on the torus, presenting recent progress relaxing the proximality assumption in Bourgain et al.'s work. Joint research with Nicolas de Saxcé.
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1 Lesons
43 minutes
On-Demand
Free-Video
Insights into Mathematics

Fundamental Group of Surfaces - Multiplication and Properties

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Explores fundamental group of surfaces, proving loop multiplication forms a group. Covers torus and projective plane, with examples and a problem on describing fundamental groups.
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9 Lesons
35 minutes
On-Demand
Free-Video
Insights into Mathematics

Delta Complexes, Betti Numbers, and Torsion in Algebraic Topology

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Explore homology groups of torus and projective plane using delta-complexes. Learn about Betti numbers and torsion in algebraic topology, with practical computations and insights into fundamental concepts.
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1 Lesons
48 minutes
On-Demand
Free-Video
Insights into Mathematics

Covering Spaces and Fundamental Groups - Algebraic Topology Lecture 28

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Exploring covering spaces and fundamental groups, focusing on torus examples and key lemmas to understand relationships between covering spaces and base spaces.
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1 Lesons
47 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Rank Voronoi Decompositions and Metric Degenerations of Tori

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Explore higher rank Voronoi decompositions and their applications in studying asymptotic geometry of Riemann surfaces and moduli spaces.
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1 Lesons
47 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Strict Ergodicity and Transformation of the Torus

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Explore strict ergodicity and torus transformations in advanced mathematics, focusing on dynamic geometry concepts and their applications.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

KAM Tori for the Nonlinear Klein-Gordon Equation in the Non-Relativistic Limit

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Explore effective theories in classical and quantum particle systems, focusing on KAM tori for the Nonlinear Klein Gordon equation in the non-relativistic limit.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dirac Eigenvalue Optimization and Harmonic Maps

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Explore Dirac eigenvalue optimization, comparing it to Laplace eigenvalues and examining critical metrics' correspondence with harmonic maps to complex projective spaces.
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1 Lesons
53 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Macdonald Dualities in Genus One and Two

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Explore Macdonald/Koornwinder polynomial dualities, from spherical Double Affine Hecke Algebra on a torus to genus two Macdonald theory, with Philippe Di Francesco.
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1 Lesons
45 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Isomonodromy-CFT Correspondence on a Torus and Modular Transformation of c=1 Toric Conformal Blocks

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Explore isomonodromy-CFT correspondence on tori and modular transformations of c=1 toric conformal blocks, delving into advanced concepts in mathematical physics.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Up and Atom

The Bizarre Shape of the Universe - Exploring Topology and Geometry in Cosmology

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Explore the universe's shape through topology, geometry, and recent research. Delve into flat geometries, 2D and 3D torus models, and the search for closed loops in space.
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11 Lesons
19 minutes
On-Demand
Free-Video
NCCR SwissMAP

Magnetic Bundle in the Multilayer Model of the Fractional Quantum Hall Effect on a Torus

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Explore the magnetic bundle in multilayer models of fractional quantum Hall effect on a torus, delving into advanced concepts in quantum physics and topology.
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1 Lesons
1 hour
On-Demand
Free-Video