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#Matroid Theory

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Institute for Advanced Study

Decoupling Identities and Oriented Matroids and Beyond

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Explore advanced mathematical concepts in decoupling identities and oriented matroids, delving into their applications and extensions in physics and beyond.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Advanced Study

Spaces of Lorentzian Polynomials

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Delve into advanced mathematical concepts exploring Lorentzian polynomials, their topology, and relationship with local Dressians, featuring insights on compactification and Tutte group connections.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Cohomologically Tropical Varieties and Mixed Hodge Structures

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Delve into advanced geometric concepts exploring tropicalizations of torus subvarieties, focusing on Poincaré duality and mixed Hodge structures in relation to hyperplane arrangements.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institute for Advanced Study

The Foundation of a Generalized Parallel Connection

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Delve into advanced matroid theory, exploring foundations, generalized parallel connections, and their relationship with tensor products in algebraic geometry and representation theory.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Advanced Study

Baker-Bowler Theory for Lagrangian Grassmannians

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Delve into advanced mathematical concepts exploring Baker-Bowler theory's extension to Lagrangian Grassmannians, covering matroid theory, symplectic vector spaces, and cryptomorphic definitions.
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1 Lesons
57 minutes
On-Demand
Free-Video
Institute for Advanced Study

Towards Generalized Schubert Varieties and Anabelian Matroids

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Delve into advanced geometric theories connecting Huh's matroid discoveries with Schubert varieties, exploring applications in statistics and combinatorics through mixed Eulerian numbers.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Matroid Tautological Classes in Types A and B

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Explore matroid tautological classes in Types A and B, covering definitions, examples, applications, and connections to root systems and Hodge theory.
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11 Lesons
22 minutes
On-Demand
Free-Video
International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

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Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Linear Matroid Matching in the Oracle Model

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Explores linear matroid matching in the oracle model, replacing linear algebraic computation with repeated oracle-calls along alternating paths to solve challenging problems in connectivity, rigidity, and count matroids.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Correlation Inequalities for Schur Functions and Young Tableaux

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Explore correlation inequalities in mathematics, focusing on Schur functions and Young tableaux. Discover connections to probability, statistical physics, and algebraic combinatorics in this advanced lecture.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Toric Matroid Bundles - Algebraic Geometry and Combinatorics

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Explore toric matroid bundles with Christopher Manon, delving into advanced mathematical concepts and their applications in toric topology and geometry.
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1 Lesons
39 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Realization Spaces of Polytopes and Oriented Matroids

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Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institute for Advanced Study

The Orlik-Terao Algebra and a Surprising Duality

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Explore the Orlik-Terao algebra and uncover a surprising duality in mathematics with insights from postdoctoral research.
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1 Lesons
18 minutes
On-Demand
Free-Video
Institute for Advanced Study

The Realization Space of a Matroid

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Explore the intricacies of matroid realization spaces with Lukas Kühne, delving into advanced mathematical concepts and their applications in combinatorial geometry.
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1 Lesons
18 minutes
On-Demand
Free-Video
Paul G. Allen School

Faster Matroid Intersection - Winter 2020 Theory Seminar

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Explores faster algorithms for matroid intersection, improving exact and approximate solutions using independence and rank oracles. Advances in runtime complexity for this classic problem in combinatorial optimization.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Advanced Study

Derived Categories of the Permutahedral Varieties

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Delve into the geometric and combinatorial analysis of derived categories in toric varieties, exploring permutahedron's role in matroid theory through convex-geometric approaches.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Advanced Study

Tropical Quiver Representations and Their Geometric Applications

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Delve into advanced algebraic geometry concepts through tropical quiver representations, exploring Grassmannians, flag varieties, and their matroidal analogues as fundamental moduli spaces.
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1 Lesons
58 minutes
On-Demand
Free-Video
Google TechTalks

Limitations of Stochastic Selection with Pairwise Independent Priors

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Explore stochastic selection problems with pairwise-independent priors and matroid constraints, examining limitations and optimal bounds for contention resolution and prophet inequalities.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institute for Advanced Study

Polypositroids - An Introduction to Combinatorial Physics

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Delve into advanced combinatorial mathematics as Postnikov explores polypositroids, their properties, and applications in fundamental physics through theoretical frameworks and practical examples.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Institute for Advanced Study

Canonical Forms of Oriented Matroids

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Delve into advanced mathematical concepts exploring oriented matroids, their canonical forms, and applications in combinatorial physics through expert analysis and theoretical frameworks.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video