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Matroid Theory

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The DNA Coverage Depth Problem and Matroid Theory

Explore the mathematical connections between DNA coverage depth problems and matroid theory in this theoretical computer science talk by Alberto Ravagnani.
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Institute for Pure & Applied Mathematics (IPAM)
The Polytope of All Matroids - A Framework for Matroid Theory Conjectures

Delve into advanced matroid theory through an exploration of polytope construction, valuative invariants, and their role in proving or disproving key conjectures in combinatorial mathematics.
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Nonlinear Spaces from Linear Spaces - A Matroid Theory Perspective

Explore the fascinating intersection of matroid theory and nonlinear geometry, discovering how linear subspaces give rise to unexpected geometric insights and combinatorial patterns.
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Operadic Structures in Matroid Theory: From Classical Associative Structures to Applications

Delve into advanced mathematical concepts exploring operadic structures and their applications in matroid theory, focusing on Chow rings and Orlik-Solomon algebras through detailed examples.
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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.
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Spaces of Lorentzian Polynomials

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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The Foundation of a Generalized Parallel Connection

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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Baker-Bowler Theory for Lagrangian Grassmannians

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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Towards Generalized Schubert Varieties and Anabelian Matroids

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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Frame Matroids with a Distinguished Frame Element

Explore the characterization of 3-connected frame matroids with a fixed element in their frame, including graphical representations and recognition algorithms.
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Intersection Theory of Matroids - Variations on a Theme

Delve into advanced combinatorial structures and computational methods in Chow rings, exploring matroid intersection theory through multiple mathematical perspectives and proofs.
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Derived Categories of the Permutahedral Varieties

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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Canonical Forms of Oriented Matroids

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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Tropical Ideals and Their Properties in Polynomial Rings

Delve into the mathematical foundations of tropical ideals, exploring their combinatorial properties, matroid representations, and connections to polynomial rings through advanced algebraic geometry concepts.
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Singular Matroid Realization Spaces

Explore Dante Luber's presentation on Singular Matroid Realization Spaces, part of a workshop examining combinatorial methods in algebraic geometry and number theory.
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