From Matroids to Moduli Spaces
Explore the mathematical foundations of matroids and their applications in OSCAR software, focusing on hyperplane arrangements, particle physics, and algebraic geometry applications.
Tropical Vector Bundles and Matroids
Delve into advanced geometric concepts exploring toric vector bundles, matroids, and their tropical counterparts through classification, equivariant K-theory, and characteristic classes.
Paths to Matroid Representations
Delve into advanced matroid theory, exploring representation theorems, connectivity statements, and orthogonal matroids through historical developments and modern algebraic approaches.
Multimatroids and Rational Curves with Cyclic Action
Explore the intersection of multimatroids and rational curves, discovering how these mathematical structures connect through combinatorial formulas and independence polytopal complexes in topological graph theory.
The External Activity Complex of a Pair of Matroids
Delve into advanced matroid theory, exploring external activity complexes and their relationship to Schubert varieties, with applications to tautological classes and Speyer's matroid invariant.
Cynthia Vinzant - Log Concave Polynomials and Matroids
Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I
Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II
Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.
Greg Henselman - Matroids & Canonical Forms Theory and Applications
Explore matroids and canonical forms, their theoretical foundations, and practical applications in algebraic topology and related fields.
Matroids, Delta Matroids, and Knot Invariants
Explore matroids, delta matroids, and their applications in knot theory with Sergei Lando. Gain insights into these mathematical structures and their role in understanding knot invariants.
Vector-valued Laurent Polynomial Equations, Toric Vector Bundles and Matroids
Explore connections between Laurent polynomials, toric vector bundles, and matroids in algebraic geometry and topology with expert Kiumars Kaveh.
Chow Polynomials of Matroids
Explore the intriguing world of Chow polynomials in matroid theory with Luis Ferroni's concise presentation on this advanced mathematical concept.
Combinatorics of the Amplituhedron
Explore the amplituhedron's connections to cluster algebras, matroids, and combinatorics in this gentle introduction by Lauren Williams from Harvard University.
Derived Categories of Permutahedral Varieties Through Matroids
Explore derived categories of permutahedral varieties using matroid theory, uncovering connections between algebraic geometry and combinatorics.
K-rings of Wonderful Varieties and Matroids
Explore K-rings of wonderful varieties and matroids with Shiyue Li, delving into advanced mathematical concepts and their applications in algebraic geometry.
Quotient Sparsification for Submodular Functions
Explores sparsification of matroids and submodular functions, unifying graph and hypergraph cut sparsifiers with applications to set systems and algorithmic efficiency.
Complexity of Log-concave Inequalities in Matroids
Delve into the mathematical complexity of log-concave inequalities in matroids, exploring combinatorics, complexity theory, and geometric approaches to understanding Mason's conjecture and related mathematical concepts.
Valuated Delta Matroids and Principal Minors
Delve into advanced mathematical concepts of valuated Delta matroids, their relationship with principal minors of Hermitian matrices, and their applications in combinatorial structures.
Geometry of Delta-Matroids
Explore advanced geometric constructions in delta-matroids, examining their relationship to matroids and proving ultra log-concavity of independent sets in mathematical structures.
The Moduli Space of Matroids - Lecture 1
Delve into advanced mathematical concepts exploring matroid theory, F1-geometry, and tropical schemes, focusing on Baker-Bowler's theory and its applications to Grassmannians and representation theory.
Matroids and Amplitudes: From Linear Independence to Scattering Theory
Delve into the mathematical theory of matroids, exploring their relationship with scattering amplitudes, intersection theory, and positive geometry through advanced theoretical physics concepts.