Matroids Courses and Certifications

Institute for Advanced Study

Geometry of Matroids Workshop

Explore advanced geometric structures and tropical methods in matroid theory through expert lectures on delta-matroids, quiver representations, and moduli spaces.

• YouTube
• 15 hours 29 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Tropical Subrepresentations and Matroids

Explore the concept of tropical subrepresentations in linear representations, their connection to matroids, and elementary results from Jaiung Jun's joint research work.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Institute for Advanced Study

TLog-concavity and Matroids - Part 2

Delve into the connections between matroids and log-concave polynomials, exploring their geometric properties and applications to combinatorics, algebraic geometry, and random walks.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institute for Advanced Study

TLog-concavity and Matroids - Part 1

Explore the theory of matroids and their connection to log-concave polynomials, examining the geometric principles and applications to combinatorics, algebraic geometry, and optimization.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Inequalities for Trees and Matroids

Delve into advanced mathematical concepts exploring distance matrices, trees, and matroids, examining their spectral properties and discovering novel inequalities in graph theory and network design.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Generalized Hamming Weights and Symbolic Powers of Stanley-Reisner Ideal Matroids

Delve into advanced coding theory concepts exploring generalized Hamming weights, symbolic powers of Stanley-Reisner ideals, and their connections to matroid theory in this mathematical research presentation.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Valuative Invariants of Matroids and Their Geometric Interpretations

Delve into the geometric interpretations of matroid invariants, exploring valuative properties and their connections to Chow rings of toric varieties through advanced mathematical concepts.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Harvard CMSA

Tautological Classes of Matroids

Explore the intersection of algebraic geometry and matroid theory through vector bundles on permutohedral varieties, unifying recent developments in combinatorial and geometric approaches.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institute for Advanced Study

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.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Twisted (Co)homology of Matroids and Hyperplane Arrangement Complements

Delve into advanced mathematical concepts exploring twisted (co)homology, hyperplane arrangements, and matroidal pairings, with applications to scattering amplitudes in physics.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video