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.
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.
Cohomologically Tropical Varieties and Mixed Hodge Structures
Delve into advanced geometric concepts exploring tropicalizations of torus subvarieties, focusing on Poincaré duality and mixed Hodge structures in relation to hyperplane arrangements.
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.
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.
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.
Matroid Tautological Classes in Types A and B
Explore matroid tautological classes in Types A and B, covering definitions, examples, applications, and connections to root systems and Hodge theory.
The Geometry of Geometries - Matroid Theory, Old and New
Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
Linear Matroid Matching in the Oracle Model
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.
Correlation Inequalities for Schur Functions and Young Tableaux
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.
Toric Matroid Bundles - Algebraic Geometry and Combinatorics
Explore toric matroid bundles with Christopher Manon, delving into advanced mathematical concepts and their applications in toric topology and geometry.
Realization Spaces of Polytopes and Oriented Matroids
Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
The Orlik-Terao Algebra and a Surprising Duality
Explore the Orlik-Terao algebra and uncover a surprising duality in mathematics with insights from postdoctoral research.
The Realization Space of a Matroid
Explore the intricacies of matroid realization spaces with Lukas Kühne, delving into advanced mathematical concepts and their applications in combinatorial geometry.
Faster Matroid Intersection - Winter 2020 Theory Seminar
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.
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.
Tropical Quiver Representations and Their Geometric Applications
Delve into advanced algebraic geometry concepts through tropical quiver representations, exploring Grassmannians, flag varieties, and their matroidal analogues as fundamental moduli spaces.
Limitations of Stochastic Selection with Pairwise Independent Priors
Explore stochastic selection problems with pairwise-independent priors and matroid constraints, examining limitations and optimal bounds for contention resolution and prophet inequalities.
Polypositroids - An Introduction to Combinatorial Physics
Delve into advanced combinatorial mathematics as Postnikov explores polypositroids, their properties, and applications in fundamental physics through theoretical frameworks and practical examples.
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.