WebMar 5, 2024 · Matroid theory is an abstraction of linear independence that has connections to various aspects of combinatorics, algebra, and geometry. I will outline a recent … WebBuilding on a recent paper [8], here we argue that the combinatorics of matroids are intimately related to the geometry and topology of toric hyperkähler varieties. We show that just like toric varieties occupy a central role in Stanley’s proof for the necessity of McMullen’s conjecture (or g -inequalities) about the classification of face ...
Quaternionic geometry of matroids SpringerLink
Weba matroid, to explore its connections to complex algebraic geometry (in particular to Hodge theory), and to give an overview of the Hodge theory of matroids developed in [AHK18] and its application to the log-concavity conjecture. A good and concise survey of the topics covered in this seminar is [Bak18], which can be WebNov 5, 2012 · Matroids can be thought of in many different ways; we tried to make that point in Chapter 2. But the common thread running through all of our different approaches to the subject is the underlying connection to geometry. When we “draw a picture of amatroid,” we are thinking of the elements of the matroid as points and the dependences as ... push roughly dan word
Finite geometry (Chapter 5) - Matroids: A Geometric Introduction
WebGRAPHS, MATROIDS, AND MODULI SPACES MELODY CHAN Contents 1. Engaged Pedagogy 2 Part 1. Graphs 3 2. Basics. Spanning trees 3 3. Parking functions 4 4. The matrix tree theorem 5 ... The proof features the geometry of Hilb n(C2): GRAPHS, MATROIDS, AND MODULI SPACES 5 4. The matrix tree theorem De nition 4.1. … WebJun 1, 1989 · Related aspects and open problems in the algebraic geometry of matroids are discussed. cc, 1989 Academic Press, Inc. 1. INTRODUCTION AND STATEMENT OF THE PROBLEM The subject of this paper is the algebraic geometry of matroids or combinatorial geometries in the sense of Crapo and Rota [3] (see also [5, 8, 10, 17]). WebApr 13, 2024 · AbstractIn this talk, I will consider isomorphisms of Bergman fans of matroids. Motivated by algebraic geometry, these isomorphisms can be considered as matroid analogs of birational maps. I will introduce Cremona automorphisms of the coarsest fan structure. These produce a class of automorphisms which do not come from … push roughly 6 crossword