The matroids seminar & reading group meets 10:00--10:45 on Fridays in Van Vleck 901 in order to discuss matroids from a variety of viewpoints. In particular, we aim to
- survey open conjectures and recent work in the area
- compute many interesting examples
- discover concrete applications
We are happy to have new leaders of the discussion, and the wide range of topics to which matroids are related mean that each week is a great chance for a new participant to drop in!
To help develop an inclusive environment, a subset of the organizers will be available before the talk in the ninth floor lounge to informally discuss background material e.g., "What is a variety?" (this is especially for those coming from an outside area).
Introduction to matroids
We'll cover the basic definitions and some examples, roughly following these notes.
|1/25/2019 & 2/1/2019||
We talk about algebraic matroids, matroid polytopes, and their connection to algebraic geometry.
Proving the Heron-Rota-Welsh conjecture
We outline the proof of the Heron-Rota-Welsh conjecture given by Adiprasito, Huh, and Katz in their paper Hodge theory for combinatorial geometries
We outline the original formulation of matroid polytopes as moment polytopes of subvarieties of the Grassmanian, following Combinatorial Geometries, Convex Polyhedra, and Schbert Cells.