Mathematical Sciences Research Institute

Home » Matroids over rings


Matroids over rings November 16, 2012 (01:00 PM PST - 01:45 PM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Alexander Fink (School of Mathematical Sciences, Queen Mary, University of London)
Description No Description
No Video Uploaded

A number of generalizations of matroids have been introduced, which contain more information than the purely linear-algebraic data that matroids do. Some examples are Dress and Wenzel's _valuated matroids_ and D'Adderio and Moci's _arithmetic matroids_. This talk is propaganda for a definition: I will introduce a notion of matroid over any commutative ring, of which the foregoing objects are special cases. In the Dedekind domain case, we can prove structure theorems and define the analogue of the Tutte polynomial.
This is joint work with Luca Moci.

No Notes/Supplements Uploaded No Video Files Uploaded