GASC Seminar "Matroids of modules over rings, and their structure" by Alex Fink
Matroids of modules over rings, and their structure
Many combinatorial problems call for an object a little bit more informative than a matroid to capture all the relevant information. In toric topology, e.g., this extra information is of arithmetic flavour.
I'll introduce the object Luca Moci and I defined to answer this call -- matroids (of modules) over rings, the ring in this case being Z -- and then show how their structure relates to better-known matroid generalisations, in particular the valuated matroids of A. Dress and W. Wenzel.
The pretalk will review matroids and hyperplane arrangements and their topology in the linear case.
Schedule of the talk:
11:45 - Pre-seminar (25 minutes)
12:15 - Seminar
Monday, September 11 at 11:45am to 1:15pm
Lake Hall, Room 511