A Grassmann algebra for matroids

Series
Algebra Seminar
Time
Monday, February 15, 2016 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Noah Giansiracusa – University of Georgia – https://sites.google.com/site/noahgian/
Organizer
Josephine Yu
I'll discuss joint work with my brother Jeff Giansiracusa in which we introduce an exterior algebra and wedge product in the idempotent setting that play for tropical linear spaces (i.e., valuated matroids) a very similar role as the usual ones do for vector spaces. In particular, by working over the Boolean semifield this gives a new perspective on matroids.