A Grassmann algebra for matroids

Algebra Seminar
Monday, February 15, 2016 - 15:05
1 hour (actually 50 minutes)
Skiles 006
University of Georgia
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.