Spring 2010, Thursdays, Milner 216, 4:00-4:50 PM

Date: March 11

"  Combinatorics by algebra, algebra by combinatorics "
  Prof.Laura Matusevich  


Given a simplicial complex, one can associate to it a Stanley--Reisner ring. Given a polytope, one can associate to it a toric variety. In these cases, one has a "dictionary" between the combinatorics on the one side and algebra on the other, which can be exploited to the benefit of both. I will illustrate this interaction using some of my favorite examples.