Graduate Student Colloquium
Alex Stathis
UIC
Intersection Theory on the Grassmannian
Abstract: A common problem in algebraic geometry is to count the number of objects satisfying given geometric conditions. These could be collections of points, curves, varieties, or almost any conceivable geometric object. Intersection theory is a useful tool in computing these numbers. The easiest and most well understood example is that of the Grassmannian, and more specifically, the first nontrivial Grassmannian of planes in four space. I'll define all the basic objects and we'll compute the intersection product on this Grassmannian. Throughout the talk, I'll attempt to point out how intersection theory is useful in simplifying geometric counting problems.
There will be food.
Room change! The GSC will now be held in Burnham Hall 209.
Monday September 14, 2015 at 4:00 PM in BH 209