Student Algebraic Geometry Seminar


Title: The Gist of Intersection Theory


Abstract: Many problems in algebraic geometry can be attacked using the "intersection product" on a variety: a way of multiplying two cycles that, for subvarieties which intersect nicely, gives the formal sum of the irreducible components of their intersection. In this talk, I will discuss --- with very few proofs --- the basic ideas that go into the construction of the intersection product. I hope to conclude with an example of how to use this machinery to solve a problem in enumerative geometry.