Abstract: In this two-part talk, we will define a moduli problem, and we will discuss the solutions in a number of well-known cases. We start by defining the moduli functor. Next, we show that the Grassmannian functor is represented by the Grassmann variety of linear subspaces of projective space. After discussing the Quot scheme in very general terms, we move to the construction of the moduli space of vector bundles of given rank and degree on an algebraic curve.
Date: 19 April 2013, Friday
Place: Bilkent, Mathematics Seminar Room SA-141
Tea and cookies will be served before the talk.
You are most cordially invited.