Instructor: Dragos Oprea, doprea "at" math.you-know-where.edu, AP&M 6-101.
Lectures: WF, 1:30-2:50am, APM 7421.
Course description:
The topic for Math 206 this quarter is the Hilbert scheme of points on surfaces.
In the beginning of the course, we will construct the Hilbert scheme in full generality. This is important for a number of moduli problems in algebraic geometry.
For the Hilbert scheme of points on surfaces, we will compute some of the topological invariants. In particular, we express the Euler characteristics in terms of modular forms. Connections with the representation theory of affine Lie algebras will be made.
(This may be a bit too ambitious for a one quarter course, so the goals may change slightly as we go.)
Prerequisites:
Announcements:
Lecture Summaries