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Calculus IV Section 2 Spring 2010
Math G6294: Topics in Algebraic Geometry
I plan to discuss the geometry of vector bundles on algebraic varieties, concentrating on the case of curves and surfaces. Possible topics include: generalities on Chern classes, methods of construction of bundles, definitions of stability, examples for curves, construction of the GIT moduli space, Narasimhan-Seshadri theorem, examples for surfaces, Bogomolov's theorem, some qualitative results on the moduli spaces of vector bundles over surfaces.
Prerequisites: A good working knowledge of algebraic geometry(including basics on curves and surfaces) at the level of Hartshorne's book.
First meeting:
Wednesday, Jan. 20 at 11 AM in 307 Math. Thereafter we will meet in 507 Math.
Algebraic Geometry Seminar