Research seminar by MSc students 11:50  1:05, Seminar Hall Geometric Invariant Theory Sridhar V. Chennai Mathematical Institute. 151018 Abstract Geometric Invariant Theory (GIT) deals with the construction of quotients of group actions in algebraic geometry. I will first explain the basics of GIT starting with the affine case. In the general case of a quasiprojective variety, for a given polarization, I will define the notions of semistable and stable points and show how the set of semistable points admits a good quotient. I will then give an outline of how the question of classifying vector bundles of a given rank and degree over a curve can be phrased as a GIT question. (Will assume familiarity with basic algebraic geometry i.e. language of varieties.)
