Chennai Mathematical Institute


Research seminar by MSc students
11:50 - 1:05, Seminar Hall
Geometric Invariant Theory

Sridhar V.
Chennai Mathematical Institute.


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 quasi-projective variety, for a given polarization, I will define the notions of semi-stable and stable points and show how the set of semi-stable 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.)