Chennai Mathematical Institute

Seminars




MSc (Mathematics) thesis defence talks
2.00 am, Seminar Hall
GIT and the classification of Semistable Vector Bundles over a Curve

V. Sridhar
Chennai Mathematical Institute.
15-04-19


Abstract

Geometric Invariant Theory (GIT) deals with the construction of quotients of group actions in algebraic geometry. I will first discuss the affine case, then the projective case and talk about the Hilbert-Mumford stability criterion and calculate the semistable points for an example. 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.