Differential Galois Theory, Spring Term 2014

Schedule: On Tuesdays 12:00 - 13:20, room 311 at the Faculty of Mathematics of HSE (Vavilova 7)

Instructor: Florian Heiderich

Office hours: Tuesday, 3:30 pm - 5:00 pm, room 309

Topics planned to be discussed: differential rings, linear differential equations, differential modules, Picard-Vessiot theory, Hopf algebras, affine group schemes, theory of Tannaka categories, Tannakian approach to linear differential equations

Prerequisites: Algebra and basic algebraic geometry.


Picard-Vessiot theory:
  1. Teresa Crespo and Zbigniew Hajto. Algebraic groups and differential Galois theory, volume 122 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2011.
  2. Andy R. Magid. Lectures on differential Galois theory, volume 7 of University Lecture Series. American Mathematical Society, Providence, RI, 1994.
  3. Marius van der Put and Michael F. Singer. Galois Theory of Linear Differential Equations. Springer, Berlin, 2003. Available online from the homepage of Michael Singer
Hopf algebras: Tannakian categories: General category theory:

There is a typo in exercise 19: The letter A must be replaced by H.