Lectures: Mondays 10:30 - 12:00 in Seminarraum 103.
Prerequisites:
A fair amount of knowledge of basic algebraic geometry and commutative algebra will be assumed. We will be more or less following the book:
Milne, J. S. Algebraic groups. The theory of group schemes of finite type over a field. Cambridge Studies in Advanced Mathematics, 170. Cambridge University Press, Cambridge, 2017.
Description:
This seminar is meant as a venue for graduate students and postdocs in the chairs of algebra, number theory and representation theory to study and learn together through giving/attending lectures and collaborating on problems and exercises.
Format:
This reading group will take the form of weekly talks given by volunteer participants. We will also have a weekly problem set to get comfortable with the material.
References:
Springer, T. A. Linear Algebraic Groups, second ed. Modern Birkhauser Classics. Birkhauser Boston, Inc., Boston, MA, 2009.
Milne, J. S. Algebraic groups. The theory of group schemes of finite type over a field. Cambridge Studies in Advanced Mathematics, 170. Cambridge University Press, Cambridge, 2017.
Borel, A. Linear algebraic groups. Graduate Texts in Mathematics, 170. 126. Springer-Verlag, New York, 1991.
Humphreys, J. E. Linear algebraic groups. Graduate Texts in Mathematics, No. 21. Springer-Verlag, New York-Heidelberg, 1975.
WEEKLY SCHEDULE:
May. 08: Initial meeting
May. 15: Some "basic" algebraic geometry (Yassine)
May. 22: Introduction to the theory of schemes I (Linda)
May. 22: Introduction to the theory of schemes II (?)
May. 29: Algebric group schemes: definitions and basic properties (?)
Jun. 05: Standard examples and constructions (?)
Jun. 12:
Jun. 19:
Jun. 26:
Jul. 03:
Jul. 10:
Jul. 17:
Jul. 24: