Mathematical Institute of the University of Bonn

Algebraic Geometry II - Sommersemester 2017

Prof. Dr. Peter Scholze

Contact:
Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
Tel.: 0228-73-62216
E-mail: ja (ergänze @math.uni-bonn.de)

Time and Place

Monday, 12-14h, Kleiner Hörsaal
Thursday, 10-12h, Kleiner Hörsaal
First Lecture: Thursday 20.04.2017.

Content of the course

This course will cover cohomology of quasi-coherent sheaves. For participants of this lecture we recommend the seminar on Jacobians of curves which will take place Tuesdays, 16-18h, SR 0.006.
Thanks to Jack Davies there are typed notes of the courses "Algebraic Geometry I" and "Algebraic Geometry II" available.

Literature

R. Hartshorne: Algebraic Geometry GTM 52. Springer.
D. Mumford: The Red book of varieties and schemes. Springer LN 1358.
R. Vakil: Foundations of algebraic geometry. Online lectures
J. de Jong: The Stacks project
D. Eisenbud and J. Harris, The Geometry of Schemes, GTM 197, Springer.
U. Goertz, T. Wedhorn: Algebraic Geometry I. Vieweg.
Q. Liu: Algebraic Geometry and Arithmetic Curves. Oxford GTM
A. Grothendieck, J. Dieudonné: Éléments de géométrie algébrique.

Exams

The oral exams will take place on Friday, 28.07.2017, Monday, 31.07.2017 or Tuesday, 01.08.2017. Please contact the lecturer or the assistant to arrange a date.
In case one of the above dates cannot be attended (or if the examination fails) there will be another date on Friday, 29.09.2017.

Exercise sheets

Exercise sheet 1 (20.04.2017, 8 bonus points)
Exercise sheet 2 (24.04.2017, to be handed in on 02.05.2017 till 12h in the box in front of room 4.027)
Exercise sheet 3 (28.04.2017)
Exercise sheet 4 (08.05.2017)
Exercise sheet 5 (15.05.2017)
Exercise sheet 6 (22.05.2017)
Exercise sheet 7 (29.05.2017)
Exercise sheet 8 (12.06.2017)
Exercise sheet 9 (19.06.2017)
Exercise sheet 10 (26.06.2017)
Exercise sheet 11 (03.06.2017)
Exercise sheet 12 (10.06.2017)

Exercise sessions

There are weekly exercise sessions accompanying the lecture. It is necessary to attend the exercise sessions and hand in solutions to the exercises in order to participate in the final exam. Please hand in your solutions mondays during the lecture. Registration for the exercise sessions takes place during the first lecture. The exercise sessions in the first week take place. In each of them some material from the last semester will be recollected. The regular exercise sessions start in week two.