Mathematical Institute of the University of Bonn

Algebraic Geometry I - Wintersemester 2016/17

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

Tuesday, 10-12h, Großer Hörsaal
Thursday, 10-12h, Kleiner Hörsaal
First Lecture: Tuesday 18.10.2016.

Content of the course

This course will cover basic scheme theory.
Thanks to Jack Davies there are typed notes of the course 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.

Exercise sheets

• Exercise sheet 1 (20.10.2016, corrected version)
• Exercise sheet 2 (25.10.2016, to be handed in on 3. November 2016)
• Exercise sheet 3 (1.11.2016)
• Exercise sheet 4 (8.11.2016)
• Exercise sheet 5 (15.11.2016)
• Exercise sheet 6 (22.11.2016)
• Exercise sheet 7 (29.11.2016)
• Exercise sheet 8 (6.12.2016)
• Exercise sheet 9 (13.12.2016)
• Exercise sheet 10 (20.12.2016)
• Exercise sheet 11 (10.01.2017)
• Exercise sheet 12 (17.01.2017)
• Exercise sheet 13 (24.01.2017)
• Exercise sheet 14 (31.01.2017)

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 tuesdays during the lecture. Registration for the exercise sessions takes place during the first lecture. The regular exercise sessions start in week two. However, in the first two exercise sessions (on the 21.10.2016 and 24.10.2016) there will be short repetitoriums recollecting some facts of commutative algebra.

Group	Time and Place	Tutor
Group 1	Monday 16-18h, Room 1.008	Axel Kölschbach
Group 2	Friday 12-14h, Room 0.007	Isabell Große-Brauckmann

The room numbers refer to the building Mathematik Zentrum, Endenicher Allee 60.

Exams

The first written exam will take place on Thursday, 16.02.2017 from 13h to 15h in the Großer Hörsaal, Wegelerstraße.
The second written exam will take place on Wednesday, 22.03.2017 from 9h to 11h in the Kleiner Hösaal, Wegelerstraße.

Last modified: 31.1.2017, Johannes Anschütz