Mathematisches Institut der Universität Bonn

V4A1 Algebraic Geometry I - winter term 2023/24

Contacts:
Dr. Ian Gleason
Endenicher Allee 60 · Zimmer 4.014
E-mail: ianandre(add @math.uni-bonn.de)

Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
E-mail: ja(add @math.uni-bonn.de)

Time and place

Monday, 12-14h, Kleiner Hörsaal
Thursday, 10-12h, Großer Hörsaal
First lecture: Monday, 9.10.2023
End of lecture period: 2.2.2024
No lecture on 11.1.2024!

Content

Algebraic geometry is the study of zero sets of polynomial equations and their geometry. In modern mathematics this is formulated via scheme theory. Hence, this course will cover sheaves, schemes and first properties of these. Prerequisites are commutative algebra (rings, modules, localization) and basic topology. A bit of knowledge of category theory (adjoint functors, natural transformations) is helpful.

Literature

• Scholze/Davies: Lectures notes Algebraic Geometry I
• Görtz, Wedhorn: Algebraic Geometry I.
• Hartshorne, Robin: Algebraic Geometry.
• Mumford: The red book of varieties and schemes.

Exercise sheets

The weekly exercise sheets will be uploaded here.

• Exercise sheet 1 (11.10.2023)
• Exercise sheet 2 (18.10.2023)
• Exercise sheet 3 (26.10.2023)
• Exercise sheet 4 (2.11.2023)
• Exercise sheet 5 (9.11.2023)
• Exercise sheet 6 (16.11.2023)
• Exercise sheet 7 (23.11.2023)
• Exercise sheet 8 (30.11.2023)
• Exercise sheet 9 (7.12.2023)
• Exercise sheet 10 (14.12.2023)
• Exercise sheet 11 (11.01.2024)
• Exercise sheet 12 (18.01.2024)
• Exercise sheet 13 (26.01.2024)

Exercise sessions

In addition to the lecture there are weekly exercise sessions. Registration to the exercise sessions is via eCampus during the first week of the lectures. The exercise sessions themselves start in the second week of lectures. The registration via eCampus does NOT replace the registration to the course via Basis.

Group	Time and place	Tutor
Group 1	Tuesday, 8-10h, SR0.011	Chenji Fu
Group 2	Tuesday, 12-14h, SR0.011	Adam Dauser
Group 3	Wednesday, 8-10h, SR0.011	Robin Louis
Group 4	Friday, 10-12h, SR0.011	Gabriele Bianchi
Group 5	Friday, 16-18h, SR0.011	Thomas Manopulo

The exercise sessions will take place in the buildings of the Mathematisches Zentrum, Endenicher Allee 60. Time and place may change before the semester starts.

Exam

First exam: 20.2.2024, 9-11h, Großer Hörsaal and Kleiner Hörsaal, Revision: 21.2.2024, 11-12h, N0.007
Second exam: 21.3.2024, 9-11h, Kleiner Hörsaal, Revision: 22.3.2024, 11-12h, N0.007
After the end of the lectures there will be a written exam. All necessary information will be provided via this webpage during the semester. For participation in the exam a registration via Basis is necessary as well a sucessful participation in the weekly exercise sessions (more than 50% of all points). General informations to exams can be found here.

Last modified: January 2024, Johannes Anschütz