**Algebraic Geometry I**

Lecturer: Georg Oberdieck

Assistant: Matthew Dawes

Tutors: Thorsten Beckmann, Isabell Grosse-Brauckmann, Lisa Li , Hsueh-Yung Lin, René Mboro

**Classes**

Montag: 16:00 c.t. - 18:00 Uhr, Kleiner Hörsaal Wegelerstrasse 10;

Donnerstag: 16:00 c.t. - 18:00 Uhr, Kleiner Hörsaal Wegelerstrasse 10

First day of class: **October 11. **

**Content**

The course introduces the modern language of algebraic geometry: sheaves, schemes, cohomology.

**Pre-requisites**

A basic knowledge of commutative algebra (prime ideals etc).

**Syllabus**

**References**

D. Mumford: The Red book of varieties and schemes. Springer LN 1358. R.

U. Goertz, T. Wedhorn: Algebraic Geometry I. Vieweg.

R. Hartshorne: Algebraic Geometry GTM 52. Springer.

D. Eisenbud and J. Harris, The Geometry of Schemes, GTM 197, Springer.

Vakil: Foundations of algebraic geometry. Online lectures.

Shafarevich, Basic Algebraic Geometry I + II.

**Tutorials**

Tue 10-12, Neubau N 0.007

Tue 10-12 Uhr AVZ1 SR7 (Raum 0.001)

Wed 2-4, Neubai N 0.008

**Problems**

There will be one problem set every week. Solutions to the exercises are to be handed in every Monday before the lecture.

*Solutions are to be submitted individually. i.e. not in groups.*

The solutions will be graded by points. One has to have half of the points to be admitted to the final exam.

There will be two midterm exams (45 minutes in class exams) that replace the exercise sheets the given week and count toward the total point score.

** Prüfung Algebraic Geometry I**

Final Exam I: 07.02.19, 9-11, Großer Hörsaal,

Final Exam 2: 18.03.19, 9-11, Großer Hörsaal.

*This is a written exam*

**Mailing list**

You can subscribe to an email mailing list in order to receive updates and information on classes, tutorials, and problem sheets. Subscription is non-compulsory, but strongly encouraged. In order to subscribe, please follow the instructions here .

** Office hours**

Friday 2-3pm in 1.028.

**List of problem sets and midterm exams**

Please report errors or misprints to mdawes@math.uni-bonn.de.

Oct 15: -

Oct 22: PS1 due

Oct 29: PS2 due

Nov 5: PS3 due

Nov 12: Midterm 1

Solutions to Midterm I practice problems

Nov 19: PS4 due

Nov 26: PS5 due

Dec 3: PS6 due

Dec 10: PS7 due

Dec 17: Midterm 2

Jan 7: -

Jan 14: PS8 due

Jan 21: PS9

Jan 28: PS10.

There will be 50 points per problem set and 100 points per mid-term exam. One needs a total of 350 points to be admitted to the final exam.

## News

Corona: Measures at the Center for Mathematics

24.6.22: Colloquium on occasion of the retirement of Herrn Prof. Dr. Carl-Friedrich Bödigheimer

Prof. Peter Scholze elected as Foreign Member of the Royal Society

Prof. Dr. Jessica Fintzen new at the Mathematical Institute

Otto Toeplitz memorial fund established

Hausdorff Memorial Prize 2020/2021 awarded

Bachelorpreis 2020/21 der BMG verliehen

Prof. Christoph Thiele is holding the Clay Lecture 2022

Hausdorff Edition „Felix Hausdorff - Gesammelte Werke“

Prof. Catharina Stroppel invited as *plenary speaker* to the ICM 2022 in St. Petersburg

Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz

Prof. Georg Oberdieck erhält Heinz Maier-Leibnitz-Preise 2020

Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant