## 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 |

## 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*

## News

EMS Prize 2024 for Jessica Fintzen

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Stefan Schwede is invited speaker at the ECM 2024 in Sevilla

Jessica Fintzen wins Cole Prize

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Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts

Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019

Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Grants for Mathematics students from Ukraine

Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Peter Scholze elected as Foreign Member of the Royal Society