KAU Algebraic Geometry Seminar, 2022/23

Basics of scheme theory

Іван Марчук 'Схід сонця над Дніпром' (2004)
Іван Марчук 'Схід сонця над Дніпром' (2004)

Time: Thursdays, 5:15-6:45pm Kyiv time

Venue: Zoom (email me for Zoom link)

Organizer: Piotr Achinger (IMPAN)


The seminar is aimed at undergraduate and graduate students interested in algebraic and arithmetic geometry.

The topic for the Fall semester is basics of scheme theory. We will use Vakil's lecture notes and Hartshorne's book as basic references.

The first meeting will be on Oct 6. We will give an outline of what we plan to do this semester and assign speakers to the first talks.

Please contact Piotr if you would like to be added to the seminar's mailing list.


Oct 6 Piotr Achinger Organizational meeting / Introduction and Overview
Oct 13 Bohdan Mazhar Limits and Colimits. Sheaves
Oct 20 No seminar. Read section II.1 Sheaves (pages 60–65) in Hartshorne Algebraic Geometry. Solve exercises 1.1–1.18 and 1.22 (pages 65–69). We will discuss the solutions during the next meeting.
Oct 27 Sheaves (continued). Next: Sheaves on a base (Vakil 2.5). Definition of affine schemes (Vakil 3 and 4.1).