**Time and place**: Thursday, 17:15-18:45.

**There will be no meeting on June 24.****Those interested in participating should send me an email, preferably by March 21.**- The first meeting will be on April 15.

The idea of this reading group is to develop the basic notions of
modern algebraic geometry, through the
language of schemes.

** References **: We will follow closely the wonderful lecture
notes by Vakil:

- R. Vakil,
*Foundations of Algebraic Geometry*.

- R. Hartshorne,
*Algebraic Geometry*. Springer. - Q. Liu,
*Algebraic Geometry and Arithmetic Curves*. Oxford University Press. - D. Eisenbud and J. Harris,
*The geometry of schemes*. Springer. - U. Görtz and T. Wedhorn,
*Algebraic Geometry I: Schemes*. Springer.

- A. Grothendieck and J. Dieudonné,
*Éléments de géométrie algébrique*. Publications Mathématiques de l'IHÉS. - The Stacks project authors,
*The Stacks project*.

- 15 April 2021, 17-19. Presentation of the reading group (Daniele). Notes.
- 22 April 2021, 17-18. Vakil, Sections 1.1-1.2-1.3-1.4. After Section 1.3 do also the exercises here. (Chiara).
- 29 April 2021, 17-19. Vakil, Sections 1.5-1.6-2.1-2.2 (Claudia).
- 6 May 2021, 17-19. Vakil, Sections 2.3-2.4-2.5-2.6 (Oliver).
- 20 May 2021, 17-19. Vakil, Sections 3.1-3.2-3.3 (Yelena).
- 27 May 2021, 17-19. Vakil, Sections 3.1-3.2-3.3 (Yelena).
- 3 June 2021, 17-19. Vakil, Sections 3.4-3.5-3.6-3.7 (Mara).
- 10 June 2021, 17-19. Vakil, Sections 4.1-4.2-4.3 (Noah).