**Time and place**: Monday, 11:15-12:45.

**The lecture of January 17 will take place from 17:00 to 18:30.**- Please subscribe to the mailing list of the course here.

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).
- 13 July 2021, 17-19. Vakil, Section 4.4 (Daniele).
- 22 July 2021, 17-19. Vakil, Sections 5.1-5.2 (Daniele).
- 5 August 2021, 17-19. Vakil, Sections 5.3-5.4 (Daniele).
- 12 August 2021, 17-19. Vakil, Section 5.5 (Daniele).
- 17 September 2021, 15-16. Vakil, Section 4.5 (Daniele).
- 7 October 2021, 17-19. Vakil, Sections 6.1-6.2-6.3 (Fulvio).
- 10 October 2021, 11-13. Vakil, Section 6.3 (all together without Daniele).
- 17 October 2021, 11-13. Vakil, Section 6.3 (Fulvio).
- 25 October 2021, 11-13. Vakil, Section 6.3 (Fulvio), Section 6.4 (Chiara).
- 5 November 2021, 15:30-17. Vakil, Sections 6.5-6.7 (Chiara).
- 8 November 2021, 11-13. Vakil, Sections 7.1-7.4 (Pedro).
- 15 November 2021, 11-13. Vakil, Sections 7.1-7.4 (Pedro).
- 22 November 2021, 11-13. Vakil, Sections 8.1-8.4 (Clemens).
- 29 November 2021, 11-13. Vakil, Sections 8.1-8.4 (Clemens).
- 12 December 2021, 15-17. Vakil, Sections 8.1-8.4 (Clemens).
- 17 December 2021, 17-19. Vakil, Sections 9.1-9.3 (Yassine).