Week 1: An introduction to schemes, and a discussion of arrangements for the remainder of the semester
Week 2.1: Johan Commelin; Projective and Noetherian schemes
Week 2.2: Milan Lopuhaä; Reduced and integral schemes
Week 3.1: Abtien Javanpeykar; Dimension
Week 3.2: Wouter Zomervrucht; base change
Week 4.1: Herman Hohrbach; Liu, 3.2.1 and 3.2.2 (algebraic varieties)
Week 4.2: Erik Massop; Liu, 3.2.3 (points taking values in field extensions)
Week 5.1: Erik Visse: separated and proper morphisms
Week 5.2: Tristan Tilly: a proof that projective implies proper
Week 6.1(11th March): Lenny Taelman: the functor of points
Week 6.2: Michele Serra: birational morphisms, normal varieties, ...
Week 7.1 (18th March): Niels uit de Bos: Zariski's Main Theorem
Week 7.2: Johan Commelin: Good reduction
Two week break for Easter
Week 8.1 (8th April): Chiara Damiolini: Braid groups and mapping class groups
Week 8.2: Jinbi Jin: Division polynomials for elliptic curves
Week 9.1 (15th April): David Holmes: Smooth morphisms
Week 9.2: Wouter Zomervrucht: sites
Week 10.1 (22nd April) Michele Serra: The Theorem of Deligne-Mumford
Week 10.2: Erik Visse: Finite flat group schemes
No seminar 29th April
Week 11.1 (6th May): Milan Louphaa: Shimura varieties
Week 11.2: David Holmes: Moduli of elliptic curves
Week 12.1 (13th May): Tristan Tilly: fundamental groups of schemes
Week 12.2: Abtien Javanpeykar : Cech cohomology
No seminar 20th May
Week 13.1 (27th May) [Probably no seminar]: TBA : TBA
Week 13.2: TBA : TBA
Students attending this course may also be interested in attending the Algebra Seminar, which is held periodically on Mondays and Thursdays. Any students who are interested should email Ronald van Luijk to be added to his mailing list.
Niels uit de Bos
All students writing their master theses in the Spring of 2013 in the area of algebra, geometry and number theory, or planning to start doing so in the near future, are advised to participate.
The rules for obtaining 6 EC for this seminar are as follows:
To get an idea of possible topics, see the program of 2011. This year's program (only Spring 2013) will be built up as time goes by.