This seminar is aimed at second year master students, with a good background in number theory and geometry. It will help them to start work on a master thesis.
About half of the course will take place in the form of a seminar, where those who wish to obtain credit points will give lectures.
Possible topics this year include: modular forms, complex multiplication (elliptic curves, abelian varieties), Shimura varieties.
Prerequisites
the course Topics in Geometry 1’ or a similar course treating Chapter one of Hartshorne’s
Algebraic Geometry’ is a must. The same holds for a basic course in algebraic number theory.
Aantal college-uren
2 hours lecture, 13 weeks
Tentaminering
No final exam, but active participation is required
Verplichte literatuur
Will depend on topics treated, much can be found on internet
Links