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Topics in Arithmetic Geometry 1

Vak
2009-2010

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’sAlgebraic 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

Course homepage