Abstract: Galois groups of number fields naturally act on many interesting number theoretic objects, e.g. on integral units in number fields, or on Mordell-Weil groups of elliptic curves. In these talks, we will investigate the structure of these objects as Galois modules. The first talk will introduce the main questions, give concrete examples and state the main results. After that, we will present the techniques for obtaining those results, which are mostly representation theoretic, and will offer some open problems. Part of the work to be presented is joint with Bart de Smit.

For the number theory seminars we usually meet at Room 1423 or 1424 at 5pm on the 2nd and 4th Thursdays in each month. Please check the tentative schedule of upcoming seminars.