Number Theory Seminar: Andrea Siviero (Intitut de Mathematiques de Bordeaux) 'Realizable Classes for Tame Galois Extensions'

Event Date: 

Friday, February 15, 2013 -
2:00pm to 3:00pm

Event Location: 

  • 6617 South Hall

Event Contact: 

Jordan Schettler

Email: jcs@math.ucsb.edu

Abstract: Let K be a number field and let G be a finite group. In the locally free class group Cl(O_K[G]) we can consider the subset of classes realized as Galois modules by the ring of integers of tamely ramified
G-extensions. The study of the structure of this subset goes under the name of realizable classes problem. In this talk, after a general presentation of the problem, I will give an overview of the known results and I shall point out the main recent open questions on this topic. No prior knowledge about locally free class groups and realizable classes will be assumed.