Local-global principles for multinorm equations
Event details
| Date | 20.12.2012 |
| Hour | 14:00 › 15:15 |
| Speaker | Cyril Demarche (IM, Jussieu) |
| Location | |
| Category | Conferences - Seminars |
In this work in progress (joint with Dasheng Wei), we are interested in generalizations of the classical Hasse norm principle for cyclic Galois extensions of number fields. Given a global field k and L_1, ..., L_n finite separable field extensions of k, we study Hasse principle and weak approximation for the so- called multinorm equations associated to (L_1, ..., L_n). In particular, if an element in k^* is locally everywhere a product of norms for the extensions L_i/k, is this element a product of global norms for those extensions ? This work follows earlier work by Hürlimann, Colliot-Thélène and Sansuc, Prasad and Rapinchuk and a recent work by Pollio and Rapinchuk. In particular, we prove an analogue of a conjecture by Pollio and Rapinchuk, and we provide a counterexample to their original conjecture.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii