On the dynamical Brauer-Manin problem

Event details
Date | 19.12.2012 |
Hour | 14:00 › 15:15 |
Speaker | Ekaterina Amerik (Université Paris-Sud) |
Location | |
Category | Conferences - Seminars |
Let X be a projective variety over a number field K, and f an endomorphism of X. Inspired by Scharaschkin's thesis, Hsia, Silverman and Voloch have proposed to study the "dynamical Brauer-Manin problem" for a subvariety V of X: let P be an arbitrary point on X, is the intersection of its f-orbit with V equal to the intersection of its closure in the adelic points of X with the adelic points of V? I shall make some remarks on this in the case when f is unramified. This is based on a small part in a joint work with a large group of people (P. Kurlberg, Kh. Nguyen, B. Viray et al.), with which I am marginally concerned. Since I am not a specialist, this is mainly to advertize the problem, hoping for some helpful comments.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii