On p-adic density of rational points on Kummer surfaces

Event details
Date | 26.07.2012 |
Hour | 11:15 › 12:30 |
Speaker | Rene Pannekoek |
Location | |
Category | Conferences - Seminars |
Let p be a prime, E an elliptic curve over the rationals and X the Kummer surface of E times E. I will give a sufficient condition for X(Q) to be dense in X(Q_p). I will give examples of E such that X(Q) is dense in X(Q_p) for p in a set of primes with density 1/2. I will give (not too strong) conditions on E that imply X(Q) to be dense in X(Q_p) for infinitely many p. Lastly, I will briefly discuss density of the rational points in product topologies of p-adic topologies.
Links
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii