On p-adic density of rational points on Kummer surfaces

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Event details

Date 26.07.2012
Hour 11:1512:30
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.

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Practical information

  • General public
  • Free

Organizer

  • CIB

Contact

  • Isabelle Derivaz-Rabii

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