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01.01.1970 (Thursday)

NT London Number Theory Seminar: Quadratic Twists as Random Variables

regular seminar Ross Paterson (University of Bristol)

at:
16:00 - 17:00
KCL, Strand
room: S3.30
abstract:

If E/Q is an elliptic curve, and d is a squarefree integer, then the 2-torsion modules of E and its quadratic twist E_d are isomorphic. In particular their 2-Selmer groups can be made to lie in the same space. Poonen-Rains provide a heuristic model for the behaviour of these 2-Selmer groups individually, as E varies, but how independent are they? We'll present results in this direction.

Keywords: