North of England Algebraic Number Theory Group

Eleventh meeting, Sheffield (6/3/2003)

The eleventh meeting took place on Saturday March 6th in Sheffield. Here is the programme:

• 10.30-11.00 coffee/tea
• 11.00-12.00 Nigel Byott (Exeter)

  Realisable Galois module classes

• 12.00-13.30 LUNCH BREAK
• 13.30-14.30 Adam Logan (Liverpool)

  Heegner points on elliptic curves over real quadratic fields

  Henri Darmon formulated a concrete version of a conjecture of Oda according to which it should be possible to construct rational points on elliptic curves over real quadratic fields defined over quadratic extensions of the field by integrating the Hilbert modular form associated to the curve. We present the conjecture together with some numerical evidence for it. This is joint work with Darmon.

• 14.30-14.45 break
• 14.45-15.45 Nikos Diamantis (Nottingham)

  Higher order modular forms and their cohomology

Frazer Jarvis, March 2nd, 2004.