Diophantine Geometry and Differential Equations

A meeting in honour of Prof Sir Peter Swinnerton-Dyer's 70th birthday

Monday 22nd -- Tuesday 23rd September 1997

To register, and/or to apply for funding, please contact
        t.hibbitt@newton.cam.ac.uk as soon as possible.

Approximate program, with provisional titles

 Monday 22nd
 12:30  Lunch at the Newton Institute
 2.00   Colin Sparrow (Cambridge): 
               Ordinary differential equations; explosions and bifurcations
 3.30   Noel Lloyd (Aberystwyth): 
               Hilbert's 16th problem, 97 years on 
 5:00   Miles Reid (Warwick): 
               The cubic surface through the ages
 6.00   Reception at the Newton Institute

 7:30   Dinner in Trinity
 
 Tuesday 23rd
 10:00  Coffee at the Newton Institute
 10:30  Richard Taylor (Harvard): 
               Weight one forms, congruences and Galois representations
 11:45  Jean-Louis Colliot-Thelene (Orsay): 
               Local-to-global principle for varieties over a number field 
 1:00   Lunch in the Newton Institute
 2:00   Jan Nekovar (Cambridge): 
               Euler systems and the conjecture of Birch and Swinnerton-Dyer
 3:15   Don Zagier (Max Planck Inst): 
               Diophantine equations and differential equations
 4:30   Formal close
 6:00   Informal cider (e.g., The Eagle in Bene't Street)
 
The meeting will take place at the Newton Institute in Cambridge, starting at
lunch time on Monday 22nd September.

The lecture at 5.00 p.m. Monday will be directed at a general mathematical
audience, and will be followed by a reception in the Newton Institute.
There will be a celebratory dinner (spouses and friends welcome) on Monday 
evening, in Trinity College, to which family and friends of Sir Peter's have 
also been invited.

The mathematical part of the meeting is supported by the London Mathematical
Society, Trinity College, and the Newton Institute. There are limited funds 
available to support travel and accommodation for UK research students and 
young mathematicians wishing to attend the meeting. Where appropriate,
Warwick AGE money may be available to support non-British EU participants.
There will be a charge of <= UKL 25 per head for dinner on Monday evening.
Lunch(es) will be available in the Newton Institute. Accommodation
(conference rooms in Trinity College, 29 pounds per night) may be reserved
via the Institute for the Monday night.

Further information is available on the Newton Institute's web page at
             http://www.newton.cam.ac.uk/psd.html
and will be updated regularly.

(co-organisers J-L Colliot Th\'el\`ene, N Lloyd, M Reid, 
N Shepherd-Barron, C Sparrow, P Wilson)