SUMMER SCHOOL


ELLIPTIC CURVES, FINITE FIELDS AND CRYPTOGRAPHY


7.-12. August 2000


Sophus Lie Conference Center, Nordfjordeid, Norway


Lecturers:

Gerhard Frey (Essen), Johan P. Hansen (Aarhus), Rene Schoof (Rome)



Organizing committee:

G. Ellingsrud and Kristian Ranestad (Oslo), Loren Olson (Tromsø ), S. O. Smaløe (Trondheim), S. A. Strømme (Bergen)


Sponsors:
NTNU, University of Bergen, University of Oslo, University of Tromsø .


The school consists of lectures and exercise sessions. Here are some

SELECTED TOPICS:

Cubic curves and the group operation, normal forms, discriminant, isomorphisms, j-invariant, moduli, integer and rational points on elliptic curves, elliptic curves over finite fields, zeta-functions, Hasse-Weil theorem, introduction to the Taniyama-Weil conjecture, Wiles theorem (Fermats last theorem), elliptic curves over finite fields in primality testing and protocols for "Public key Cryptography."

Location:
The school will be held at Sophus Lie Conference Center in Nordfjordeid. Nordfjordeid, the birthplace of Sophus Lie, is a small town in the fjords of the west coast of Norway, halfway between Bergen and Trondheim. The Conference Center is located at Fjordane Folkehøgskule, situated just above Nordfjordeid, where the valley meets the fjord. Local guides will advice the participants on hikes in the nearby mountains.

Arrival: Monday 7. August

Departure: Friday 11. or saturday morning 12.

How to arrive: For detailed travel information consult the home page of the conference center at http://www.math.uio.no/nordfjordeid/nordfjord.html

The following are the main possibilities:

a) By Plane: The natural place to fly to is Sandane via Oslo or Bergen. This airport is only 5 km from Nordfjordeid, and there is bus/taxi service from there.
b) By Bus: There is relatively good bus service between Oslo and Nordfjordeid, and Bergen and Nordfjordeid, but it takes 9 and 6 hours respectively.
c) By Boat and Bus: There is also a good express boat service between Bergen and Måløy, with bus connection between Måløy and Nordfjordeid, it takes about 5 hours altogether.

Weather: The weather is fairly unstable at Nordfjordeid. From cold, rain and wind to sunny and warm. The temperature is seldom below 10 and go up to 25 if we are lucky. It is advisable to bring a sweater and a jacket.

Registration fee: We regret that we have to request a registration fee, 2100 NOK. The accomodation for the participants in a double room and full board during the conference will be covered by the registration fee. For single room there is an additonal charge of 500 NOK. The registration fee is payable at arrival (no credit cards).

Registration deadline is 12.6.2000
For registration and further information please contact K. Ranestad, Dep. of Math., Boks 1053 Blindern, N-0316 Oslo, Norway,
e-mail:ranestad@math.uio.no



Redaksjon: ranestad@math.uio.no
8.11.1999