Program for Explicit Arithmetic Geometry Workshop

All lectures take place in Amphitheatre Hermite; tea/coffee in the
second floor lounge.  The reception will be in the ground floor
cafeteria area.

Monday 6 December

10.00-10.50 Samir SIKSEK (Sultan Qaboos, Oman)
	    A Multiply Exponential Diophantine Spree

10.50-11.10 Pause cafe

11.10-12.00 Reinier BRÖKER (Leiden)
	    Constructing elliptic curves in polynomial time

14.00-14.50 David BURNS (Kings College London)
	    Computational results and problems related to the
	    equivariant Tamagawa number conjecture

15.00-15.40 Christophe DELAUNAY (EPFL Lausanne)
	    Moments of orders of Tate-Shafarevich groups 

15.40-16.15 Pause the

16.15-18.15 Don ZAGIER (College de France)
	    Fonctions Theta VII

Tuesday 7 December

10.00-10.50 Ronald VAN LUIJK (UC Berkeley)
       K3 surfaces with Picard number 1 and infinitely many rational points

10.50-11.10 Pause cafe

11.10-12.00 Mark LINGHAM (Nottingham)
	    Modular forms over imaginary quadratic number fields

14.00-14.50 Cathy O'NEIL (MIT)
            The Geometry of Explicit Descent of Elliptic Curves

15.00-15.50 Johnny EDWARDS (Utrecht)
	    Solutions to X^2+Y^3=dZ^r in Finite Fields

15.50-16.30 Pause the

16.30-17.20 Martine GIRARD (Sydney)
	    Maximality of the Weierstrass subgroup

Wednesday 8 December

10.00-10.50 Nils BRUIN (Simon Fraser)
	    Visibility of Sha[2] of Jacobians of curves of genus 2

10.50-11.10 Pause cafe

11.10-12.00 Tom FISHER (Cambridge)
	    Computing models for visible elements of the Tate-Shafarevich group

Wednesday afternoon free

Thursday 9 December

10.00-10.50 Mark VAN HOEIJ (Florida State)
	    Conics over Function Fields

10.50-11.10 Pause cafe

11.10-12.00 David KOHEL (Sydney)
	    Constructive CM by p-adic lifting

14.00-14.50 Robert CARLS (Leiden)
	    Computing the AGM using Mumford's theta functions

15.00-15.50 Marc HINDRY (Jussieu)
	    Golomb's Lambda calculus, Schinzel and the Bateman-Horn conjecture

15.50-16.30 Pause the

16.30-17.20 STAMMINGER (IU Bremen)
	    Towards 8-descent on elliptic curves

17.30-18.20 Martin BRIGHT (Liverpool)
	    Efficient calculation of the Brauer-Manin obstruction

18.30-oo.oo Reception

Friday 10 December

10.00-10.50 Michael STOLL (IU Bremen)
	    Covers and rational points

10.50-11.10 Pause cafe

11.10-12.00 Steve DONELLY (IU Bremen) 
	    Finding elliptic curves with Shafarevich-Tate groups
	    having elements of certain orders

Friday afternoon:

Séminaire Variétés rationnelles (Orsay - ENS)
(J.-L. Colliot-Thélène, D. Harari, P. Gille)

14.30-15.30 Bjorn POONEN (UC Berkeley)
	    The Brauer-Manin obstruction for curves

15.30-16.00 Pause the

16.00-17.00 Alexei SKOROBOGATOV (Imperial College London)
	    2-descente sur les courbes elliptiques et points
            rationnels sur certaines surfaces de Kummer (I)

17.30-18.30 Peter SWINNERTON-DYER (Cambridge)
	    2-descent on elliptic curves and rational points on
            certain Kummer surfaces (II)