July 10-16, 2005

Rational Points on Curves -
Explicit Methods

Workshop at International University Bremen


Talks, With Links to Notes



Monday, July 11 09:30-10:30 Michael Stoll Opening and Introduction
  11:15-12:15 William Stein Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves
  14:30-15:00   Organizational Meeting (Michael Stoll)
  15:00-15:45 Michael Stoll Searching for Rational Points on Varieties
  16:00-17:00 Denis Simon Rational Points on Conics and Generalisations
  17:30-18:30 Michael Stoll Descent Obstructions on Curves
Tuesday, July 12 09:30-10:30 Tom Fisher Explicit Descent on Elliptic Curves, I
  11:15-12:15 Cathy O'Neil Explicit Descent on Elliptic Curves, II
  14:30-15:00 Cathy O'Neil Sampling Spaces
  15:15-16:00 Ed Schaefer The Cassels-Tate Pairing
  16:15-17:15 Mark Watkins Two and Four Descents
  17:30-18:00 Tom Fisher Minimization
Wednesday, July 13 09:30-10:30 Ed Schaefer Computing Selmer Groups of Jacobians
  11:15-12:15 Nils Bruin 2-coverings of Hyperelliptic Curves
  14:30-15:15 Victor Rotger Abelian Surfaces of GL2-type and Points on Shimura Curves
  15:30-16:15 Alexei Skorobogatov Shimura Curves and the Hasse Principle
  16:45-17:15 Kamal Khuri-Makdisi Implementing Addition on J(k)
  17:30-18:00 Nils Bruin Small Genus 2 Curves
Thursday, July 14 09:45-10:45 J.-L. Colliot-Thélène The Brauer-Manin Obstruction and the Fibration Method
  11:30-12:30 Alexei Skorobogatov Torsors, Descent and the Brauer Group
  14:30-15:30 Olivier Wittenberg Hasse Principle for Del Pezzo Surfaces of Degree 4
  15:45-16:15 Adam Logan Computing Azumaya Algebras that Represent the Brauer Group of Del Pezzo Surfaces of Degree 4
  16:30-17:00 Martin Bright Efficient Computation of the Brauer-Manin Obstruction
  17:15-18:15 Peter Swinnerton-Dyer A New Result on the Manin Conjecture on Points of Bounded Height
Friday, July 15 09:30-10:30 Fedor Bogomolov Special Correspondences for Curves Over Small Fields (Q-bar, Fp-bar)
  11:15-12:15 Samir Siksek Functions, Reciprocity and the Obstruction to Divisors on Curves
  14:30-14:50 Tom Fisher Solution of Ed's Problem
(Cassels' Pairing is the Cassels-Tate Pairing)
  15:15-15:45 Victor Flynn Computing the Brauer-Manin Obstruction on Curves
  16:15-17:30 Michael Stoll Explicit Descent on Genus 2 Jacobians,
including Minimization and Reduction
  18:00-19:00 Michael Stoll More on "Conjecture 3"
Notes for a similar talk I gave in Oberwolfach on July 19, 2005

Organizer

Michael Stoll (IU Bremen)

Supported by

International University Bremen, Deutsche Forschungsgemeinschaft

Last modified: 2005-10-30
Michael Stoll
(m.stoll@iu-bremen.de)