July 21-28, 2007

Rational Points on Curves and Higher-Dimensional Varieties:
Theory and Explicit Methods

Workshop at Jacobs University Bremen*


Some of the talk titles are linked to notes written by Bjorn Poonen (in some cases edited or written by the speaker) or to the relevant paper.

Saturday, July 21     Arrival
  18:00-19:00   Dinner
Sunday, July 22 08:15-09:00   Breakfast
  09:00-09:15 Michael Stoll Opening and Welcome
  09:30-10:30 Tom Fisher 8-Descent on Elliptic Curves
  11:15-12:15 Samir Siksek Integral Points on Hyperelliptic Curves
  12:15-13:00   Lunch
  14:45-15:30   Coffee, Tea, and Cake
  15:30-16:00 Michael Stoll Organizational Meeting
    Denis Simon Afternoon Session (Elliptic Curves)
  16:00-16:45 Mark Watkins Quadratic Twists of Rank 3
  17:00-17:30 Tom Fisher How To Trivialize a Central Simple Algebra
  17:40-18:00 Michael Stoll Computation of the Cassels-Tate Paring on 2-Selmer Groups of Elliptic Curves (after S. Donnelly)
  18:00-19:00   Dinner
Monday, July 23 08:00-09:00   Breakfast
  09:30-10:30 Bjorn Poonen Explicit Descent on Genus 3 Jacobians, I
  10:30-11:15   Coffee
  11:15-12:15 Nils Bruin Explicit Descent on Genus 3 Jacobians, II
  12:15-13:00   Lunch
  14:45-15:30   Coffee, Tea, and Cake
    Victor Flynn Afternoon Session (Higher Genus Curves)
  15:30-16:10 Stephen Meagher Twists of Jacobians of Curves of Genus 3
  16:10-16:30 Belgacem Draouil Curves Over a 2-Local Field
  16:45-17:15 Anna Arnth-Jensen Sha for Richelot Isogenies
  17:15-17:45 Kamal Khuri-Makdisi Fast Jacobian Arithmetic on C34 Curves
  17:45-18:00   Informal Problems
  18:00-19:00   Dinner
Tuesday, July 24 08:00-09:00   Breakfast
  09:30-10:30 Damiano Testa Arithmetic of del Pezzo Surfaces
  10:30-11:00   Coffee
  11:00-12:00 Jean-Louis Colliot-Thélène Representations of Integral Quadratic Forms by Integral Quadratic Forms, I
  12:00-13:00   Lunch
  14:45-15:30   Coffee, Tea, and Cake
    Florian Hess Afternoon Session
  15:30-16:30 Jean-Louis Colliot-Thélène Representations of Integral Quadratic Forms by Integral Quadratic Forms, II
  16:45-17:15 Victor Flynn Cycles of Covers
  17:30-18:00 Abhinav Kumar K3 Surfaces Corresponding To Genus 2 Curves
  18:00-19:00   Dinner
Wednesday, July 25 08:00-09:00   Breakfast
  09:30-10:30 Ronald van Luijk Arithmetic of K3 Surfaces
  10:30-11:15   Coffee
  11:15-12:15 Olivier Wittenberg Albanese Torsors and the Elementary Obstruction
  12:15-13:00   Lunch
      Free Afternoon
Thursday, July 26 08:00-09:00   Breakfast
  09:30-10:30 Noam Elkies RM Abelian Surfaces Over Q
  10:30-11:15   Coffee
  11:15-12:15 David Harari Non-Abelian Descent on Enriques Surfaces
  12:15-13:00   Lunch
  14:45-15:30   Coffee, Tea, and Cake
    Jean-Louis Colliot-Thélène Afternoon Session (Higher-Dimensional Varieties)
  15:30-16:15 Remke Kloosterman Elliptic Curves Over Q(t, s)
  16:25-17:10 Tony Varilly Del Pezzo Surfaces of Degree 1
  17:30-18:00 Ulrich Derenthal Singular del Pezzo Surfaces and Root Systems
  18:00-19:00   Dinner
Friday, July 27 08:00-09:00   Breakfast
  09:30-10:30 Andrew Kresch Effective Computation of Brauer-Manin Obstructions
  10:30-11:15   Coffee
  11:15-12:15 Yuri Tschinkel Rational Points on Surfaces
  12:15-13:00   Lunch
  14:45-15:30   Coffee, Tea, and Cake
    Michael Stoll Wrap-up Session
  15:30-15:40   Workshop Feedback
  15:45-15:55 Anna Posingies Calculation of Scattering Matrices
  16:00-16:10 Jan Steffen Müller Canonical Heights on Hyperelliptic Jacobians
  16:15-16:25 Thomas Ludsteck p-adic Integration
  16:45-17:15 Ronald van Luijk Computing the Picard Rank of a K3 Surface
  17:30-18:00   Problem Session
  18:00-19:00   Dinner
Saturday, July 28 08:30-09:30   Breakfast


Michael Stoll (Jacobs University Bremen*)

Supported by

Jacobs University Bremen*; Deutsche Forschungsgemeinschaft; Number Theory Foundation

*formerly International University Bremen
Last modified: 2008-07-28
Michael Stoll