=======================================================================
=== WORKSHOP: Explicit Algebraic Number Theory ========================
=======================================================================

October 11th to 15th, 2004
Centre Emile Borel, Institut Henri Poincare.

Organized by K. Belabas and H. Cohen.

Unless mentioned otherwise lectures will be held in Amphitheatre Hermite
For more information see www.ihp.jussieu.fr


Monday, October 11
------------------

  10:00 - 11:00  H. Cohen
  Short Course: Number field enumeration I.

  Coffee break

  11:30 - 12:30  R. Osburn
  Vanishing of eigenspaces and cyclotomic fields.

  Lunch

  14:00 - 15:00  J. Voigt
  Representation of primes by quadratic forms.

  15:00 - 15:45  I. Jarasi
  Enumerating the solutions of unit equations.

  Coffee break

  16:15 - 18:15  D. Zagier
  Séries thêta (Collège de France, salle 2) [to be confirmed]


Tuesday, October 12
-------------------

  10:00 - 11:00  H. Cohen
  Short Course: Number field enumeration II.

  Coffee break

  11:30 - 12:15  J. Klueners
  A database of number fields.

  Lunch

  14:00 - 15:00  C. van de Woestijne
  Deterministic equation solving over finite fields.

  15:15 - 16:00  S. Donnelly
  Congruences for S-units and descent on elliptic curves.

  Coffee break


Wednesday, October 13
---------------------

  10:00 - 11:00  H. Cohen
  Short Course: Number field enumeration III.

  Coffee break

  11:30 - 12:15  I. Suarez
  Corps cyclotomiques et reseaux Arakelov-modulaires.

  Lunch

  14:00 - 15:00  M. Bhargava
  Factorials (!) and p-adic locally analytic functions.

  15:15 - 16:00  K. Belabas
  Factoring univariate polynomials over global fields.

  Coffee break


Thursday, October 14
--------------------

  10:00 - 11:00  E. Bayer
  Recent results concerning Euclidean number fields and Euclidean minima.

  Coffee break

  11:30 - 12:00  D. Simon
  Parametrizing the solutions of quadratic equations.

  12:05 - 12:35  B. Allombert
  Squarefree factorization over Z

  Lunch

  14:00 - 16:00  M. Bhargava
  Higher composition laws and applications. (Collège de France, salle 2)

  Coffee break


Friday, October 15
------------------

  10:00 - 11:00  H. W. Lenstra
  The nesting depth of radical expressions.

  Coffee break

  11:30 - 12:30  C. Maire
  Cancellation in totally definite quaternion algebras

  Lunch

  14:00 - 14:45  E. Friedman
  Heights of algebraic numbers modulo multiplicative group actions.

  15:00 - 15:30  A. Berczes
  On norm form equations with solutions forming arithmetic progressions.

  15:30 - 16:00  J. Weinstein
  The quadratic form p x^2 - q y^2 and continued fractions.

=============================================================================
IHP - Centre Emile Borel - 11, rue Pierre et Marie Curie F-75005 Paris France
Telephone : 01 44 27 67 64 - Fax : 01 44 0709 37