(Tentative) Programme of lectures and courses

4-8 October 2004

Centre Émile Borel, Institute Henri Poincaré

All lectures will be held in the Amphitheatre Hermite. For more information see www.ihp.jussieu.fr.
Time Monday Tuesday Wednesday Thursday Friday
09:50 - 10:00

Opening Remarks



10:00 - 10:55

Manjul Bhargava

Universal quadratic forms and the Conway-Schneeberger 290-Conjecture

Michael Stoll

Implementing the Brauer-Manin obstruction on curves

Miles Reid

Unprojection and Gorenstein rings in small codimensions

William Stein

Computations related to the BSD conjecture for modular abelian varieties using Magma

John Cremona

Finding all elliptic curves with good reduction outside a given set of primes

11:00 - 11:25 John Voight

Computing the reciprocity law for CM points on Shimura curves

Josef Schicho

Deciding rational rationality of algebraic surfaces

Grégoire Lecerf

Evaluation techniques for polynomial system solving

Markus Grassl

Constructing algebraic-geometric codes with Magma

Emmanuel Hallouin

Computation of a family of covers of P^1_C giving rise to totally real PSL_2(F_8)-extensions of Q

11:30 - 12:25 John Cannon

An overview of algebraic geometry in Magma

Gavin Brown

Graded rings over K3 surfaces

Reynald Lercier

Elliptic curve point counting over finite fields

Allan Steel

Computing Groebner bases with linear algebra

Florian Hess

Algorithms for function fields and curves with applications in cryptography and coding theory

12:30 - 14:00 Lunch
14:00 - 14:25 Short Course: Wieb Bosma

Arithmetic Fields I - From Number to Field and beyond

Janka Pilnikova

Finding rational points on Severi-Brauer surfaces

Tom Fisher

Presentations of genus one curves

14:00 - 15:30

College de France Lecture

Manjul Bhargava

Higher composition laws and applications

Short Course: Michael Harrison

Schemes II - Mappings

14:30 - 14:55 Jean-Charles Faugère

Algebraic attacks and cryptanalysis of HFE using Groebner bases

15:00 - 15:55 Short Course: Gavin Brown

Schemes I - General

Jan Stevens

Computing in singularity theory

Frank-Olaf Schreyer

Computation of cohomology of coherent sheaves

Short Course: Michael Stoll

Hyperelliptic Curves II - General curves

16:00 - 16:30 16:15 - 18:15

College de France Lecture

Don Zagier

Les séries thêta

Afternoon Tea
16:30 - 17:25 Short Course: John Cremona

Elliptic Curves I

Short Course: Michael Stoll

Hyperelliptic Curves I - Hyperelliptic curves and curves of genus 2

Short Course: John Cremona

Elliptic Curves II

End of conference
17:30 - 18:25 Short Course: William Stein

Modular Forms I - Modular symbols and modular forms

Short Course: William Stein

Modular Forms II - Modular abelian varieties

Short Course: Florian Hess

Arithmetic Fields II - Function Fields


Last modified on 30 Sep 2004 by claus@maths.usyd.edu.au