Monday 9th July |

9:00 – 9:30 |
Registration in the School of Mathematics |

9:30 – 10:30 |
Harald Helfgott |
p^{3}+2
is square-free infinitely often |

11:00 – 12:00 |
Per Salberger |
Heath-Brown's determinant method and
volumes of divisors |

13:30 – 14:30 |
Trevor Wooley |
The circle method and Diophantine equations
in function fields |

15:00 – 16:00 |
Alexei Skorobogatov |
Equations of universal torsors over smooth
del Pezzo surfaces |

16:30 – 18:00 |
Contributed talks:
see below. |

Tuesday 10th July |

9:30 – 10:30 |
Sir Peter Swinnerton-Dyer |
The effect of twisting on the 2-Selmer group |

11:00 – 12:00 |
Jörg Brüdern |
Sums of cubes |

13:30 – 14:30 |
Jean-Louis Colliot-Thélène |
Representation of integral quadratic forms
by integral quadratic forms |

15:00 – 16:00 |
Christopher Hooley |
Polynomials that are sums of two
k^{th} powers |

16:30 – 17:30 |
Contributed talks:
see below. |

Wednesday 11th July |

9:30 – 10:30 |
Roger Heath-Brown |
Zeros of p-adic
forms |

11:00 – 12:00 |
Yuri Tschinkel |
Arithmetic of surfaces |

13:30 – 14:30 |
Emmanuel Peyre |
Rational points on Iskovskikh surfaces:
geometric aspects |

15:00 – 16:00 |
Régis de la Bretèche |
Rational points on Iskovskikh surfaces:
analytic number theory |

18:30 for 19:30 |
Conference dinner at
Goldney
Orangery |

Thursday 12th July |

9:30 – 10:30 |
Ulrich Derenthal |
Universal torsors of del Pezzo surfaces
and Manin's conjecture |

11:00 – 12:00 |
Bjorn Poonen |
The Brauer–Manin obstruction for
subvarieties of Abelian varieties over function fields |

13:30 – 14:30 |
Rainer Dietmann |
Systems of cubic forms |