# Workshop Programme

## for period 12-16 July

### Matrix Ensembles and L-Functions

12-16 July

Timetable

Monday 12 July | ||

Session: Matrix Ensembles and L-Functions | ||

11:00-11:45 | Hughes, C (AIM) |
RMA |

Mollified \& amplified moments: Some new theorems \& conjectures | Sem 1 | |

12:00-12:30 | Montgomery, H (Michigan) |
RMA |

Primes \& pair correlation of zeros | Sem 1 | |

14:30-15:00 | Ivic, A (Belgrade) |
RMA |

On the moments of Hecke series at central points | Sem 1 | |

15:00-15:30 | Jutila, M (Turku) |
RMA |

The twelth moment of central values of Hecke series | Sem 1 | |

16:00-16:45 | Diaconis, P (Stanford) |
RMA |

Testing random matrix theory vs the zeta zeros | Sem 1 | |

17:00-17:30 | Bump, D (Stanford) |
RMA |

Automorphic summation formulae and moments of zeta | Sem 1 | |

17:30-18:00 | Smolyarenko, I (Cambridge) |
RMA |

Parametric RMT, discrete symmetries, \& cross-correlations between zeros of L-functions | Sem 1 | |

18:45-19:30 | Dinner at Wolfson Court (Residents Only) | RMA |

Tuesday 13 July | ||

09:30-10:20 | Kowalski, E (Bordeaux I) |
RMA |

A survey of elliptic curves | Sem 1 | |

11:00-11:45 | Soundararajan, K (Michigan) |
RMA |

Extreme values \& moments of L-functions | Sem 1 | |

12:00-12:30 | Booker, A (Paris-Sud) |
RMA |

Poles of L-functions \& the converse theorem | Sem 1 | |

14:30-15:20 | Sarnak, P (Princeton) |
RMA |

Perspectives on L functions and spectral theory | Sem 1 | |

16:00-16:45 | Keating, J (Bristol) |
RMA |

Negative moments | Sem 1 | |

20:30-18:00 | Lenstra Jr., H (Leiden) |
RMA |

Escher and the Droste effect | Sem 1 |

Wednesday 14 July | ||

Session: Matrix Ensembles and L-Functions | ||

09:30-10:20 | Ulmer, D (Arizona) |
RMA |

Introduction to function fields | Sem 1 | |

11:00-11:45 | Katz, N (Princeton) |
RMA |

Random matrix theory \& life over finite fields | Sem 1 | |

12:00-12:30 | Duenez, E (Texas) |
RMA |

Symmetry beyond root numbers: a GL(6) example (joint with S Miller) | Sem 1 |

Thursday 15 July | ||

09:30-10:20 | Rodriguez-Villegas, F (Texas) |
RMA |

Computing twisted central values of L-functions | Sem 1 | |

11:00-11:45 | Farmer, D (AIM) |
RMA |

The geometry of zeros | Sem 1 | |

12:00-12:30 | Nikeghbali, A (Pierre et Marie Curie) |
RMA |

Zeros of random polynomials \& linear combinations of random characteristic polynomials | Sem 1 | |

14:30-15:20 | Rubinstein, M (Waterloo) |
RMA |

Experiments in number theory \& random matrix theory | Sem 1 | |

16:00-16:45 | Gonek, S (Rochester) |
RMA |

A new statistical model of the Riemann zeta function | Sem 1 |

Friday 16 July | ||

09:30-10:20 | Gamburd, A (Stanford) |
RMA |

Applications of symmetric functions theory to random matrices | Sem 1 | |

11:00-11:45 | Zirnbauer, M (Köln) |
RMA |

Ratios of random characteristic polynomials from supersymmetry | Sem 1 | |

12:00-12:30 | David, C (Concordia) |
RMA |

Vanishing of L-functions of elliptic curves over number fields | Sem 1 | |

14:30-15:20 | Goldfeld, D (Columbia) |
RMA |

Multiple Dirichlet series, an historical survey | Sem 1 | |

16:00-16:45 | Snaith, N (Bristol) |
RMA |

Ratios of zeta functions \& characteristic polynomials | Sem 1 | |

17:00-17:30 | Perelli, A (Genova) |
RMA |

The Selberg class of L-functions: non-linear twists | Sem 1 | |

17:30-17:50 | Molteni, G (Milan) |
RMA |

Bounds at s=1 for an axiomatic class of L-functions | Sem 1 |

Other Seminars |

Seminars in the University National and International Scientific Research Meetings |