# Workshop Programme

## for period 9 February - 8 July 2004

### Ranks of Elliptic Curves and Random Matrix Theory

9 February - 8 July 2004

Timetable

Monday 9 February | ||||

Session: Spitalfields Day - Random Matrix Theory & the Birch/Swinnerton-Dyer Conjecture | ||||

11:00-11:45 | Birch, B; Swinnerton-Dyer, P (Oxford, Cambridge) |
|||

The origins of the Birch/Swinnerton-Dyer conjecture: some personal reminiscences | Sem 1 | |||

12:00-12:45 | Silverberg, A (Ohio State) |
|||

Ranks of elliptic curves | Sem 1 | |||

14:30-15:15 | Delaunay, C (Ecole Poly. Federale de Lausanne) |
|||

Heuristics on Class groups and on Tate-Shafarevich groups | Sem 1 | |||

15:30-16:15 | Rubinstein, M (Waterloo, Canada) |
|||

Moments, L-values & Ranks | Sem 1 | |||

16:45-17:30 | David, C (Concordia) |
|||

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

Tuesday 10 February | ||||

09:30-18:00 | Snaith, N (Bristol) |
|||

Ranks of elliptic curves & random matrix theory | Sem 1 | |||

11:15-18:00 | Rubin, K (Stanford) |
|||

Constructing rank 2 & rank 3 twists | Sem 1 |

Wednesday 11 February | ||||

Session: Ranks of Elliptic Curves \& Random Matrix Theory | ||||

11:30-18:00 | Rubinstein, M (Waterloo, Canada) |
|||

Numerical evidence | Sem 1 | |||

Thursday 12 February | ||||

11:15-18:00 | Possible new applications of RMT (distribution of rank 2 lattices, elliptic curves over number fields, higher weight forms) |

Friday 13 February | ||||

Session: Ranks of Elliptic Curves \& Random Matrix Theory | ||||

09:00-18:00 | Ulmer, D (Arizona) |
|||

Heuristics for large rank | Sem 1 | |||

10:00-18:00 | Watkins, M (Pennsylvania State) |
|||

Numerical evidence | Sem 1 | |||

11:15-18:00 | Discussion session (including a discussion of possible applications) | |||

12:30-13:30 | Lunch | |||

14:30-18:00 | Hughes, C (AIM) |
|||

Using RMT to predict large values | Sem 1 | |||

Tuesday 18 May | ||||

13:00-14:00 | Widom, H (UC Santa Cruz) |
|||

Differencial equations for Dyson processes | Sem 1 | |||

14:00-15:00 | Zirnbauer, M (Koln) |
|||

Granular Bosanization | Sem 1 |

Friday 21 May | ||||

Session: Satellite at Warwick | ||||

10:00-11:00 | Fyodorov, Y (Brunel) |
|||

Complexity of random energy landscapes, glass transition and absolute value of spectral determinant of random matrices | Sem 1 | |||

Thursday 8 July | ||||

16:00-17:00 | Green, B (Univ of British Columbia) |
|||

Arithmetic progressions of primes | Sem 1 |