# Integrability and Number Theory

## Edinburgh

## Friday March 12^{th}, 2010

This is a meeting of the Classical and Quantum Integrability seminar organised by the Universities of Glasgow, Leeds, Loughborough and the Edinburgh Mathematical Physics Group (Edinburgh and Heriot-Watt). The meeting is partially funded by the London Mathematical Society, the EMPG and Edinburgh University Geometry Seminar.

The meeting will look at some interactions between integrable systems and number theory. The talks are intended for a general audience with emphasis on connections between these areas.

### Speakers:

- A.N.W.Hone, Kent
- Paul Johnson, Imperial College
- Alexander Veselov, Loughborough
- Franco Vivaldi, Queen Mary College

### Programme:

10:15-10:45 | Coffee | |

10:45-11:45 | Hone | Integer sequences and integrable maps. |

12:00-1:00 | Johnson | Hurwitz numbers and the Infinite Wedge. |

1:00-2:15 | Lunch | |

2:15-3:15 | Vivaldi | Integrable vs. non-integrable when the space is discrete. |

3:15-3:45 | Coffee | |

3:45-4:45 | Veselov | Spectra of Sol-manifolds, or can one hear an indefinite binary quadratic form ? |

### Location:

Rm 4312, JCMB

Kings Buildings, University of Edinburgh,

Edinburgh.

### Local Organiser:

Harry Braden
School of Mathematics

James Clerk Maxwell Building

University of Edinburgh

Mayfield Rd, Edinburgh EH9 3JZ

Scotland

FAX 131-650-6553

Telephone 131-650-5072

email: hwb@ed.ac.uk
James Clerk Maxwell Building

University of Edinburgh

Mayfield Rd, Edinburgh EH9 3JZ

Scotland

FAX 131-650-6553

Telephone 131-650-5072