# British Mathematical Colloquium

This was held at Liverpool (Joint with BAMC): Liverpool (Joint with BAMC) 2005.

The enrolment was 520.

Organisers were P Giblin

The partner for this BMC was BAMC

### Minutes of meetings, etc. are available at the links below

#### The plenary speakers were:

Ball, J M | Open problems in the calculus of variations and elasticity |

Berry, M V | Physics of nonhermitian degeneracies |

Elkies, N | Recent progress in sphere packing |

Fantechi, B | Stacky techniques in enumerative geometry |

Friedman, A | Bifurcation from stability to instability in free boundary problems |

Khovanskii, A | The solvability and unsolvability of equations in finite terms |

McDuff, D | Remarks on groups of symplectomorphisms |

Maz'ya, V | Unsolved mysteries of solutions to PDEs near the boundary |

Milton, G | Composite materials: an old field of study full of new surprises |

Toland, J F | Standing waves |

Werner, J | Mathematical aspects of the scaling limit of 2-d critical systems |

#### The morning speakers were:

Davis, M H A | Complete market models for option trading with stochastic volatility |

Etheridge, A M | Some mathematical challenges from population genetics |

Gordon, I | Symplectic reflection algebras |

Heath-Brown, R | Counting rational points on algebraic varieties |

Lackenby, M | The geometry anf topology of finite Cayley grphs |

Luzzato, S | Rigorous numerical and probabilistic methods in dynamical systems |

Mond, D | Free divisors and how they multiply |

Robson, E | Mathematics and society in ancient Iraq |

Schroer, J | From preprojective algebras to Lie algebras |

Thomas, R | Counting curves - a survey of MNOP theory |

Wood, J C | Harmonic morphisms |

Wulff, C | Stability of Poisson equilibria |

#### Special session: Algebraic and arithmetic geometry, Organisers: E V Flynn and P Newstead

Bruin, N | Exhibiting elements of Tate-Shafarevich groups of Abelian varieties |

Peternell, T | Pseudo-effective line bundles and the canonical bundle |

Verra, A | Unirationality problems for algebraic varieties and moduli spaces |

#### Special session: Differential Equations, Organiser: E Shargorodsky

Chilton, D | The spectral representaion of two-point BVPs for arbitrary order linear evolution PDEs |

Dodds, N | Spectral properties of non-local operators |

Hydon, P | Symmetries of initial-value problems |

Kamotski, V | 2D Rayleigh-Taylor instabilities |