# Manchester Number Theory Seminar - Guy Fowler

Dates: | 12 November 2024 |
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Times: | 15:00 - 16:00 |

What is it: | Seminar |

Organiser: | Department of Mathematics |

Who is it for: | University staff, External researchers, Current University students |

Speaker: Guy Fowler (University of Manchester)

Title: Some uniform effective AndrĂ©-Oort results

Abstract: Pila's proof of AndrĂ©-Oort implies that the special points lying on a hypersurface X \subset C^n are bounded by an ineffective constant which depends only on the degree of X and the degree of a field of definition for X. This constant may be made effective for certain families of hypersurfaces, at the cost of introducing a dependence on the height of X. In this talk, I will discuss some bounds which are both effective and uniform in the height for hypersurfaces corresponding to sums of powers equations in C^n.

Room: Frank Adams 1