Manchester Number Theory Seminar - Guy Fowler
| Dates: | 12 November 2024 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Guy Fowler (University of Manchester)
Title: Some uniform effective André-Oort results
Abstract: Pila's proof of André-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
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Frank Adams 1
Alan Turing Building
Manchester
