Manchester Number Theory Seminar - Netan Dogra
| Dates: | 17 October 2023 |
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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: Netan Dogra (KCL)
Title: The Chabauty-Coleman method in higher dimensions and in families
Abstract: The Chabauty-Coleman method is a method for proving an explicit bound on the number of rational points on a curve. In this talk I will discuss generalisations where a single curve is replaced by a family of subvarieties of a family of abelian varieties. I will explain how a suitable version of the Ax-Schanuel theorem can be used to prove finiteness results. I will then also discuss how one can prove explicit bounds on the number of exceptional points in some cases, generalising a recent theorem of Caro and Pasten for rational points on surfaces inside a rank one abelian variety.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
