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Manchester Number Theory Seminar - Netan Dogra

Dates:17 October 2023
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
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  • Department of Mathematics

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  • In group "(Maths) Number theory "
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

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

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Martin Orr

martin.orr@manchester.ac.uk

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