Manchester Number Theory Seminar - Robin Visser
| Dates: | 6 February 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: Robin Visser (University of Warwick)
Title: The Effective Shafarevich Conjecture
Abstract: Let K be a number field, d a positive integer, and S a finite set of primes of K. One of the crowning achievements of 20th century arithmetic geometry was Faltings's proof that there are only finitely many isomorphism classes of dimension d abelian varieties A/K with good reduction away from S. Whilst several effective algorithms have been developed to explicitly classify elliptic curves with good reduction outside a finite set of primes, effectively solving this problem in higher dimensions remains a challenge. In this talk, I will give a brief survey on some known methods for classifying abelian varieties, and will present some work in progress on classifying isogeny classes of abelian surfaces over Q with good reduction away from 2.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
