Manchester Number Theory Seminar - Alex Torzewski
Dates: | 18 October 2022 |
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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Speaker: Alex Torzewski (King's College London)
Title: Lawrence-Venkatesh bounds for curves in families
Abstract: We outline how the method of Lawrence-Venkatesh to bound rational points via p-adic period mappings can be used to study curves in families. This leads to upper bounds on the number of rational points on curves of genus > 1 depending only on the reduction modulo a well chosen prime and the primes of bad reduction. This was first shown by Faltings as a consequence of the Mordell and Shafarevich Conjectures.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester