Lawrence-Venkatesh in families

Abstract: We outline how the method of Lawrence-Venkatesh can be used in families to obtain 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.

number theory

Audience: researchers in the topic

London number theory seminar

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