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Speaker:

Simon Myerson
Affiliation:

University of Warwick
Date:

Wed, 22/03/2023 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Contact: Pieter Moree (moree @ mpim-bonn.mpg.de)

A theorem of Serre states that almost all plane conics over Q have no rational point. We prove an analogue of this for a family of conics parametrised by certain elliptic curves using elliptic divisibility sequences and a version of the Selberg sieve. Another way to think about this result is: we show that 0% of points on elliptic curves have a denominator which is a sum of two squares.

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