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SUMMARY:Isogeny coincidences between families of elliptic curves - Martin 
 Orr (Manchester)
DTSTART:20240312T143000Z
DTEND:20240312T153000Z
UID:TALK213043@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:There are only finitely many algebraic numbers t such that the
  three elliptic curves with j-invariants t\, -t\, 2t are all isogenous to 
 each other.  This is predicted by the Zilber-Pink conjecture and was prove
 d by Christopher Daw and myself.  In this talk\, I will introduce the Zilb
 er-Pink conjecture for families of elliptic curves\, and outline our proof
  of the statement in the first sentence.  This builds on previous work of 
 Habegger and Pila and uses transcendence properties of G-functions.
LOCATION:MR13
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