A universal formula for the canonical lifting of an ordinary elliptic curve

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Event details

Date 23.08.2012
Hour 11:1512:30
Speaker Altan Erdogan
Location
Category Conferences - Seminars
One consequence of the Serre-Tate theorem for ordinary abelian varieties is that any ordinary elliptic curve E defined over a finite field k=F_q has a canonical lifting X which is an elliptic curve defined over W(k). As the construction of X is canonical we can express the relation between E and X using their j-invariants. In this
talk we discuss two specific questions on this relation and give some conditional answers to these questions: Is there a universal formula for j(X) depending on p and j(E)? If such a formula exists how can we find it?

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Practical information

  • General public
  • Free

Organizer

  • CIB

Contact

  • Isabelle Derivaz-Rabii

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