Abelian Varieties Multi-Site Seminar Series: Andrew Fiori

  • Date: 01/28/2016
Andrew Fiori, University of Calgary

University of Calgary


The Distribution of J-invariants for CM Elliptic Curves defined over Zp [video]


Let K be a quadratic imaginary field, and p be a prime which is inert in K. It is known that the mod p reductions of the j-invariants of elliptic curves defined over the algebraic closure of Qp which admit CM by an order of K are equidistributed among the supersingular values in F{p2}. By contrast, if we replace this algebraically closed field by Qp, the j-invariants for many natural families of orders do not share this same distribution and are simply not uniformly distributed among all the supersingular values in Fp.


In this talk I will explain why this occurs, and some of the computations which led me to consider this question.

Other Information: 
A video of this event is available on mathtube.org.

Bluejeans Connection Info:

Meeting Title: AV-CRG-Seminars 2016
Meeting Time: Every Thursday • from January 14, 2016 • through April 28, 2016 • noon MST / 1 hr

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