SMS scnews item created by Brendan Creutz at Tue 16 Apr 2013 1301
Type: Seminar
Distribution: World
Expiry: 18 Apr 2013
Calendar1: 18 Apr 2013 1505-1600
CalLoc1: Carslaw 535A
Auth: (bcreutz) in SMS-WASM

Computational Algebra Seminar: Gruenewald -- Heuristics on pairing-friendly abelian varieties

Speaker: David Gruenewald
Title: Heuristics on pairing-friendly abelian varieties
Time & Place: 3-4pm, Thursday 18 April, Carslaw 535
We present heuristic asymptotic formulae for the number of isogeny classes 
of pairing-friendly abelian varieties (PFAVs) over prime fields, generalising 
previous work of John Boxall on elliptic curves.  By enumerating Weil numbers 
satisfying "pairing-friendly" conditions we were able to count the number of 
PFAVs and compare with the heuristic value.  In all the examples we computed, 
the results show good agreement with the heuristics.