Organizing Committee

  • Andrew Sutherland
    Massachusetts Institute of Technology
  • John Voight
    Dartmouth College
  • Abstract

    This will be a hands-on workshop focused on a specific computational
    problem: enumerating all isomorphism classes of abelian varieties of
    dimension g over a finite field of cardinality q, for a suitable
    range of integers g and q. Isogeny classes of abelian varieties over
    finite fields have been previously classified by Weil polynomials and
    can be found in the L-functions and Modular Form Database. The goal of
    this workshop is to refine this to the level of isomorphism classes,
    and, whenever possible, to construct explicit representatives for each
    isomorphism class. By exploiting recent theoretical and computational
    advances and assembling an appropriate team of experts, we hope to make
    rapid and substantial progress during this short, focused workshop
    and to have results available in advance of the conference on the
    Arithmetic of Low-dimensional Abelian Varieties that will take place at
    ICERM in June.

    This is a closed workshop that will not be accepting applications.

    Abelian varieties over finite fields

    This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
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