Organizing Committee
Massachusetts Institute of Technology
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.
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.


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