Abelian varieties over finite fields

nt.number-theory ag.algebraic-geometry
Start Date
2019-01-31 
End Date
2019-02-03 
Institution
ICERM 
City
Providence, RI 
Country
USA 
Meeting Type
software development workshop 
Homepage
https://icerm.brown.edu/events/sc19-2-avoff/ 
Contact Name
 

Description

This will be a hands-on workshop focused on a specific computational problem: enumerating all isomorphism classes of abelian varieties of 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.

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