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Our goal is to bring together experts from different areas of mathematics all working on abelian varieties. This intradisciplanary workshop will give an overview of the very diverse tools used to study these classical objects. Some of the talks will be also motivated by applications to cryptography and statistics. During the week following the conference, there will be informal problem sessions and talks about the topics at the workshop. People interested in patercipating to this extra week should contact the organizers in advance.