The Ceresa Cycle in Arithmetic and Geometry

ag.algebraic-geometry nt.number-theory
Start Date
2024-05-13
End Date
2024-05-17
Institution
ICERM
City
Providence, RI
Country
USA
Meeting Type
conference
Homepage
https://icerm.brown.edu/topical_workshops/tw-24-ccag/
Contact Name
Created
9/1/23, 3:54 AM
Modified
9/1/23, 3:54 AM

Description

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, that is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles, when these various approaches are systematically combined.

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