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Session 2. Algebraic Geometry
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A uniformization for the moduli space of abelian varieties of dimension six |
Gavril Farkas, Humboldt Universität zu Berlin, Germany
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The general principally polarized abelian variety of dimension at
most five is known to be a Prym variety. This reduces the study of
abelian varieties of small dimension to the beautifully concrete
theory of algebraic curves. I will discuss recent progress on
finding a structure theorem for principally polarized abelian
varieties of dimension six, and the implications this uniformization
result has on the geometry of the moduli space \(A_6\).
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