Compactification of the moduli of polarized abelian varieties

Yuecheng Zhu (UT Austin)

We introduce a compactification of the moduli of polarized abelian varieties for arbitrary separable polarizations. There are two features: First, the construction is motivated by ideas from mirror symmetry. In particular, the toroidal compactification uses fans constructed from Mori fans of the mirror families. Secondly, the extended families near the boundaries are described in terms of KSBA stable pairs.

Tuesday, January 13th, at 4:00pm in HBH 227

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