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Number Theory Seminar

Wednesday, April 24, 2024
4:00pm to 5:00pm
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Linde Hall 310
Line bundles on abelian schemes and p-adic heights
Adebisi Agboola, Department of Mathematics, UC Santa Barbara,

Let $F$ be a number field with ring of integers $O_{F}$, and suppose that $E/O_{F}$ is an abelian scheme. If $p$ is a prime, to what extent is an element of $Pic^{0}(E)$ determined by its restriction to $p$-power torsion subgroup schemes of $E$? I shall describe an answer to this question that involves a new construction of the $p$-adic height pairing on $$E$. This is joint work in progress with F. Castella and M. Ciperiani.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].