Elena.Mantovan

Affiliation: California Institute of Technology

Title Of Talk: Infinitely many primes of basic reduction for some abelian fourfolds

URLS:
https://arxiv.org/pdf/2511.05322

Abstract: Elkies proved that if E is an elliptic curve defined over a field with at least one real embedding, then it has infinitely many primes of supersingular reduction. In this talk, I will discuss a generalization of this result for certain abelian fourfolds with multiplication by the 5th cyclotomic field. The proof relies on the study of the distribution of real CM points on a unitary Shimura curve. This is based on joint work with W. Li, R. Pries and Y. Tang.

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