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UID:node-3067168@mathematics.huji.ac.il
DTSTAMP:20220110T123000Z
DTSTART:20220110T123000Z
DTEND:20220110T140000Z
SUMMARY:HUJI NT Seminar - Bogdan Dina
DESCRIPTION:Title: Isogenous (non-)hyperelliptic CM Jacobians: constructions, results, and Shimura class groups\n\nAbstract: Jacobians of CM curves are abelian varieties with a particularly large endomorphism algebra, which provides them with a rich arithmetic structure. The motivating question for the results in this talk is whether we can find hyperelliptic and non-hyperelliptic curves with maximal CM by a given order whose Jacobians are isogenous.\n\nJoint work with Sorina Ionica, and Jeroen Sijsling considers this question in genus 3 by using the catalogue of CM fields in the LMFDB, and found a (small) list of such isogenous Jacobians. This talk describes the main constructions, some results, and Shimura class groups.
LOCATION:The link will be sent to you after registration
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