Isogenous (non-)hyperelliptic CM Jacobians: constructions, results, and Shimura class groups
Seminar
Speaker
Bogdan Dina (Hebrew University of Jerusalem)
Date
22/06/2022 - 11:30 - 10:30Add to Calendar
2022-06-22 10:30:00
2022-06-22 11:30:00
Isogenous (non-)hyperelliptic CM Jacobians: constructions, results, and Shimura class groups
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.
Joint 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.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room, Mathematics building, and on Zoom. See link below.
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract
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.
Joint 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.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Last Updated Date : 31/05/2022
