BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Rachel Pries (Colorado State University) DTSTART:20200703T170000Z DTEND:20200703T180000Z DTSTAMP:20260423T200759Z UID:ANTS14/24 DESCRIPTION:Title: Principal polarizations and Shimura data for families of cyclic covers of the projective line\nby Rachel Pries (Colorado State University) as pa rt of Algorithmic Number Theory Symposium (ANTS XIV)\n\n\nAbstract\nConsid er a family of degree m cyclic covers of the projective line\, with any nu mber of branch points and inertia type. The Jacobians of the curves in thi s family are abelian varieties having an automorphism of order m with a pr escribed signature. For each such family\, the signature determines a PEL -type Shimura variety. Under a condition on the class number of m\, we de termine the Hermitian form and Shimura datum of the component of the Shimu ra variety containing the Torelli locus. For the proof\, we study the bou ndary of Hurwitz spaces\, investigate narrow class numbers of real cycloto mic fields\, and build on an algorithm of Van Wamelen about principal pola rizations on abelian varieties with complex multiplication. This is joint work with Li\, Mantovan\, and Tang.\n\nThis invited talk by Rachel Pries was hosted by Renate Scheidler\n LOCATION:https://researchseminars.org/talk/ANTS14/24/ END:VEVENT END:VCALENDAR