Number Theory Seminar: Torsion and moduli of surfaces with quaternionic multiplication, by Ciaran Schembri
April 26, 2024
1:00 PM - 1:50 PM
Ciaran Schembri (Dartmouth College): Torsion and moduli of surfaces with quaternionic multiplication
In a celebrated work Mazur classified which torsion subgroups can occur for elliptic curves defined over the rationals. A natural analogue is to consider surfaces with geometric endomorphisms by a quaternion order (PQM surfaces), since the associated moduli space is 1-dimensional. In this talk I will discuss progress towards classifying which torsion subgroups are possible for these surfaces. We also give a description of the moduli problem for PQM surfaces. This is joint work with Eran Assaf, Jef Laga, Freddy Saia, Ari Shnidman, Jacob Swenberg and John Voight.
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Date posted
May 1, 2024
Date updated
May 1, 2024
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