Ciaran Schembri

Dartmouth College Dartmouth College

Torsion points on abelian surfaces with potential quaternionic multiplication

Linfoot Number Theory Seminar

19th January 2021, 4:00 pm – 5:00 pm
Virtual Seminar, link will be sent out in an email

In a celebrated work Mazur classified which torsion subgroups can occur for elliptic curves defined over the rationals. In this talk I will give an overview to the analogue question of which torsion subgroups can occur for abelian surfaces defined over the rationals which over some extension obtain endomorphisms by an order in a quaternion algebra.

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