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Phone (617) 253-1000
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BC-MIT Number Theory Seminar

Tuesday, Feb 5, 2013 3:00p to 4:00p

Real multiplication abelian surfaces with everywhere good reduction
There are no abelian schemes over Spec(Z), by a theorem of Fontaine and Abrashkin. On the other hand, there are several examples of elliptic curves over quadratic fields with good reduction everywhere, the first being given by Tate and Serre over the field Q(sqrt(29)).
I will report on recent joint work with Lassina Dembele, in which we produce several examples of abelian surfaces with real multiplication, defined over a real quadratic
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Massachusetts Institute of Technology (MIT)
77 Massachusetts Ave.
Cambridge, MA 02139
(617) 253-1000
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