A family of Jacobians with definite quaternionic multiplication

John Voight (Dartmouth)

21-Mar-2022, 20:15-21:15 (2 years ago)

Abstract: We investigate explicitly a family of hyperelliptic curves of genus four whose Jacobians have definite quaternionic multiplication. This family has many interesting features, including: they give infinitely many examples where the ell-adic monodromy groups are disconnected over the field of definition of the endomorphism ring. This is joint work with Victoria Cantoral-Farfan and Davide Lombardo.

number theory

Audience: researchers in the discipline


Boston University Number Theory Seminar

Series comments: The seminar will now meet in CDS 365 (in the new building!). Tea begins at 3:30 in the same room.

Organizer: Robert Pollack*
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