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SUMMARY:Singular moduli for real quadratic fields and p-adic mock modular 
 forms - Jan Vonk (Oxford)
DTSTART:20181127T143000Z
DTEND:20181127T153000Z
UID:TALK110299@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION:The theory of complex multiplication describes finite abelian 
 extensions of imaginary quadratic number fields using singular moduli\, wh
 ich are special values of modular functions at CM points. I will describe 
 joint work with Henri Darmon in the setting of real quadratic fields\, whe
 re we construct p-adic analogues of singular moduli through classes of rig
 id meromorphic cocycles. I will discuss p-adic counterparts for our propos
 ed RM invariants of classical relations between singular moduli and the th
 eory of weak harmonic Maass forms.
LOCATION:MR13
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