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SUMMARY:Alice Pozzi (University College London)
DTSTART:20210219T163000Z
DTEND:20210219T173000Z
DTSTAMP:20260423T024835Z
UID:LAGA-AGAA/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGA-AGAA/9/
 ">Derivatives of Hida families\, diagonal restriction and rigid meromorphi
 c cocycles</a>\nby Alice Pozzi (University College London) as part of Sém
 inaire de géométrie arithmétique et motivique (Paris Nord)\n\n\nAbstrac
 t\nA rigid meromorphic cocycle is a class in the first cohomology of the g
 roup $\\SL_2(\\mathbf Z[1/p])$ acting on the non-zero rigid meromorphic fu
 nctions on the Drinfeld p-adic upper half plane by Möbius transformation.
  The values of rigid meromorphic cocycles at real quadratic points are con
 jecturally algebraic and are expected to play a role in the explicit class
  field theory for real quadratic fields.\n\nIn this talk\, we discuss the 
 connection between values of rigid meromorphic cocycles at real multiplica
 tion points and derivatives of Hida families for real quadratic fields. We
  explain how this relation can be exploited to deduce the algebraicity of 
 real multiplication values in some cases. This is joint work with Henri Da
 rmon and Jan Vonk.\n
LOCATION:https://researchseminars.org/talk/LAGA-AGAA/9/
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