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SUMMARY:Isabella Negrini (McGill University)
DTSTART:20211203T003000Z
DTEND:20211203T020000Z
DTSTAMP:20260423T040549Z
UID:UCSBsga/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/30/"
 >A Shimura-Shintani correspondence for rigid analytic cocycles</a>\nby Isa
 bella Negrini (McGill University) as part of UCSB Seminar on Geometry and 
 Arithmetic\n\n\nAbstract\nIn their paper Singular moduli for real quadrati
 c fields: a rigid analytic approach\, Darmon and Vonk introduced rigid mer
 omorphic cocycles\, i.e. elements of $H^1(\\mathrm{SL}_2(\\mathbb{Z}[1/p])
 \,\\mathcal{M}^\\times)$ where $\\mathcal{M}^\\timesx$ is the multiplicati
 ve group of rigid meromorphic functions on the $p$-adic upper-half plane. 
 Their values at RM points belong to narrow ring class fields of real quadr
 atic fiends and behave analogously to CM values of modular functions on $\
 \mathrm{SL}_2(\\mathbb{Z})\\backslash\\mathbb{H}$. In this talk I will pre
 sent some progress towards developing a Shimura-Shintani correspondence in
  this setting.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/30/
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