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SUMMARY:Jon Aycock (UCSD)
DTSTART:20221020T210000Z
DTEND:20221020T220000Z
DTSTAMP:20260423T024610Z
UID:UCSD_NTS/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/73/
 ">Differential operators for overconvergent Hilbert modular forms</a>\nby 
 Jon Aycock (UCSD) as part of UCSD number theory seminar\n\nLecture held in
  APM 6402 and online.\n\nAbstract\nIn 1978\, Katz gave a construction of t
 he $p$-adic $L$-function of a CM field by using a $p$-adic analog of the M
 aass--Shimura operators acting on $p$-adic Hilbert modular forms. However\
 , this $p$-adic Maass--Shimura operator is only defined over the ordinary 
 locus\, which restricted Katz's choice of $p$ to one that splits in the CM
  field. In 2021\, Andreatta and Iovita extended Katz's construction to all
  $p$ for quadratic imaginary fields using overconvergent differential oper
 ators constructed by Harron--Xiao and Urban\, which act on elliptic modula
 r forms. Here we give a construction of such overconvergent differential o
 perators which act on Hilbert modular forms.\n\npre-talk at 1:20pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/73/
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