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SUMMARY:Jon Aycock (University of Oregon)
DTSTART:20210528T220000Z
DTEND:20210528T230000Z
DTSTAMP:20260423T024727Z
UID:UCSBsga/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/25/"
 >Overconvergent Differential Operators for Hilbert Modular Forms</a>\nby J
 on Aycock (University of Oregon) as part of UCSB Seminar on Geometry and A
 rithmetic\n\n\nAbstract\nIn the 1970's\, Katz constructed p-adic L-functio
 ns for CM fields by relating the values of the Dedekind zeta function to t
 he values of certain nearly holomorphic Eisenstein series. Crucial in his 
 construction was the action of the Maass--Shimura differential operators. 
 Katz's p-adic interpolation of these differential operators is only define
 d over the ordinary locus\, which leads to a restriction on what p are all
 owed. Recently\, this restriction has been lifted in the case of quadratic
  imaginary fields by Andreatta and Iovita using an "overconvergent" analog
  of the Maass--Shimura operator for elliptic modular forms. We will give a
 n overview of the theory of overconvergent Hilbert modular forms before co
 nstructing an "overconvergent" analog of the Maass--Shimura operator for t
 his setting.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/25/
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