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SUMMARY:Chi-Yun Hsu (UCLA)
DTSTART:20210225T140000Z
DTEND:20210225T150000Z
DTSTAMP:20260423T040227Z
UID:UCDANT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/7/">P
 artial classicality of Hilbert modular forms</a>\nby Chi-Yun Hsu (UCLA) as
  part of Dublin Algebra and Number Theory Seminar\n\n\nAbstract\nOverconve
 rgent Hilbert modular forms are defined over a strict neighborhood of the 
 ordinary locus of the Hilbert modular variety. The philosophy of classical
 ity theorems is that when the valuation of $U_p$-eigenvalues are small eno
 ugh (called a small slope condition)\, an overconvergent Hecke eigenform i
 s automatically classical\, namely\, it can be defined over the whole Hilb
 ert modular variety. On the other hand\, we can define partially classical
  forms as forms defined over a strict neighborhood of a “partially ordin
 ary locus”. We show that under a weaker small slope condition\, an overc
 onvergent form is automatically partially classical. We adapt Kassaei’s 
 method of analytic continuation.\n
LOCATION:https://researchseminars.org/talk/UCDANT/7/
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