BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chi-Yun Hsu (UCLA) DTSTART:20210318T150000Z DTEND:20210318T162000Z DTSTAMP:20260423T052622Z UID:RAMpAGe/32 DESCRIPTION:Title: Partial classicality of Hilbert modular forms\nby Chi-Yun Hsu (UCLA) as part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstra ct\nLet $p$ be an inert prime in a totally real field $F$ for simplicity. Using the method of analytic continuation\, Kassaei proved a classicality theorem: an overconvergent Hilbert $U_p$-eigenform is automatically classi cal when the slope is small compared to the weights. In analogy to overcon vergent forms\, which are defined over a strict neighborhood of the zero l ocus of the Hasse invariant\, one can define partially classical overconve rgent forms as defined over a strict neighborhood of the zero locus of a s ub-collection of partial Hasse invariants. Under a weaker small slope cond ition depending on the relevant weights\, we show that an overconvergent $ U_p$-eigenform is partially classical.\n LOCATION:https://researchseminars.org/talk/RAMpAGe/32/ END:VEVENT END:VCALENDAR