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SUMMARY:Ana Caraiani (Imperial)
DTSTART:20200806T160000Z
DTEND:20200806T172000Z
DTSTAMP:20260423T035739Z
UID:RAMpAGe/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/7/">
 A comparison theorem for ordinary p-adic modular forms</a>\nby Ana Caraian
 i (Imperial) as part of Recent Advances in Modern p-Adic Geometry (RAMpAGe
 )\n\n\nAbstract\nI will discuss joint work in progress with Elena Mantovan
  and James Newton\, whose goal is to compare ordinary completed cohomology
  with (higher) Hida theory\, in the special case of the modular curve. Bot
 h these notions go back to Hida\, though the former can be reinterpreted u
 sing Emerton’s functor of ordinary parts applied to completed cohomology
 \, and the latter has been redeveloped and expanded recently by Boxer and 
 Pilloni to incorporate higher coherent cohomology. Our work gives a new pr
 oof to a theorem of Ohta\, that is perhaps more amenable to generalisation
 . The key ingredients are the Bruhat stratification on the Hodge-Tate peri
 od domain\, and the integral comparison results pioneered by Bhatt\, Morro
 w and Scholze.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/7/
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