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SUMMARY:Lynnelle Ye (Stanford)
DTSTART:20201217T170000Z
DTEND:20201217T182000Z
DTSTAMP:20260423T021241Z
UID:RAMpAGe/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/27/"
 >The valuative criterion for properness for eigenvarieties</a>\nby Lynnell
 e Ye (Stanford) as part of Recent Advances in Modern p-Adic Geometry (RAMp
 AGe)\n\n\nAbstract\nThe question of whether the Coleman-Mazur eigencurve s
 atisfies the valuative criterion for properness was first asked by Coleman
  and Mazur in 1998 and settled by Diao and Liu in 2016 using deep\, powerf
 ul Galois-theoretic machinery. We will discuss a new proof which is short 
 and explicit and uses no Galois theory. Instead we adapt an earlier method
  of Buzzard and Calegari based on elementary properties of overconvergent 
 modular forms\, for which we have to extend Pilloni's geometric constructi
 on of overconvergent forms of arbitrary weight farther into the supersingu
 lar locus. We will also discuss generalizations in progress.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/27/
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