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SUMMARY:Lynnelle Ye (Stanford University)
DTSTART:20210127T160000Z
DTEND:20210127T170000Z
DTSTAMP:20260418T064713Z
UID:LNTS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/26/">Pr
 operness for eigenvarieties</a>\nby Lynnelle Ye (Stanford University) as p
 art of London number theory seminar\n\n\nAbstract\nCan a family of finite-
 slope modular Hecke eigenforms lying over a punctured disc in weight space
  always be extended over the puncture? This was first asked by Coleman and
  Mazur in 1998 and settled by Diao and Liu in 2016 using deep\, powerful G
 alois-theoretic machinery. We will discuss a new proof which is geometric 
 and explicit and uses no Galois theory\, and which generalizes in some cas
 es to Hilbert modular forms. We adapt an earlier method of Buzzard and Cal
 egari based on elementary properties of overconvergent modular forms\, for
  which we have to extend the construction of Andreatta-Iovita-Pilloni over
 convergent forms farther into the supersingular locus.\n
LOCATION:https://researchseminars.org/talk/LNTS/26/
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