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SUMMARY:Robert Pollack (Boston University)
DTSTART:20220503T203000Z
DTEND:20220503T213000Z
DTSTAMP:20260423T130647Z
UID:MITNT/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/50/">P
 redicting slopes of modular forms and reductions of crystalline representa
 tions</a>\nby Robert Pollack (Boston University) as part of MIT number the
 ory seminar\n\nLecture held in Room 2-449 in the Simons Building (building
  2).\n\nAbstract\nThe ghost conjecture predicts slopes of modular forms wh
 ose residual representation is locally reducible.  In this talk\, we'll ex
 amine locally irreducible representations and discuss recent progress on f
 ormulating a conjecture in this case.  It's a lot trickier and the story r
 emains incomplete\, but we will discuss how an irregular ghost conjecture 
 is intimately related to reductions of crystalline representations.\n
LOCATION:https://researchseminars.org/talk/MITNT/50/
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