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SUMMARY:Hanneke Wiersema
DTSTART:20200531T163000Z
DTEND:20200531T165000Z
DTSTAMP:20260419T092614Z
UID:CARTOON/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CARTOON/9/">
 Serre's conjecture and two notions of minimal weight</a>\nby Hanneke Wiers
 ema as part of Cross Atlantic Representation Theory and Other topics ONlin
 e (CARTOON) conference\n\n\nAbstract\nThe strong form of Serre's conjectur
 e states that every two-dimensional continuous\, odd\, irreducible mod $p$
  Galois representation arises from a modular form of a specific minimal we
 ight\, level and character. We will see how one can use modular representa
 tion theory to prove the minimal weight is equal to a notion of minimal we
 ight inspired by the recipe for weights introduced by Buzzard\, Diamond an
 d Jarvis. We will also briefly touch on generalisations of this\, again us
 ing modular representation theory\, which is the subject of work in progre
 ss.\n
LOCATION:https://researchseminars.org/talk/CARTOON/9/
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