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SUMMARY:Martin Ortiz (Imperial)
DTSTART:20241016T150000Z
DTEND:20241016T160000Z
DTSTAMP:20260418T070002Z
UID:LNTS/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/139/">T
 heta linkage maps and the weight part of Serre's conjecture</a>\nby Martin
  Ortiz (Imperial) as part of London number theory seminar\n\nLecture held 
 in Huxley 140\, Imperial College.\n\nAbstract\nThe weight part of Serre's 
 conjecture seeks to understand mod p congruences of automorphic forms of d
 ifferent weights. For modular forms a key ingredient in its proof was Edix
 hoven's use of the theta operator on the modular curve. I will explain the
  construction of a new family of theta operators on Shimura varieties\, an
 d how they are related to the conjectures of Herzig on the weight part of 
 Serre's conjecture. As an application I prove a generic entailment for the
  group GSp4\, i.e. a Hecke eigenform for a generic Serre weight in the low
 est alcove is also modular for a Serre weight in one of the upper alcoves.
 \n
LOCATION:https://researchseminars.org/talk/LNTS/139/
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