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BEGIN:VEVENT
UID:8712@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250902T140000
DTEND;TZID=Europe/Paris:20250902T150000
DTSTAMP:20250826T093149Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-bloch-kato-conjecture-fo
 r-some-four-dimensional-symplectic-galois-representations/
SUMMARY:Naomi Sweeting (Princeton): On the Bloch–Kato Conjecture for some
  four-dimensional symplectic Galois representations
DESCRIPTION:Naomi Sweeting: The Bloch–Kato Conjecture predicts a relation
  between Selmerranks and orders of vanishing of L-functions for certain Ga
 loisrepresentations. In this talk\, I’ll describe results towards thisco
 njecture in ranks 0 and 1 for the self-dual Galois representationsthat com
 e from Siegel modular forms on GSp(4) with parallel weight (3\,3). The key
  step is a construction of auxiliary ramified Galoiscohomology classes\, w
 hich then give bounds on Selmer groups\; theramified classes come from lev
 el-raising congruences and the geometryof special cycles on Siegel threefo
 lds.   
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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DTSTART:20250330T030000
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