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UID:8689@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250624T140000
DTEND;TZID=Europe/Paris:20250624T150000
DTSTAMP:20250619T153647Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-236/
SUMMARY:Patrick Allen (McGill University): Modular orbifolds and derived Ga
 lois deformation theory 
DESCRIPTION:Patrick Allen: An example of Serre shows that in the strong for
 m of his modularity conjecture\, one can't always ask for minimal nebentyp
 us. Serre and Carayol independently explained that this obstruction is due
  to nontrivial isotropy groups on certain modular orbifolds\, hence only o
 ccurs for the primes 2 and 3 and certain Galois representations called bad
 ly dihedral.\n\nCuriously\, when studying the deformation theory of a mod 
 p modular Galois representation for an odd prime p\, the same badly dihedr
 al representations for p = 3 arise: it is exactly for these that the minim
 al deformation ring does not appear to be a flat local complete intersecti
 ons over the ring of Witt vectors.\n\nWe explain this link via a derived v
 ersion of a minimal R = T theorem. As a corollary\, we can characterize wh
 en these badly dihedral representations admit lifts with minimal weight\, 
 level\, and nebentypus. This is joint work in progress with Preston Wake.
CATEGORIES:Séminaire,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
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