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UID:20250918T080429EDT-3557juwK34@132.216.98.100
DTSTAMP:20250918T120429Z
DESCRIPTION: THE QUEBEC-VERMONT NUMBER THEORY SEMINAR\n\n \n\nTitle: Non-re
 gular loci in the Emerton-Gee stack for GL2\n\nAbstract: Let K be a finite
  extension of Qp. The Emerton-Gee stack for GL2 is a stack of etale (phi\,
  Gamma)-modules of rank two. Its reduced part\, X\, is an algebraic stack 
 of finite type over a finite field\, and can be viewed as a moduli stack o
 f two dimensional mod p representations of the absolute Galois group of K.
  By the work of Caraiani\, Emerton\, Gee and Savitt\, it is known that in 
 most cases\, the locus of mod p representations admitting crystalline lift
 s with specified regular Hodge-Tate weights is an irreducible component of
  X. Their work relied on a detailed study of a closely related stack of et
 ale phi-modules which admits a map from a stack of Breuil-Kisin modules wi
 th descent data. In our work\, we assume K is unramfied and further study 
 this map with a view to studying the loci of mod p representations admitti
 ng crystalline lifts with small\, non-regular Hodge-Tate weights. We ident
 ify these loci as images of certain irreducible components of the stack of
  Breuil-Kisin modules and obtain several inclusions of the non-regular loc
 i into the irreducible components of X. This is joint work with Rebecca Be
 llovin\, Neelima Borade\, Anton Hilado\, Heejong Lee\, Brandon Levin\, Dav
 id Savitt and Hanneke Wiersema.\n
DTSTART:20230928T143000Z
DTEND:20230928T153000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Kalyani Kansai (IAS)
URL:/mathstat/channels/event/kalyani-kansai-ias-351300
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