BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Yong Suk Moon (Univ of Arizona)
DTSTART:20211108T230000Z
DTEND:20211108T235000Z
DTSTAMP:20260423T024758Z
UID:UCLA_NTS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/38/
 ">Prismatic crystals and crystalline representations in the relative case<
 /a>\nby Yong Suk Moon (Univ of Arizona) as part of UCLA Number Theory Semi
 nar\n\n\nAbstract\nLet k be a perfect field of characteristic p > 2\, and 
 let K be a finite totally ramified extension of W(k)[1/p]. Bhatt-Scholze r
 ecently proved that the category of prismatic F-crystals on the absolute p
 rismatic site over O_K is equivalent to the category of lattices of crysta
 lline representations of G_K. We study an analogous situation in the relat
 ive case. Let Spf R be an affine p-adic formal scheme smooth over O_K. We 
 show there is a natural faithful functor from the category of certain comp
 leted F-crystals on the absolute prismatic site over R to the category of 
 crystalline Z_p-local systems on the generic fiber of Spf R. Furthermore\,
  we show the functor gives an equivalence when R is a formal torus over O_
 K. This is a joint work with Heng Du\, Tong Liu\, Koji Shimizu.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/38/
END:VEVENT
END:VCALENDAR