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SUMMARY:Yu Min (Imperial College London)
DTSTART:20221116T160000Z
DTEND:20221116T170000Z
DTSTAMP:20260418T064739Z
UID:LNTS/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/78/">Ho
 dge--Tate crystals and Sen theory</a>\nby Yu Min (Imperial College London)
  as part of London number theory seminar\n\nLecture held in Huxley 139\, I
 mperial.\n\nAbstract\nLet $K$ be a finite extension of $\\mathbb Q_p$. Bha
 tt and Scholze have proved that the category of prismatic $F$-crystals on 
 the absolute prismatic site of $\\mathcal O_K$ is equivalent to the catego
 ry of crystalline $\\mathbb Z_p$-representations of the absolute Galois gr
 oup of $K$. In this talk\, we will instead consider the (rational) Hodge--
 Tate crystals on the absolute prismatic site of $\\mathcal O_K$ or more ge
 nerally of a smooth $p$-adic formal scheme. We will show how Hodge--Tate c
 rystals are related to the Sen theory. If time permits\, we will also disc
 uss its application in the arithmetic $p$-adic Simpson correspondence. Thi
 s is joint work with Yupeng Wang.\n
LOCATION:https://researchseminars.org/talk/LNTS/78/
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