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SUMMARY:Juan Esteban Rodriguez Camargo (Ecole Normale Supérieure de Lyon)
DTSTART:20220601T160000Z
DTEND:20220601T172000Z
DTSTAMP:20260423T021259Z
UID:RAMpAGe/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/72/"
 >Solid locally analytic representations of $p$-adic Lie groups</a>\nby Jua
 n Esteban Rodriguez Camargo (Ecole Normale Supérieure de Lyon) as part of
  Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract\nMotiva
 ted from the works of Lazard\, Schneider-Teitelbaum and Emerton\, and from
  the theory of condensed mathematics developed by Clausen and Scholze\, we
  give new foundations for the theory of locally analytic representations o
 f (compact) $p$-adic Lie groups. In this talk we will discuss how the inte
 rpretation of taking analytic vectors à la Emerton shows that the concept
  of being an analytic representation for some open compact subgroup is the
  same as being a module over some analytic distribution algebra. This obse
 rvation algebraizes the theory of locally analytic representations\, and s
 ome comparison  theorems of Lazard and Tamme  on continuous - locally anal
 ytic - Lie algebra  cohomology hold for general solid representations by b
 asic homological algebra arguments. Joint work with Joaquín Rodrigues Jac
 into.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/72/
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