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SUMMARY:Aranya Lahiri (Indiana University)
DTSTART:20210114T220000Z
DTEND:20210114T230000Z
DTSTAMP:20260423T022804Z
UID:UCSD_NTS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/22/
 ">Resolutions of locally analytic principal series representations of GL_2
 (F)</a>\nby Aranya Lahiri (Indiana University) as part of UCSD number theo
 ry seminar\n\nLecture held in normally APM 7321\, currently online.\n\nAbs
 tract\nLocally analytic representations of $p$-adic analytic groups have p
 layed a crucial role in many areas of arithmetic and representation theory
   (including in $p$-adic local Langlands program) since their introduction
  by Schneider and Teitelbaum. In this talk we will briefly review some asp
 ects of the theory of locally analytic representations.  Then\, for a loca
 lly analytic representation $V$ of $GL_2(F)$ we will construct a coefficie
 nt system attached to the Bruhat-Tits tree of $Gl_2(F)$. Finally we will u
 se this coefficient system to construct a resolution for locally analytic 
 principal series of $GL_2(F)$.\n\npre-talk at 1:30. I will discuss basics 
 and some key examples of locally analytic representations in the pre-talk.
 \n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/22/
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