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SUMMARY:Gill Moss (University of Utah)
DTSTART:20210423T221000Z
DTEND:20210423T231000Z
DTSTAMP:20260423T022810Z
UID:UCSBsga/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/20/"
 >Moduli of Langlands parameters</a>\nby Gill Moss (University of Utah) as 
 part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nThe local L
 anglands correspondence connects representations of p-adic groups to Langl
 ands parameters\, which are certain representations of Galois groups of lo
 cal fields. In recent work with Dat\, Helm\, and Kurinczuk\, we have shown
  that Langlands parameters\, when viewed through the right lens\, occur na
 turally within a moduli space over Z[1/p]\, and we can say some things abo
 ut the geometry of this moduli space. This geometry should be reflected in
  the representation theory of p-adic groups\, on the other side of the loc
 al Langlands correspondence. The "local Langlands in families" conjecture 
 describes the moduli space of Langlands parameters in terms of the center 
 of the category of representations of the p-adic group-- it was establishe
 d for GL(n) in 2018. The goal of the talk is to give an overview of this p
 icture\, including current work in-progress\, with some discussion of the 
 relation with recent work of Zhu and Fargues-Scholze.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/20/
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