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SUMMARY:[Cancelled] Local Langlands in families for classical groups in th
 e banal case - Robert Kurinczuk\, University of Sheffield
DTSTART:20220301T143000Z
DTEND:20220301T153000Z
UID:TALK169928@talks.cam.ac.uk
CONTACT:Jessica Fintzen
DESCRIPTION:The conjectural local Langlands correspondence connects repres
 entations of p-adic groups to representations of Galois groups of local fi
 elds called Langlands parameters.  In recent joint work with Dat\, Helm\, 
 and Moss\, we have constructed moduli spaces of Langlands parameters over 
 Z[1/p] and studied their geometry.  We expect this geometry is reflected i
 n the representation theory of the p-adic group.  Our main conjecture “l
 ocal Langlands in families” describes the GIT quotient of the moduli spa
 ce of Langlands parameters in terms of the centre of the category of repre
 sentations of the p-adic group generalising a theorem of Helm-Moss for GL(
 n).  I will explain how after inverting the "non-banal primes" we can prov
 e this conjecture for the local Langlands correspondence for classical gro
 ups of Arthur\, Mok\, and others.
LOCATION:MR13
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