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SUMMARY:Determinants\, Delooping and Reciprocity I
DTSTART:20130501T141500
DTEND:20130501T150000
DTSTAMP:20260407T041034Z
UID:890e26773a5302b3e111cb33915f010e92a848756588226378ea0636
CATEGORIES:Conferences - Seminars
DESCRIPTION:Oliver Braunling\, Universität Duisburg-Essen\nKapranov intro
 duced determinantal theories for Tate spaces in his investigations of 1-di
 mensional Abelian Langlands correspondences and higher class field theory.
   Given an idempotent complete exact category\, we construct a universal 
 determinantal theory and show that it realizes the K-theory of Tate spaces
  as a delooping of the K-theory of the exact category.  Time permitting\,
  we connect this to the Tame symbol of higher class field theory and we sk
 etch a new proof of Kato reciprocity using the determinant. This is joint 
 work in progress with Braunling\, Wolfson\, Groechenig.
LOCATION:CM09 http://plan.epfl.ch/?zoom=19&recenter_y=5864183.35306&recent
 er_x=730928.59101&layerNodes=fonds\,batiments\,labels\,events_surface\,eve
 nts_line\,events_label\,information\,parkings_publics\,arrets_metro\,evene
 m
STATUS:CONFIRMED
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