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SUMMARY:On Nielsen type invariant for varieties over a finite field
DTSTART:20251212T140000Z
DTEND:20251212T153000Z
DTSTAMP:20260425T092300Z
UID:indico-event-15735@indico.math.cnrs.fr
CONTACT:gaiur@ihes.fr\;+33758543130
DESCRIPTION:Speakers: Maxim Kontsevich (IHES)\n\nFor a self-map of finite 
 CW complex X one has a homotopy invariant: for each positive integer n one
  gets a finite linear combination with integer coefficients of conjugacy c
 lasses of the fundamental group of the mapping cylinder of period n with r
 espect to the base circle. Algebraically\, this sequence can be described 
 in terms of a finite super-matrix with coefficients in the group ring of t
 he fundamental group\, by taking traces of powers of this matrix. \nFor v
 arieties over finite field one also gets such Nielsen type invariants\, by
  considering formal sums over points over finite extensions of correspondi
 ng Frobenius automorphisms.\nI propose a conjecture that these sequences o
 f sums are again described by matrices in group rings\, as in the topologi
 cal case.\n\nhttps://indico.math.cnrs.fr/event/15735/
LOCATION:Salle Olga Ladyjenskaïa (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/15735/
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