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SUMMARY:Morava K-theory of infinite groups and Euler characteristic - Irak
 li Patchkoria (Aberdeen)
DTSTART:20221019T150000Z
DTEND:20221019T160000Z
UID:TALK179051@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Given an infinite discrete group G with a finite model for the
  classifying space for proper actions\, one can define the Euler character
 istic of G and the orbifold Euler characteristic of G. In this talk we wil
 l discuss higher chromatic analogs of these invariants in the sense of sta
 ble homotopy theory. We will study the Morava K-theory of G and associated
  Euler characteristic\, and give a character formula for the Lubin-Tate th
 eory of G. This will generalise the results of Hopkins-Kuhn-Ravenel from f
 inite to infinite groups and the K-theoretic results of Adem\, Lück and O
 liver from chromatic level one to higher chromatic levels. Along the way w
 e will give explicit computations for amalgamated products of finite group
 s\, right angled Coxeter groups and certain special linear groups. This is
  all joint with Wolfgang Lück and Stefan Schwede.
LOCATION:MR13
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