BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Morava K-theory of infinite groups and Euler characteristic - Irak
 li Patchkoria (University of Aberdeen)
DTSTART:20230616T090000Z
DTEND:20230616T100000Z
UID:TALK199924@talks.cam.ac.uk
DESCRIPTION:Abstract: Given an infinite discrete group G with a finite mod
 el for the classifying space for proper actions\, one can define the Euler
  characteristic of G and the orbifold Euler characteristic of G. In this t
 alk we will discuss higher chromatic analogues of these invariants in the 
 sense of stable homotopy theory. We will study the Morava K-theory of G an
 d associated Euler characteristic\, and give a character formula for the L
 ubin-Tate theory of G. This will generalise the results of Hopkins-Kuhn-Ra
 venel from finite to infinite groups and the K-theoretic results of Adem\,
  L&uuml\;ck and Oliver from chromatic level one to higher chromatic levels
 . At the end we will mention explicit computations for some arithmetic gro
 ups and also discuss connections with special values of zeta functions.&nb
 sp\;This talk is mostly based on a joint work with L&uuml\;ck and Schwede.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR