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SUMMARY:Klein four-slices of HF_2 - Carolyn Yarnall (University of Kentuck
 y)
DTSTART:20180817T090000Z
DTEND:20180817T100000Z
UID:TALK108838@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The slice filtration is a filtration of equivariant spectra an
 alogous to the Postnikov tower that was developed by Hill\, Hopkins\, and 
 Ravenel in their solution to the Kervaire invariant-one problem. Since tha
 t time there have been several new developments\, many dealing with cyclic
  groups. In this talk\, we will focus our attention on a noncyclic group! 
 After recalling a few essential definitions and previous results\, we will
  investigate some computational tools that allow us to leverage homotopy r
 esults of Holler-Kriz to determine the slices of integer suspensions of HF
 _2 when our group is the Klein four group. We will end with a few slice to
 wer and spectral sequence examples demonstrating the patterns that arise i
 n the filtration.  This is joint work with Bert Guillou.
LOCATION:Seminar Room 1\, Newton Institute
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