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SUMMARY:Decomposing C2-Equivariant Spectra
DTSTART:20201215T180000
DTEND:20201215T190000
DTSTAMP:20260407T003032Z
UID:35b747fcb02f74df9e2f0dbdca7f6f6c08f04c8187d5e7ae0d13b674
CATEGORIES:Conferences - Seminars
DESCRIPTION:Clover May\, University of California\, Los Angeles\nComputat
 ions in RO(G)-graded Bredon cohomology can be challenging and are not well
  understood\, even for G=C_2\, the cyclic group of order two.  A recent s
 tructure theorem for RO(C_2)-graded cohomology with Z/2 coefficients subst
 antially simplifies computations.  The structure theorem says the cohomol
 ogy of any finite C2-CW complex decomposes as a direct sum of two basic pi
 eces: cohomologies of representation spheres and cohomologies of spheres w
 ith the antipodal action.  This decomposition lifts to a splitting at the
  spectrum level.  In joint work with Dan Dugger and Christy Hazel we exte
 nd this result to a classification of compact modules over the genuine equ
 ivariant Eilenberg-MacLane spectrum HZ/2.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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