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SUMMARY:Calista Bernard (Stanford University)
DTSTART:20210308T103000Z
DTEND:20210308T113000Z
DTSTAMP:20260422T135903Z
UID:BilTop/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/14/">
 Twisted homology operations</a>\nby Calista Bernard (Stanford University) 
 as part of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract
 \nIn the 70s\, Fred Cohen and Peter May gave a description of the mod $p$ 
 homology of a free $E_n$-algebra in terms of certain homology operations\,
  known as Dyer--Lashof operations\, and the Browder bracket. These operati
 ons capture the failure of the $E_n$ multiplication to be strictly commuta
 tive\, and they prove useful for computations. After reviewing the main id
 eas from May and Cohen's work\, I will discuss a framework to generalize t
 hese operations to homology with certain twisted coefficient systems and g
 ive a complete classification of twisted operations for $E_{\\infty}$-alge
 bras. I will also explain computational results that show the existence of
  new operations for $E_2$-algebras.\n
LOCATION:https://researchseminars.org/talk/BilTop/14/
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