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SUMMARY:Sarah Whitehouse (University of Sheffield)
DTSTART:20210202T083000Z
DTEND:20210202T100000Z
DTSTAMP:20260417T095119Z
UID:OWHHS2021/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWHHS2021/3/
 ">Model category structures and spectral sequences</a>\nby Sarah Whitehous
 e (University of Sheffield) as part of Opening Workshop (IRP Higher Homoto
 py Structures 2021\, CRM-Bellaterra)\n\n\nAbstract\nModel categories give 
 an abstract setting for homotopy theory\, allowing study of different noti
 ons of equivalence. I'll give a very brief introduction and review some st
 andard examples\, such as the projective model structure on chain complexe
 s. Then I'll discuss various categories with associated functorial spectra
 l sequences. In such settings\, one can consider a hierarchy of notions of
  equivalence\, given by morphisms inducing an isomorphism at a fixed stage
  of the associated spectral sequence. I'll discuss model structures with t
 hese weak equivalences for filtered complexes\, for bicomplexes and for mu
 lticomplexes. This involves joint work with subsets of Joana Cirici\, Dani
 ela Egas Santander\, Xin Fu\, Ai Guan and Muriel Livernet.\n
LOCATION:https://researchseminars.org/talk/OWHHS2021/3/
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