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SUMMARY:Spectral sequences via presheaves - Sarah Whitehouse (University o
 f Sheffield)
DTSTART:20240603T143000Z
DTEND:20240603T153000Z
UID:TALK217216@talks.cam.ac.uk
DESCRIPTION:The talk will cover homotopy theory associated with the catego
 ry of spectral sequences. For each r\, maps which are quasi-isomorphisms o
 n the r page provide a class of weak equivalences. We introduce the catego
 ry of extended spectral sequences and show that this is bicomplete by anal
 ysis of a certain presheaf category modelled on discs. We endow the catego
 ry of extended spectral sequences with various model category structures. 
 One of these has the property that spectral sequences is a homotopically f
 ull subcategory and so\, by results of Meier\, this exhibits the category 
 of spectral sequences as a fibrant object in the Barwick-Kan&nbsp\; model 
 structure on relative categories. We also note how the presheaf approach p
 rovides some insight into the d&eacute\;calage functor on spectral&nbsp\; 
 sequences. This is joint work with Muriel Livernet.
LOCATION:External
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