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SUMMARY:Spectral weight filtrations - Piotr Pstragowski (Harvard Universit
 y)
DTSTART:20230615T080000Z
DTEND:20230615T090000Z
UID:TALK199903@talks.cam.ac.uk
DESCRIPTION:The sky above the port was the color of television\, tuned to 
 a dead channel. In the labyrinths of the Chow-Novikov t-structure\, Bachma
 nn-Kong-Wang-Xu deciphered the enigmatic thread linking motivic homotopy t
 heory and the chromatic tableau\, utilizing the motifs of smooth\, proper 
 varieties as their cypher. We journey further into the cyberscape to find 
 out that the stable motivic category can be in fact programmed in terms of
  the subcategory of these very motifs. We watch the matrix shatter and ref
 orm\, revealing that the weight filtration on rational cohomology of algeb
 raic varieties\, first coded by Deligne using Hodge theory blueprints\, ca
 n be etched onto the cohomology with respect to any complex-orientable rin
 g spectrum. This dive was co-designed with Peter Haine in the Princeton de
 pths of the Sprawl.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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