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SUMMARY:Postnikov Systems for Higher Categories
DTSTART:20220510T101500
DTEND:20220510T111500
DTSTAMP:20260407T153823Z
UID:d5e2f68ce6ce885563d98d492a4c4e69489110dc353647e94030729d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Joost Nuiten\, Université Paul Sabatier\nThe Postnikov tower 
 is one of the earliest tools used to investigate the homotopy types of spa
 ces: it allows one to reconstruct a space from Eilenberg–Maclane spaces 
 and hence to study its homotopical properties in terms of cohomology. In t
 his talk\, I will describe a version of the Postnikov tower for (oo\, n)-c
 ategories\, inspired by ideas of Lurie. This will follow from a general an
 alysis of Postnikov-type systems in oo-categories\, including the ``k-inva
 riants'' that classify them. For example\, given a functorial choice of su
 ch a system for the objects of a monoidal category V\, one often obtains i
 nduced Postnikov systems for algebras in V and for V-enriched categories. 
 Based on joint work with Yonatan Harpaz and Matan Prasma.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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