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SUMMARY:Tobias Dyckerhoff (Universität Hamburg)
DTSTART:20210204T083000Z
DTEND:20210204T100000Z
DTSTAMP:20260419T130439Z
UID:OWHHS2021/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWHHS2021/8/
 ">A categorified Dold–Kan correspondence</a>\nby Tobias Dyckerhoff (Univ
 ersität Hamburg) as part of Opening Workshop (IRP Higher Homotopy Structu
 res 2021\, CRM-Bellaterra)\n\n\nAbstract\nThe transition from Betti number
 s to homology groups was a decisive step turning the subject previously kn
 own as combinatorial topology into what is nowadays called algebraic topol
 ogy. Further\, the accompanying foundations of homological algebra are of 
 universal nature so that they can be applied in a wide range of other math
 ematical subjects where they have come to play an essential role. \n\nIn t
 his talk\, we discuss the idea of categorifying homological algebra one st
 ep further\, replacing complexes of abelian groups by complexes of enhance
 d triangulated categories\, illustrated by a concrete result: a categorifi
 cation of the classical Dold–Kan correspondence\n
LOCATION:https://researchseminars.org/talk/OWHHS2021/8/
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