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SUMMARY:Till Heine (Hamburg)
DTSTART:20230418T203000Z
DTEND:20230418T220000Z
DTSTAMP:20260422T174122Z
UID:tandg/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/6/">Th
 e Dwyer Kan-correspondence and its categorification</a>\nby Till Heine (Ha
 mburg) as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbst
 ract\nExtensions of the Dold-Kan correspondence for the duplicial and (par
 a)cyclic index categories were introduced by Dwyer and Kan.\nBuilding on t
 he categorification of the Dold-Kan correspondence by Dyckerhoff\, we cate
 gorify the duplicial case by establishing an equivalence between the $\\in
 fty$-category of $2$-duplicial stable $\\infty$-categories and the $\\inft
 y$-category of connective chain complexes of stable $\\infty$-categories w
 ith right adjoints.       \nI will further explain the current progress to
 wards a conjectured correspondence between $2$-paracyclic stable $\\infty$
 -categories and connective spherical complexes.\nExamples of the latter na
 turally arise from the study of perverse schobers.                  \n<a h
 ref="https://arxiv.org/abs/2303.03653">arXiv:2303.03653</a>.\n
LOCATION:https://researchseminars.org/talk/tandg/6/
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