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SUMMARY:Jim Stasheff (University of Pennsylvania)
DTSTART;VALUE=DATE-TIME:20211216T161500Z
DTEND;VALUE=DATE-TIME:20211216T171500Z
DTSTAMP;VALUE=DATE-TIME:20240224T060102Z
UID:globalpoisson/67
DESCRIPTION:Title: Higher holonomy and representations up to homotopy\nby Jim Stas
heff (University of Pennsylvania) as part of Global Poisson webinar\n\n\nA
bstract\n"Given a connection for a smooth vector bundle $p:E\\to M$\, pa
rallel transport with respect to smooth paths in the base space $M$ provid
es a correspondence between smooth vector bundles with flat connection
on $M$ and representations of $\\pi_1(M)$ . Based in part on earlier grou
ndbreaking work of K.T. Chen\, recently this correspondence has been enhan
ced to the level of smooth paths (not homotopy classes) in the base space
$M$ and differential graded vector bundles with generalized flat connect
ions.\n\nClassical parallel transport with respect to smooth paths in the
base space $M$ and the correspondence with representations of $\\pi_1(M)$
will be recalled briefly\, but no familiarity with differential graded vec
tor bundles with generalized flat connections will be assumed."\n
LOCATION:https://researchseminars.org/talk/globalpoisson/67/
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