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SUMMARY:Pavel Safranov (University of Edinburgh)
DTSTART:20250519T103000Z
DTEND:20250519T113000Z
DTSTAMP:20260422T135419Z
UID:BilTop/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/113/"
 >Simple homotopy invariance of the loop coproduct</a>\nby Pavel Safranov (
 University of Edinburgh) as part of Bilkent Topology Seminar\n\nLecture he
 ld in SA 141.\n\nAbstract\nString topology provides algebraic operations o
 n the homology of a free loop space of a manifold introduced by Chas and S
 ullivan. While the loop product was known to be homotopy-invariant for a l
 ong time\, Sullivan conjectured that the loop coproduct is not homotopy-in
 variant. I will explain a recent proof due to Naef and myself (with relate
 d work by Kenigsberg and Porcelli) that the failure of the loop coproduct 
 to be homotopy-invariant is given by the trace of the Whitehead torsion fr
 om simple homotopy theory.\n
LOCATION:https://researchseminars.org/talk/BilTop/113/
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