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SUMMARY:Higher differentials in the cohomology spectral sequence for long 
 knots [MPIM]
DTSTART:20250526T120000Z
DTEND:20250526T130000Z
DTSTAMP:20260420T162400Z
UID:indico-event-442@math-events.uni-bonn.de
DESCRIPTION:Speakers: Paolo Salvatore (Universita di Roma Tor Vergata/MPIM
 )\n\nMPIM Topology Seminar\nThere are two cohomology spectral sequences co
 mputing invariants of families of long knots in R^3\, due respectively to 
 Goodwillie-Sinha and Vassiliev\, that conjecturally agree. Rationally it i
 s known that they both collapse at the second page. Vassiliev conjectured 
 that this is the case over all coefficients. In order to perform explicit 
 computations we define a small multicomplex based on the Fox Neuwirth deco
 mposition of configuration spaces\, that produces higher differentials in 
 the Goodwillie-Sinha spectral sequence. Surprisingly this yields a nontriv
 ial third page differential at the prime 2. This is joint work with A. Mar
 ino.\n\nhttps://math-events.uni-bonn.de/event/442/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/442/
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