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SUMMARY:Configuration spaces and Lie algebras away from characteristic zer
 o - Ben Knudsen (Harvard University)
DTSTART:20181206T113000Z
DTEND:20181206T123000Z
UID:TALK115417@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:There is a close connection between the theory of Lie algebras
  and the study of additive invariants of configuration spaces of manifolds
 \, which has been exploited in many calculations of rational homology. We 
 begin the computational exploration of this connection away from character
 istic zero\, exhibiting a spectral sequence converging to the p-complete c
 omplex K-theory of configuration spaces---more generally\, to their comple
 ted Morava E-(co)homology---and we identify its second page in terms of an
  algebraic homology theory for Lie algebras equipped with certain power op
 erations. We construct a computationally accessible analogue of the classi
 cal Chevalley--Eilenberg complex for these Hecke Lie algebras\, and we use
  it to perform a number of computations. This talk is based on joint work 
 in progress with Lukas Brantner and Jeremy Hahn.
LOCATION:Seminar Room 1\, Newton Institute
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