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VERSION:2.0
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SUMMARY:Lie algebras and coalgebras via the configuration pairing
DTSTART:20170619T101500
DTEND:20170619T113000
DTSTAMP:20260428T074219Z
UID:ef4bc9f092e97fc9444911ab968e1daade1371769feab86fdc0752bc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ben Walter (METU)\nI will outline recent advances generalizing
 \, simplifying\, and applying the configuration pairing of graphs and tree
 s originally developed to compute the homology of configuration spaces. Ea
 rlier work applies this framework to investigate knot invariants as well a
 s rational homotopy theory. I will present an new application directly to 
 Lie algebras and Lie coalgebras\, where this framework provides an interes
 ting tool for making computations and an alternate view of some basic\, cl
 assical Lie algebra constructions.\n\nIn the theory of finite type knot in
 variants\, we filter knots and their invariants into towers of Lie algebra
 s\; reducing the study of knots to the study of Lie algebras. This work is
  morally dual -- filtering Lie algebras to reduce them to towers of "simpl
 ified knots.
LOCATION:CM 012
STATUS:CONFIRMED
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