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Quotients of Kontsevich's "Lie" Lie algebra

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 30, 2017 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Jim Conant (University of Tennessee)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Galois theory

  • Galois orbits

  • Periods

  • free Lie algebras

  • Lie algebras

  • univalent trees

  • operads

  • mapping class groups

  • automorphism groups

  • filtrations

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Conant
Abstract

We study two quotients of the Lie Lie algebra (the Lie algebra of symplectic derivations of the free Lie algebra), namely the abelianization and the the quotient by the Lie algebra generated by degree 1 elements. The abelianization has a very close connection to the homology of groups of automorphism groups of free groups, whereas the second is the so-called "Johnson cokernel," the cokernel of the Johnson homomorphism defined for mapping class groups of punctured surfaces
Supplements
28374?type=thumb Conant.Notes 8.87 MB application/pdf Download
Video/Audio Files

Conant

H.264 Video 12-Conant.mp4 569 MB video/mp4 rtsp://videos.msri.org/data/000/028/117/original/12-Conant.mp4 Download
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