Chiral algebras

Mike's seminar

Fall 2007






Date: Thursdays 3pm - ``when we get tired.''
Room: Harvard math department, 507.


  • September 20
    Jacob Lurie
    Introduction
    Notes
  • September 27
    Jacob Lurie
    D-modules
    Notes
  • October 4
    Scott Carnahan
    Chiral algebras, factorization algebras, and chiral modules
  • October 11
    Jacob Lurie
    Lie-* algebras, chiral envelopes, and examples
    Notes
  • October 18
    John Duncan
    Chiral algebras versus vertex algebras
  • October 25
    Dennis Gaitsgory
    Chiral differential operators
  • November 1
    John Francis
    Chiral homology
  • November 8
    Jacob Lurie
    Chiral homology of commutative chiral algebras
  • November 15
    John Francis
    Chiral homology of chiral envelopes
  • November 22
    Cancelled:Holiday (Thanksgiving).
  • November 29
    Dennis Gaitsgory
    BRST cohomology
  • December 6
    Kobi Kremnizer
    Lattice chiral algebras
  • December 13
    Kobi Kremnizer
    Chiral homology of lattice chiral algebras

  • Chiral algebra references:

    The biblical reference is Beilinson & Drinfeld's book Chiral Algebras. A prepublication version available from the geometric Langlands page.
    Gaitsgory's Notes on 2D Conformal Field Theory and String Theory is about chiral algebras.
    For a treatment of chiral differential operators, see Arkhipov & Gaitsgory's Differential operators and the loop group via chiral algebras.
    Frenkel & Ben-Zvi's book also contains a discussion of chiral and factorization algebras: Vertex Algebras and Algebraic Curves.


    Questions? o'swhay ouryay addyday?. gaitsgde. l.