mathematics

WIP - proceed at your own risk

  • notes (html|pdf) on etingof's course on infinite dimensional lie algebras
  • notes (pdf) on etingof's course on algebraic D-modules
  • notes (pdf|github) on jacquet functors for the quantum local langlands conjectures.
  • calculations (pdf|github) in the homotopical algebra of kodaira-spencer gravity and the topological string
  • notes (pdf) on algebraic loop spaces and the chiral conformal field theories known as the affine W-algebras
  • An elementary construction (slides|notes) of an automorphic correction of an infinite-dimensional generalized Borcherds-Kac-Moody super lie algebra, along with its conjectural role in the enumerative geometry of compact Calabi-Yau threefolds.

Centro internazionale di fisica teorica Abdus Salam, Trieste, August 2016