Lectures and Unpublished Articles

• Five lectures on TQFT, Barcelona 2012
• Gauge theory, Langlands duality and Mirror symmetry, Simons Center, Northeastern & Columbia, Feb-April 2012 video
• Luminy version of the above, with some comments on the space of states
• Langlands duality in Mirror symmetry, Perspectives in Geometry lecture series, UT Austin, 2011
• Group actions on categories and Langlands duality (Utrecht 2011) Lecture 1 Lecture 2 Lecture 3
• Invertible TQFTs and higher categories, Colloquium, Utrecht, May 2011
• Lie group actions on categories (KITP Santa Barbara, Langlands Duality mini-program, 2010)
• Gauged TQFTs in 2 dimensions (GQT conference, Nijmegen, 2010)
• Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group (MSRI, 2009)
• Lecture at the Fifth European Congress of Mathematics (Amsterdam, 7/2008)
• Kolchin Lecture (Columbia, 2008)
  
• British Topology Meeting (Sheffield, 9/2007)
  
• Adem Lectures (Mexico City, 9/2006)
  
• The Structure of 2D Semi-Simple Field Theories
  (Lecture at: Mathematical Structures in String Theory, KITP, Santa Barbara, 2005)
• Loop Groups and Moduli of G-bundles on curves
  (DRAFT notes based on Lecture in Seattle, July 2005)
• On Semi-simple TFTs and Gromov-Witten theory of BG:
  Gregynog 10/04, Goettingen 11/04, Miami 12/04
  
• Higher twistings of K-theory and moduli spaces
  (Lecture at: Geometry, Topology and Strings, KITP Santa Barbara, 2003)
• Twisted K-theory and the Verlinde algebra:
  Lisbon 06/03, Dirac family, Twisted K and Verlinde
• De Rham's theorem for stacks (with C. Simpson).
  Caution: §4 and §5 are unfinished and may forever remain so.