A talk given by Mike Hopkins, of Harvard University, at Atiyah80: Geometry and Physics (in honor of Sir Michael Atiyah’s 80th birthday), held at the Royal Society of Edinburgh in April of 2009.

The conference website, which includes the videos as well as numerous other interesting features, can be found here:

http://www.maths.ed.ac.uk/~aar/atiyah80.htm

The slides for this talk can be found at the following address:

http://www.maths.ed.ac.uk/~aar/hopkins.pdf

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