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In a few videos I've seen where he discusses the new approach to calculating the super Yang Mills scattering amplitudes, Nima Arkani-Hamed sometimes alludes to the use of Motivic methods as being relevant. (For example in the last few seconds of this presentation).

I would be interested if someone could give even a superficial hint of what motivic mathematics is and how it is applied in physical problems.

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The Wikipedia article has a bit of information, but not something I can make sense of... good question. –  David Z Jun 3 '12 at 19:13
    
@DavidZaslavsky yes, I couldn't understand that either. I found this reference with some physics examples included. However, it seems inescapable that there's a lot of unfamiliar mathematics to wade through to understand this. –  twistor59 Jun 4 '12 at 8:02

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