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May 21, 2017 at 17:54 comment added Nati Thanks! Do you know of a place where this is elaborated upon? (and is accessible to someone with background in Floer theory but really no knowledge about geometric Langlands...)
May 21, 2017 at 17:52 vote accept Nati
Mar 5, 2017 at 3:51 comment added David Ben-Zvi The Fukaya categories of compact group representation varieties are part of Donaldson theory ($\mathcal N=2$ super Yang-Mills) - the story I'm describing is "double" that ($\mathcal N=4$), so eg the A-side of geometric Langlands has to do with Fukaya categories of moduli of Higgs bundles, i.e. roughly the cotangents of the representation varieties you're discussing.
Mar 5, 2017 at 3:19 comment added Nati Thanks David. I have a (possibly stupid) question: is there a connection between the Fukaya category of the $SU(2)$-representation variety studied by Ivan and the picture you described?
Mar 3, 2017 at 18:45 history answered David Ben-Zvi CC BY-SA 3.0