LANGLANDS DUALITY AND G2 SPECTRAL CURVES

N. Hitchin
2007 Quarterly Journal of Mathematics  
We first demonstrate how duality for the fibres of the so-called Hitchin fibration works for the Langlands dual groups Sp(2m) and SO(2m + 1). We then show that duality for G 2 is implemented by an involution on the base space which takes one fibre to its dual. A formula for the natural cubic form is given and shown to be invariant under the involution.
doi:10.1093/qmath/ham016 fatcat:lnpmyv3a4rfazgkvbglwgszuym