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Parabolic Hecke Eigensheaves

出版	American Mathematical Society, 2022
主題	Mathematics / General
ISBN	28562996019782856299609
URL	http://books.google.com.hk/books?id=Bi2JzwEACAAJ&hl=&source=gbs_api

註釋We study the Geometric Langlands Conjecture (GLC) for rank two flat bundles on the projective line CC with tame ramification at five points \{p_{1}, p_{2}, p_{3}, p_{4}, p_{5} \}{p 1 ,p 2 ,p 3 ,p 4 ,p 5 }. In particular we construct the automorphic DD-modules predicted by GLC on the moduli space of rank two parabolic bundles on (C, \{p_{1}, p_{2}, p_{3}, p_{4}, p_{5} \})(C,{p 1 ,p 2 ,p 3 ,p 4 ,p 5 }). The construction uses non-abelian Hodge theory and a Fourier-Mukai transform along the fibers of the Hitchin fibration to reduce the problem to one in classical projective geometry on the intersection of two quadrics in \mathbb{P}^{4}P 4 .