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- W2563416002 abstract "We compare the context of Hodge structures with that of vertex algebras of conformal field theory. Vertex algebras appear as the highest weight representations of infinite dimensional Lie algebras. A correspondence between Higgs bundles and opers already is known as non-abelian Hodge theorem due to C. Simpson. The Beilinson-Bernstein localization (correspondence) also compares the context of variation of Hodge structure with that of highest weight modules over flag manifolds of semisimple Lie groups. A more general analogue of the Bernstein correspondence over a local manifold can also be formulted in the context of geometric Langlands correspondence. We discuss a generalized version of Harish-Chandra modules called Wakimoto modules and a generalized Harish-Chandra homomorphism. This text is mainly an expository discussion with a new insight toward the two concepts. We conclude with an explanation of geometric Langlands correspondence." @default.
- W2563416002 created "2017-01-06" @default.
- W2563416002 creator A5041761253 @default.
- W2563416002 date "2016-12-11" @default.
- W2563416002 modified "2023-09-27" @default.
- W2563416002 title "Vertex algebras and Hodge structures" @default.
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- W2563416002 hasPublicationYear "2016" @default.
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