Geometric Langlands Correspondence Near Opers

Abstract

We extend the categorical geometric Langlands correspondence from the locus of opers in the stack of de Rham local systems on a smooth projective algebraic curve to the formal neighborhood of opers (for any semi-simple complex algebraic group).

21 pages. To appear in the Proceedings of the Chennai Colloquium celebrating the work of C. S. Seshadri, on the occasion of his 80th birthday

References in corpus (1)

• Transformation de Fourier generalisee

Cited by in corpus (4)

• The Verlinde formula for Higgs bundles
• The equivariant Verlinde formula on the moduli of Higgs bundles
• The Poincare line bundle and autoduality of Hitchin fibers
• Branched SL(r,C)-opers