Relative Dolbeault Geometric Langlands via the Regular Quotient
Relative Dolbeault Geometric Langlands via the Regular Quotient
Let $X = G/H$ be an affine homogeneous spherical variety with abelian regular centralizer and no type N roots. In this paper, we formulate a relative geometric Langlands conjecture in the Dolbeault setting for $M = T^*X$. More concretely, we conjecture a Fourier-Mukai duality between the Dolbeault period sheaf and …