Kavli Affiliate: Yukinobu Toda | Summary:In this paper, we prove a Dolbeault geometric Langlands equivalence for $GL_r$ and for the Langlands dual pair $SL_r/PGL_r$ over an open locus of the Hitchin base which strictly contains the elliptic locus. This open locus contains the points corresponding to spectral curves with at worst type $A$ singularities, without […]
Continue.. The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus