Geometric Langlands
Categorical and geometric reformulations of Langlands correspondences.
Geometric Langlands. Categorical and geometric reformulations of Langlands correspondences.
Foundations and canonical references
The standard treatments of geometric langlands approach the subject from complementary angles. Frenkel, Langlands Correspondence for Loop Groups (2007) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for geometric langlands include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2007Langlands Correspondence for Loop Groupsfrenkel-edward-2007
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