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Proof of the Geometric Langlands Conjecture — Gaitsgory, Raskin et al.

2024 AD · Transmission: Global
MathematicsTheoryNorth AmericanEuropean

A team of nine mathematicians led by Dennis Gaitsgory and Sam Raskin published in 2024 a series of five preprints proving the Global Geometric Langlands Conjecture in its unramified version. The result closes one of the three great worlds of the Langlands Program — the geometric world — establishing a categorical equivalence between D-modules on the stack Bun_G and Ind-coherent singular coherent sheaves on the dual spectral stack. The preprints are currently under peer review.

InstitutionMPIM Bonn; University of Texas at Austin; and others
Historical regionInternational
Primary sourceArinkin et al. — 'Proof of the Geometric Langlands Conjecture I-V' (arXiv, 2024). IDs: 2405.03599, 2405.03648, 2409.07051, 2409.08670, 2409.09856
Secondary sourcepeople.mpim-bonn.mpg.de/gaitsgde/GLC/ — official project page
Original languageEnglish
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