Dennis Gaitsgory is a mathematician at MPIM Bonn. His research is in representation theory and algebraic geometry, especially D-modules, chiral algebras and geometric Langlands.
On the geometric Langlands conjecture (categorical geometric Langlands conjecture):
D. Gaitsgory, N. Rozenblyum, A study in derived algebraic geometry.
Informal notes on the Fargues-Fontaine curve with Jacob Lurie.
On the quantum geometric Langlands correspondence:
On proof of the (categorical) geometric Langlands conjecture:
Dennis Gaitsgory: Proof of the geometric Langlands conjecture (2025) [webpage]
Dennis Gaitsgory, Sam Raskin: Proof of the geometric Langlands conjecture I: construction of the functor [arXiv:2405.03599, pdf]
Dima Arinkin, D. Beraldo, Justin Campbell, L. Chen, Dennis Gaitsgory, J. Faergeman, Kevin Lin, Sam Raskin, Nick Rozenblyum: Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE [arXiv:2405.03648, pdf]
Justin Campbell, Lin Chen, Joakim Faergeman, Dennis Gaitsgory, Kevin Lin, Sam Raskin, Nick Rozenblyum: Proof of the geometric Langlands conjecture III: compatibility with parabolic induction [arXiv:2409.07051, pdf]
Dima Arinkin, D. Beraldo, L. Chen, J. Faergeman, Dennis Gaitsgory, Kevin Lin, Sam Raskin, Nick Rozenblyum: Proof of the geometric Langlands conjecture IV: ambidexterity [arXiv:2409.08670, pdf]
Dennis Gaitsgory, Sam Raskin: Proof of the geometric Langlands conjecture V: the multiplicity one theorem [arXiv:2409.09856, pdf]
Review:
Last revised on February 21, 2026 at 09:03:14. See the history of this page for a list of all contributions to it.