Geometrization of the local Langlands correspondence
L Fargues, P Scholze - arXiv preprint arXiv:2102.13459, 2021 - arxiv.org
Following the idea of [Far16], we develop the foundations of the geometric Langlands
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
Quantum 𝑞-Langlands correspondence
M Aganagic, E Frenkel, A Okounkov - Transactions of the Moscow …, 2018 - ams.org
We conjecture, and prove for all simply-laced Lie algebras, an identification between the
spaces of $ q $-deformed conformal blocks for the deformed ${\mathcal W} $-algebra …
spaces of $ q $-deformed conformal blocks for the deformed ${\mathcal W} $-algebra …
Coherent sheaves on the stack of Langlands parameters
X Zhu - arXiv preprint arXiv:2008.02998, 2020 - arxiv.org
We formulate a few conjectures on some hypothetical coherent sheaves on the stacks of
arithmetic local Langlands parameters, including their roles played in the local-global …
arithmetic local Langlands parameters, including their roles played in the local-global …
Integrating quantum groups over surfaces
We apply the mechanism of factorization homology to construct and compute category‐
valued two‐dimensional topological field theories associated to braided tensor categories …
valued two‐dimensional topological field theories associated to braided tensor categories …
On some finiteness questions for algebraic stacks
V Drinfeld, D Gaitsgory - Geometric and Functional Analysis, 2013 - Springer
We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-
compact algebraic stack is compactly generated. We also show that under the same …
compact algebraic stack is compactly generated. We also show that under the same …
On two geometric realizations of an affine Hecke algebra
R Bezrukavnikov - Publications mathématiques de l'IHÉS, 2016 - numdam.org
The article is a contribution to the local theory of geometric Langlands duality. The main
result is a categorification of the isomorphism between the (extended) affine Hecke algebra …
result is a categorification of the isomorphism between the (extended) affine Hecke algebra …
The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
D Arinkin, D Gaitsgory, D Kazhdan, S Raskin… - arXiv preprint arXiv …, 2020 - arxiv.org
We define a new geometric object--the stack of local systems with restricted variation. We
formulate a version of the categorical geometric Langlands conjecture that makes sense for …
formulate a version of the categorical geometric Langlands conjecture that makes sense for …
[HTML][HTML] Secondary products in supersymmetric field theory
The product of local operators in a topological quantum field theory in dimension greater
than one is commutative, as is more generally the product of extended operators of …
than one is commutative, as is more generally the product of extended operators of …
Ind-coherent sheaves
D Gaitsgory - arXiv preprint arXiv:1105.4857, 2011 - arxiv.org
We develop the theory of ind-coherent sheaves on schemes and stacks. The category of ind-
coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent …
coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent …
Sheaves of categories and the notion of 1-affineness
D Gaitsgory - Stacks and categories in geometry, topology, and …, 2015 - books.google.com
Sheaves of categories and the notion of 1-affineness Page 136 Contemporary Mathematics
Volume 643 , 2015 http://dx. doi. org/10.1090/conm/643/12899 Sheaves of categories and the …
Volume 643 , 2015 http://dx. doi. org/10.1090/conm/643/12899 Sheaves of categories and the …