Zobrazeno 1 - 10
of 314
pro vyhledávání: '"Nadler, David"'
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently, and by rather different considerations, we constructed a canonical no
Externí odkaz:
http://arxiv.org/abs/2406.16222
Autor:
Chen, Tsao-Hsien, Nadler, David
Let $G_\mathbb R$ be a connected real reductive group and let $X$ be the corresponding complex symmetric variety under the Cartan bijection. We construct a canonical equivalence between the relative Satake category of $G(\mathcal O)$-equivariant $\ma
Externí odkaz:
http://arxiv.org/abs/2403.13995
Refined forms of the local Langlands correspondence seek to relate representations of reductive groups over local fields with sheaves on stacks of Langlands parameters. But what kind of sheaves? Conjectures in the spirit of Kazhdan-Lusztig theory (du
Externí odkaz:
http://arxiv.org/abs/2302.00039
We calculate the dg algebra of global functions on commuting stacks of complex reductive groups using tools from Betti Geometric Langlands. In particular, we prove that the ring of invariant functions on the commuting scheme is reduced. Our main tech
Externí odkaz:
http://arxiv.org/abs/2301.02618
Autor:
Nadler, David, Shende, Vivek
The spectral side of the (conjectural) Betti geometric Langlands correspondence concerns sheaves on the character stack of an algebraic curve; in particular, the categories in question are manifestly invariant under deformations of the curve. By cont
Externí odkaz:
http://arxiv.org/abs/2301.01342
An exact complex symplectic manifold carries a sheaf of stable categories, locally equivalent to a microlocalization of a category of constructible sheaves. This sheaf of categories admits a t-structure, whose heart is locally equivalent to a microlo
Externí odkaz:
http://arxiv.org/abs/2209.12998
We establish a derived geometric Satake equivalence for the quaternionic general linear group GL_n(H). By applying the real-symmetric correspondence for affine Grassmannians, we obtain a derived geometric Satake equivalence for the symmetric variety
Externí odkaz:
http://arxiv.org/abs/2207.04078
Autor:
Nadler, David, Taylor, Jeremy
For a smooth projective curve $X$ and reductive group $G$, the Whittaker functional on nilpotent sheaves on $\text{Bun}_G(X)$ is expected to correspond to global sections of coherent sheaves on the spectral side of Betti geometric Langlands. We prove
Externí odkaz:
http://arxiv.org/abs/2206.09216
Autor:
Nadler, David, Yun, Zhiwei
We study automorphic categories of nilpotent sheaves under degenerations of smooth curves to nodal Deligne-Mumford curves. Our constructions realize affine Hecke operators as the result of bubbling projective lines from marked points. We use this to
Externí odkaz:
http://arxiv.org/abs/2105.12318
This is the first in a series of papers by the authors on the arborealization program. The main goal of the paper is the proof of uniqueness of arboreal models, defined as the closure of the class of smooth germs of Lagrangian submanifolds under the
Externí odkaz:
http://arxiv.org/abs/2101.04272