The Arinkin–Gaitsgory temperedness conjecture
نویسندگان
چکیده
Arinkin and Gaitsgory defined a category of tempered D $D$ -modules on Bun G $\operatorname{Bun}_G$ that is conjecturally equivalent to the quasi-coherent (not ind-coherent!) sheaves LocSys ̌ $\operatorname{LocSys}_{\check{G}}$ . However, their definition depends auxiliary data point curve; they conjectured independent this choice. Beraldo has outlined proof conjecture some technology not currently available. Here we provide short, unconditional Arinkin–Gaitsgory conjecture.
منابع مشابه
The Auslander-Reiten Conjecture for Group Rings
This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga...
متن کاملOn some generalisations of Brown's conjecture
Let $P$ be a complex polynomial of the form $P(z)=zdisplaystyleprod_{k=1}^{n-1}(z-z_{k})$,where $|z_k|ge 1,1le kle n-1$ then $ P^prime(z)ne 0$. If $|z|
متن کامل$L^p$-Conjecture on Hypergroups
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p<infty$, $K$ is a locally compact hypergroup and $w$ is a weight function on $K$. Among the other things, we also show that if $K$ is a locally compact hyper...
متن کاملThe Overfull Conjecture and the Conformability Conjecture
In this paper we show that under some fairly general conditions the Overfull Conjecture about the chromatic index of a graph G implies the Conformability Conjecture about the total chromatic number of G. We also show that if G has even order and high maximum degree, then G is conformable unless the de0ciency is very small. c © 2001 Elsevier Science B.V. All rights reserved.
متن کاملThe Hopf Conjecture and the Singer Conjecture
The conjecture is true in dimension 2 since the only surfaces which have positive Euler characteristic are S2 and RP2 and they are the only two which are not aspherical. In the special case where M2k is a nonpositively curved Riemannian manifold this conjecture is usually attributed to Hopf by topologists and either to Chern or to both Chern and Hopf by differential geometers. When I first hear...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2023
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12801