Zobrazeno 1 - 10
of 241
pro vyhledávání: '"Kazhdan, D."'
We prove that the trace of the Frobenius endofunctor of the category of automorphic sheaves with nilpotent singular support maps isomorphically to the space of unramified automorphic functions, settling a conjecture from [AGKRRV1]. More generally, we
Externí odkaz:
http://arxiv.org/abs/2102.07906
We identify the category Shv_{Nilp}(Bun_G) of automorphic sheaves with nilpotent singular support with its own dual, and relate this structure to the Serre functor on Shv_{Nilp}(Bun_G) and miraculous duality.
Externí odkaz:
http://arxiv.org/abs/2012.07665
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 any constructible sheaf theory (such as l-adic sheaves). We formulat
Externí odkaz:
http://arxiv.org/abs/2010.01906
The goal of this paper is to provide a categorical framework that leads to the definition of shtukas \`a la Drinfeld and of excursion operators \`a la V. Lafforgue. We take as the point of departure the Hecke action of Rep(G^L) on the category Shv(Bu
Externí odkaz:
http://arxiv.org/abs/1908.05420
Publikováno v:
In Indagationes Mathematicae January 2022 33(1):39-189
Autor:
Gaitsgory, D., Kazhdan, D.
We introduce a categorical framework for the study of representations of $G_F$, where $G$ is a reductive group, and $\bF$ is a 2-dimensional local field, i.e. $F=K((t))$, where $K$ is a local field. Our main result says that the space of functions on
Externí odkaz:
http://arxiv.org/abs/math/0302174
Publikováno v:
Commun.Math.Phys.226:1-40,2002
Theta series for exceptional groups have been suggested as a possible description of the eleven-dimensional quantum supermembrane. We present explicit formulae for these automorphic forms whenever the underlying Lie group $G$ is split (or complex) an
Externí odkaz:
http://arxiv.org/abs/hep-th/0107222
We prove the equivalence of two conjectural constructions of unramified cuspidal automorphic functions on the adelic group GL_n(A) associated to an irreducible l-adic local system of rank n on an algebraic curve X over a finite field. The existence o
Externí odkaz:
http://arxiv.org/abs/alg-geom/9703022
Autor:
Kazhdan, D., Soibelman, Y.
In this paper we define a quantum version of the ``fusion'' tensor product of two representations of an affine Kac-Moody algebra.It is replaced by what we call fusion action of the category of finite-dimensional representations of quantum affine alge
Externí odkaz:
http://arxiv.org/abs/q-alg/9503022
Publikováno v:
Journal of the American Mathematical Society, 1998 Apr 01. 11(2), 451-484.
Externí odkaz:
https://www.jstor.org/stable/2646156