Arithmetic invariants of discrete Langlands parameters
نویسندگان
چکیده
منابع مشابه
Arithmetic invariants of discrete Langlands parameters
Let G be a reductive algebraic group over the local field k. The local Langlands conjecture predicts that the irreducible complex representations π of the locally compact group G(k) can be parametrized by objects of an arithmetic nature: homomorphisms φ from the Weil-Deligne group of k to the complex L-group of G, together with an irreducible representation ρ of the component group of the centr...
متن کاملOn arithmetic class invariants
Let F be a number field with ring of integers OF , and let S be a finite set of places of F . Assume that S contains the set S∞ of archimedean places of F , and write Sf for the set of finite places contained in S. Let OS (or O, when there is no danger of confusion) denote the ring of Sf -integers of F . Write F for an algebraic closure of F . Let Y be any scheme over Spec(O). Suppose thatG is ...
متن کاملComputing Arithmetic Invariants of 3-Manifolds
This paper describes “Snap”, a computer program for computing arithmetic invariants of hyperbolic 3-manifolds. Snap is based on Jeff Weeks’s program “SnapPea” [41] and the number theory package “Pari” [5]. SnapPea computes the hyperbolic structure on a finite volume hyperbolic 3-manifold numerically (from its topology) and uses it to compute much geometric information about the manifold. Snap’s...
متن کاملArithmetic traces of non-holomorphic modular invariants
We extend results of Bringmann and Ono that relate certain generalized traces of Maass-Poincaré series to Fourier coefficients of modular forms of half-integral weight. By specializing to cases in which these traces are usual traces of algebraic numbers, we generalize results of Zagier describing arithmetic traces associated to modular forms. We define correspondences Zλ,N,m : M ] 2−2λ(Γ0(N))→M...
متن کاملRealizing arithmetic invariants of hyperbolic 3–manifolds
These are notes based on the course of lectures on arithmetic invariants of hyperbolic manifolds given at the workshop associated with the last of three “Volume Conferences,” held at Columbia University, LSU Baton Rouge, and Columbia University respectively in March 2006, May/June 2007, June 2009. The first part of the lecture series was expository, and since most of the material is readily ava...
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: Duke Mathematical Journal
سال: 2010
ISSN: 0012-7094
DOI: 10.1215/00127094-2010-043