Hilbert modular group

Author: lspl

August undefined, 2024

WebSep 25, 2013 · On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field ℚ (ζ 9) + Published online by Cambridge University Press: 25 … In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables. It is a (complex) analytic function on the m-fold product of upper half-planes $${\displaystyle {\mathcal {H}}}$$ satisfying a certain kind of functional equation. See more These modular forms, for real quadratic fields, were first treated in the 1901 Göttingen University Habilitationssschrift of Otto Blumenthal. There he mentions that David Hilbert had considered them initially in work from 1893-4, … See more • Siegel modular form • Hilbert modular surface See more

HILBERT

Webfor the Hilbert modular group corresponding to a. Moreover, we write ΓF = Γ(OF ⊕ OF) = SL 2(OF). (1.6) Let Γ ⊂ SL 2(F) be a subgroup which is commensurable with ΓF, i.e., Γ∩ΓF has … WebTHE LARGE-SCALE GEOMETRY OF HILBERT MODULAR GROUPS 439 Corollary 3b. Let Γ be a finitely generated group which is quasi-isometric to SL2(Od), where d is a square-free … nsfaf scholarships 2023

THE CUSPS OF HILBERT MODULAR SURFACES AND CLASS …

WebDec 21, 2024 · We derive an explicit isomorphism between the Hilbert modular group and certain congruence subgroups on the one hand and particular subgroups of the special … WebMay 13, 2015 · The strategy is to use the K-theoretic Farrell-Jones conjecture to identify the Whitehead groups W h q (G; R) with the homology groups of certain classifying spaces with coefficients in the... WebHilbert modular forms, Siegel modular forms Heisenberg groups, Segal-Shale-Weil, theta correspondences, Siegel-Weil theorem representations of finite abelian groups [updated … nsfaf recovery contact details

AtsuhiraNagano arXiv:1603.09734v1 [math.AG] 26 Mar 2016

WebTHE LARGE-SCALE GEOMETRY OF HILBERT MODULAR GROUPS 437 Thus the geometry of Γ lies in the geometry of thispackingof horoballs. Two different nonuniform lattices acting onXlook very much alike since their associated packings and neutered spaces are qual- itatively the same. WebHilbert Modular Groups. This repository contains a python package hilbert_modgroup that implements algorithms for Hilbert modular groups, in particular a reduction algorithm. … night sweats on periodWebOutlineTorus embeddingsHilbert modular varieties and their boundary componentsToroidal compacti cation analytic theoryAlgebraic theory 1 Torus embeddings 2 Hilbert modular varieties and their boundary components 3 Toroidal compacti cation analytic theory 4 Algebraic theory Fritz H ormann Department of Mathematics and Statistics McGill University night sweats on chest only

"WebFeb 7, 2015 · What is the abelianization of the Hilbert modular group SL 2 ( O d)? If this is too hard, is at least the rank of the abelianization known? I'd also be interested in knowing this for finite-index subgroups of SL 2 ( O d). These groups are lattices in SL 2 … " - Hilbert modular group

Hilbert modular group

WebJan 31, 2010 · We introduce a new fundamental domain for a Hilbert modular group over a real quadratic field K=Q(sqrt n) of class number 1, by computing a Dirichlet domain for a cusp section with respect to the ... WebDec 21, 2024 · Title:The Hilbert Modular Group and Orthogonal Groups Authors:Adrian Hauffe-Waschbüsch, Aloys Krieg Download PDF Abstract:We derive an explicit isomorphism between the Hilbert modular group and certain congruence subgroups on the one hand and particular subgroups of the special orthogonal group $SO(2, 2)$ on the other hand. The …

Did you know?

WebApr 7, 2024 · Hilbert Modular Groups This repository contains a python package hilbert_modgroup that implements algorithms for Hilbert modular groups, in particular a … WebJul 8, 2024 · 2 The normalizer of the Hilbert modular group Throughout this paper let K = Q ( √ m ), m ∈ N , m > 1 squarefree, be a real-quadratic number ﬁeld with ring of integers and discriminant

WebArrangement Elliptic modular function for Γ(2) Hilbert modular functions for Q(√ 5) Table 1: The classical elliptic integrals and the result of this paper. The author conjectures that we can similarly obtain simple and geometric interpretations of other Hilbert modular functions also, using suitable weighted projective planes. WebOur company is the first to bring modular homes to Charlotte. When building system-built homes, we use the same high quality materials that are used to build a custom site home. …

WebApr 6, 2024 · In this paper we give a new proof of the result of Brunault and Neuruer as well as a substantial generalisation (to the case of Hilbert modular forms) using adelic and local representation-theoretic methods. Specifically we use local Whittaker functions and their invariance properties. WebNov 8, 2013 · MotivationThe Hilbert Modular GroupResolution of the CuspsSignatures Notation OF = ring of integers of F We deﬁne the Hilbert modular group G = SL2(OF)=f …

Webis called a Hilbert modular variety and the group SL2(O) is called a Hilbert modular group. 2.2. Congruence coverings of M. If I ⊂ O is an ideal, the natural projection O → O/I induces a group homomorphism SL2(O) −→πI SL 2(O/I). Let us denote by Γ(I) := ker(πI) the principal congruence subgroup of Γ associated to I.

WebModular Form; Fundamental Domain; Eisenstein Series; Cusp Form; Modular Function; These keywords were added by machine and not by the authors. This process is … nsfaf scholarships 2022WebJan 1, 2010 · Previous work has given some bounds on the fundamental domain of the Hilbert modular group in certain cases. In particular, the projection of the intersection of the fundamental domain with the manifold z ⋅ z ′ = 1 into the plane determined by the imaginary parts of z and z ′ is a region contained within a figure bounded by two lines and … nsfaf undergraduate online application 2022 night sweats only headIf R is the ring of integers of a real quadratic field, then the Hilbert modular group SL2(R) acts on the product H×H of two copies of the upper half plane H. There are several birationally equivalent surfaces related to this action, any of which may be called Hilbert modular surfaces: • The surface X is the quotient of H×H by SL2(R); it is not compact and usually has quotient singularities coming from points with non-trivial isotropy groups. nsfaf track applicationWebJul 8, 2024 · We derive an explicit isomorphism between the Hilbert modular group and certain congruence subgroups on the one hand and particular subgroups of the special … nsfa holiday clinicsWebHarvey Cohn published several articles in the 1960's analyzing geometric properties of fundamental domains for Hilbert modular surfaces. H. Cohn, "On the shape of the fundamental domain of the Hilbert modular group," Theory of Numbers, A. L. Whiteman (Ed.), Proc. Svmpos. Pure Math. Vol. 8, Amer. Math. Soc, Providence, R. I., 1965,pp. 190-202. nsfa hazard identification systemWebOct 31, 1976 · [10] Resnikoff H L 1974 On the graded ring of Hilbert modular forms associated with Q(√5) Math. Ann. 208 161-170. Crossref Google Scholar [11] Shvartsman O V 1974 Simple-connectedness of the factor space of the Hilbert modular group Funktsional. Anal. i Prilozhen. 8 (2) 99-100. Crossref Google Scholar nsf ai