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The eigencurve is proper

WebThe eigencurve is a rigid analytic curve over Q_p parametrizing all finite slope overconvergent modular eigencurve. It is a conjecture of Coleman-Mazur that the … WebThe 2-adic Eigencurve is Proper. Kevin Buzzard∗ Frank Calegari† July 5, 2005 1 Introduction In [7], Coleman and Mazur construct a rigid analytic space E that parameterizes overcon …

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WebAbstract. We axiomatise and generalise the “Hecke algebra” construction of the Coleman-Mazur Eigencurve. In particular we extend the construction to general primes and levels. Furthermore we show how to use these ideas to construct “eigenvarieties” parametrising automorphic forms on totally definite quaternion algebras over totally real ... WebColeman and Mazur constructed a rigid analytic curve Cp,N, called the eigencurve, whose points correspond to all finite slope overconvergent p-adic eigenforms. We prove the … property for sale in old dalby leicestershire https://anywhoagency.com

[1401.4871] The Eigencurve is Proper - arXiv.org

WebAug 12, 2024 · While the very classical points appear on the eigencurve, in a sense, by construction, it is not clear a priori that there are any classical points on the eigencurve … WebJan 1, 2006 · The 2-adic eigencurve is proper Authors: Kevin Buzzard Frank Calegari 20+ million members 135+ million publication pages 2.3+ billion citations No full-text available … Webthis work was the construction of the rigid space known as the eigencurve ([9]). The existence of the eigencurve shows that the p-adic variation of certain residu-ally modular Galois representations can be interpreted automorphically. This has opened the door to a whole new field of study - a type of “p-adic” Langlands pro-gramme. property for sale in old shaw lane swindon

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Category:Congruences between modular forms and the eigencurve construction

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The eigencurve is proper

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WebThe Eigencurve is Proper A dissertation presented by Hansheng Diao to The Department of Mathematics in partial ful llment of the requirements for the degree of Doctor of … Webeigencurve is indeed proper. Their proof is completely di erent from the method of Buzzard-Calegari and Calegari. It proceeds by analyzing families of Galois representations over the …

The eigencurve is proper

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WebMar 15, 2008 · In this sense, the properness of the eigencurve is proved in the case of p = 2, N = 1 in [BuCa05] and is proved at the integral weights (for any N) in [Cal08]. We want to point out that the map π ... Webthe eigencurve is proper and studymg the nonvamshmg of /Þadic zeta functions at arithmetic arguments. These ideas are detailed in §3. 2 Automorphic Forms of Cohomological Type Automorphic forms come m a variety of flavors. A restrictive class of such representations

WebIn number theory, an eigencurve is a rigid analytic curve that parametrizes certain p-adic families of modular forms, and an eigenvariety is a higher-dimensional generalization of … WebWe prove in this article that, for any prime p and tame level N, the projection from the eigencurve to the weight space satisfies a rigid analytic version of the valuative criterion …

WebWe have to point out that although this property is named “properness of the eigencurve”, the projection πis actually not proper in the sense of rigid analytic geometry because it is of infinite degree. In the rest of the introduction we will sketch the steps to prove Theorem 1.1 and the structure of the paper. WebThe eigencurve is proper Hansheng Diao (Harvard) Monday, Apr 7 at 4:15 pm 111 Cummington Street, MCS B21 Tea and cookies in MCS 144 at 4:00 pm Abstract: We prove …

http://math.bu.edu/research/algebra/Spring2014/Diao-S2014.pdf

WebThe question whether the Eigencurve has any "holes" is answered in the negative for the 2-adic EigenCurve of tame level one. Coleman and Mazur ask whether the Eigencurve has any "holes". ... {The 2-adic Eigencurve is Proper}, author={Kevin Buzzard and Frank Calegari}, journal={Documenta Mathematica}, year={2005}, pages={211-232} } Kevin Buzzard ... property for sale in old isleworthproperty for sale in old istanbulWebThe Eigencurve is Proper. Doctoral dissertation, Harvard University. Abstract Coleman and Mazur constructed a rigid analytic curve Cp,N, called the eigencurve, whose points correspond to all finite slope overconvergent p-adic eigenforms. We prove the conjecture that the eigencurve Cp,N is proper over the weight space for any prime p and tame ... property for sale in olhao portugalWebMay 15, 2016 · We prove in this article that, for any prime p and tame level N, the projection from the eigencurve to the weight space satisfies a rigid analytic version of the valuative … property for sale in old town marbella spainWebproperness of the eigencurve is a global manifestation of a purely local theorem; such an idea was suggested to the author — at least at integral weights — by Mark Kisin. However, … lady killed on cruiseWebmathematical sciences publishers i l i li t t r s s s s c c c a e a i al ie e li e h n pub h t ti l i li r m m s s s s c c c a e a i al ie e li e i l i li t t r s s s ... lady killer comicsWebWe prove that the Coleman–Mazur eigencurve is proper (over weight space) at integral weights in the center of weight space. 1. Introduction The eigencurveEis a rigid analytic … lady kills husband with lamb