Integral models of shimura varieties

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August undefined, 2024

Nettet29. mar. 2024 · Kudla's modularity conjecture on integral models of orthogonal Shimura varieties. Benjamin J. Howard, Keerthi Madapusi; Mathematics. 2024; We construct a family of special cycle classes on the integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a Siegel modular … NettetAccess full book title Hodge Cycles, Motives, and Shimura Varieties by Pierre Deligne. Download full books in PDF and EPUB format. By : Pierre Deligne; 1982; Mathematics; Hodge Cycles, Motives, and Shimura Varieties. Author: Pierre Deligne Publisher: Springer Science & Business Media ISBN: 3540111743 Category : Mathematics

Arithmetic volumes of unitary Shimura varieties - ResearchGate

NettetOne application of such models is to Langlands’ program [46] to compute the Hasse-Weil zeta function of a Shimura variety in terms of automorphic L-functions. The zeta function has a local factor at pwhich is determined by the mod ppoints of the integral model, as well as its local structure - speciﬁcally the sheaf of nearby cycles. The ... Nettet29. mar. 2024 · We show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is parahoric by formulating a … mario brothers painting maryland

Regular integral models for Shimura varieties of orthogonal type

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[0707.3173] Points on Shimura varieties over finite fields: the ...

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NettetIn fact, Kottwitz proves only the integral formula (1) (see p442 of his paper) and only for simple Shimura varieties of PEL types A and C, while Langlands and Rapoport (1987) prove their conjecture only for simple Shimura varieties of PEL types A and C, and only assuming the Hodge conjecture, the Tate conjecture, and the standard conjectures. 6 6 … Nettetand subschemes of the integral models of PEL-type or Hodge-type Shimura varieties we consider, and of their partial toroidal and minimal compactiﬁcations. In Section2.1, we … nature\u0027s reprisal wowNettet7. des. 2015 · We construct regular integral canonical models for Shimura varieties attached to Spin and orthogonal groups at (possibly ramified) primes $p>2$ where the … mario brothers on youtube for free

"NettetLet E𝐸Eitalic_E be a quadratic imaginary extension of ℚℚ\mathbb{Q}blackboard_Q, 𝐆=𝐆𝐔(p,q)𝐆𝐆𝐔𝑝𝑞{\bf G}={\bf GU}(p,q)bold_G = bold_GU ( italic_p , ita " - Integral models of shimura varieties

Integral models of shimura varieties

INTEGRAL MODELS FOR SHIMURA VARIETIES OF ABELIAN TYPE …

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Nettet14. des. 2012 · We study the singularities of local models and hence also of the corresponding integral models of Shimura varieties. In particular, we study the monodromy (inertia) action and show a commutativity property for the sheaves of … Nettet1. des. 2003 · Abstract: Local models are schemes defined in linear algebra terms that describe the étale local structure of integral models for Shimura varieties and other moduli spaces. We point out that the flatness conjecture of Rapoport-Zink on local models fails in the presence of ramification and that in that case one has to modify their definition.

Nettet24. mai 2024 · The integral model of a GU(n−1,1) Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We... Nettetand related unitary Shimura varieties to be studied. In §3, we summarize the results of Reimann on integral models of quaternionic Shimura varieties ShD;C and the unitary Shimura varieties Sh G;C and their reduction modulo p. We also treat the simple unitary case Sh G0;C0. In §4, we de ne some test functions at p following the method of ...

NettetIntegral canonical models of unitary Shimura varieties Adrian Vasiu accepted (in ﬁnal form) for publication in Asian J. Math. ABSTRACT. We prove the existence of integral … Nettet23. mar. 2010 · At present, this seems the only available tool for constructing “good” integral models. Thus, if we restrict our attention to Shimura varieties of pre-abelian type, the construction of integral canonical models (defined in §3) divides itself into two parts: Formal aspects.

Nettetwith K𝐾Kitalic_K running over the compact open subgroups of G(𝔸f)𝐺subscript𝔸𝑓G(\mathbb{A}_{f})italic_G ( blackboard_A start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT

NettetAccess full book title Hodge Cycles, Motives, and Shimura Varieties by Pierre Deligne. Download full books in PDF and EPUB format. By : Pierre Deligne; 1982; Mathematics; … mario brothers pajama pantsNettet15. jun. 2024 · We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular p -adic integral models for these varieties over odd primes p at which the level subgroup is the connected stabilizer of a vertex lattice in the orthogonal space. mario brothers original gameNettet朱歆文（1982年－），四川人，加州理工学院数学系教授。他的工作主要是研究几何表示论特别是朗兰兹纲领，旨在将数论和量子物理学联系在一起。朱歆文的研究发表在数学年刊、Inventiones mathematicae等杂志上。他的重要合作者包括张伟、袁新意和恽之玮。 mario brothers opinion memeNettetINTEGRAL MODELS OF SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE M. KISIN AND G. PAPPAS Abstract. For a prime p > 2, we construct … mario brothers painting llc germantownNettet29. mar. 2024 · We show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is tame parahoric by formulating a … nature\\u0027s remedy tyngsboroughNettetpart is about describing the mod ppoints of suitable integral models of Shimura varieties, which is the central topic of this article. A conjectural description of the mod ppoints of (conjectural) integral models of Shimura varieties was ﬁrst given by Langlands in [36] and was later reﬁned by Langlands-Rapoport and Rapoport … nature\u0027s reserve meatNettetIntegral canonical models for G-bundles on Shimura varieties of abelian type T. Lovering Mathematics 2024 This thesis builds on Kisin’s theories of S-modules and integral models for Shimura varieties of abelian type to further our understanding of the arithmetic of Shimura varieties in several… Expand Highly Influenced nature\u0027s reserve grass fed beef