Borcherds lift shimura variety

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August undefined, 2024

WebCM cycles on a Shimura variety and their ‘Faltings’ height 12.30 Lunch and free afternoon 2. Thursday 9:00–10:00 Fran¸cois Brunault (ENS Lyon) ... Richard Borcherds constructed a lift from vector valued weakly holomorphic elliptic mod-ular forms of weight 1 − n/2 to meromorphic modular forms for the discriminant kernel Webto de ne elements in the arithmetic Chow group associated to the underlying Shimura variety. For special (Heegner) divisors in Hermitian spaces to the orthogonal group O(p;2), Kudla [23,24] constructed Green functions in terms of the logarithmic integral. Later Bruinier and the rst named author of this paper employed Borcherds’ singular theta ...

Introduction - Fachbereich Mathematik – TU Darmstadt

WebBefore purchasing your next lift or bender, consider the three important factors: Quality, Integrity and Service. We know we'll hear from you!. For more information about Worth contact us toll free at (800) 433-7016, local at (817) 473-7266 and fax at (817) 473-1599. WebApr 11, 2024 · Charles Borchers Elementary School, in conjunction with parents and the community, is committed to the development of the whole child in a nurturing … blackway net worth

CM values of automorphic Green functions on orthogonal …

WebIn his Inventiones papers in 1995 and 1998, Borcherds constructed holomorphic automorphic forms Ψ(f) with product expansions on bounded domains D associated to rational quadratic spaces V of signature (n2), starting from vector valued modular forms f of weight 1 − n2 for SL2(Z) which are allowed to have poles at the cusp and whose … WebBorcherds lift of [Br2] is reinterpreted as being applied to harmonic Hilbert Maass forms in our sense. Contents 1. Introduction 1 1.1. Related problems 2 ... ciple for coherent … WebOct 1, 2024 · For (p, q) = (2, 1), the orthogonal Shimura variety is again the modular curve, and one can obtain a generalization of the Shimura lift to include weakly holomorphic modular forms (see [8] and [15 ... blackway plot

$arXiv:1710.00628v2 [math.NT] 21 Feb 2024$

Shimura Lifts of Weakly Holomorphic Modular Forms

WebOct 16, 2024 · Borcherds products are explained as solutions of a multiplicative Cousin problem, namely of finding a meromorphic functions with divisor supported on the … blackway movie plot summaryWebTheta lift of Poincare series. We want to “theta lift” whmfs, and we saw it is su˝cient to ... The existence of Borcherds products plus cohomological interpretation implies that (Z;˝) = 1 4 @@log(Y2)[0] + 1 2 X ... sub-Shimura-variety corresponding to Sh U Sh?. If Uis positive or negative de˙nite, then we say the cycle is of de˙nite type. blackway parents review

"WebBorcherds’ singular theta lift (e.g. [3, 6]) and established a duality statement between these two lifts. Both of these lifts have played a signiﬁcant role in the study of certain cycles in locally symmetric spaces and Shimura varieties of orthogonal type. In this paper, we study the injectivity of the Kudla-Millson theta lift, and revisit " - Borcherds lift shimura variety

Borcherds lift shimura variety

Webthe CM values of regularized theta lifts of harmonic Whittaker forms. We compute the archimedian part of the height pairing of arithmetic special divisors and CM cycles on Shimura varieties associated to quadratic spaces over an arbitrary totally real base ﬁeld. As a special case, we obtain an explicit formula for the norms of the CM values ... Webbetween certain height pairings on Shimura varieties of orthogonal type and derivatives of automorphic L-functions. It is based on the Borcherds lift [Bo1] and its generalization in [Br], [BF]. We propose a conjecture for the Faltings height pairing of arithmetic special divisors and CM cycles.

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Webf is called a \Borcherds product". Unlike other lifts in the theory of modular forms, this lift is multiplicative, in the sense that f+g= f g: The weight of f is c(0)=2, where c(0) is the … WebDec 4, 2024 · Borcherds’ work systematically uses vector-valued modular forms, and employs the regularization technique in [ 11] to lift weakly holomorphic modular forms. …

WebOct 1, 2024 · We construct an arithmetic theta lift from harmonic Maass forms of weight 2-n to the first arithmetic Chow group of a toroidal compactification of the integral model of the unitary Shimura variety ... WebFinally, in Section 3.4 the singular theta-lift is used to de ne the multiplicative lifting: Borcherds products are explained as solutions of a multiplicative Cousin problem, namely of nding a meromorphic functions with divisor supported on the singularities of the singular theta-lift. We formulate a version of Borcherds’ theorem [4, Theorem

WebOct 1, 2024 · For (p, q) = (2, 1), the orthogonal Shimura variety is again the modular curve, and one can obtain a generalization of the Shimura lift to include weakly holomorphic … WebAUTOMORPHIC FORMS ON SHIMURA VARIETIES ZHIYUAN LI LECTURES SCRIBED BY TONY FENG CONTENTS 1. Overview 3 1.1. Theta lifting 3 1.2. Applications in …

WebNov 29, 2015 · Using the regularization of Borcherds' lift we extend the Shimura lift to take weakly holomorphic modular forms of half-integral weight to meromorphic modular forms of even integral weight having poles at CM points. Comments: 24 pages, exposition slightly modified after Equation (2), and a small typo corrected in the proof of the last …

WebBorcherds’ singular theta lift (e.g. [3, 6]) and established a duality statement between these two lifts. Both of these lifts have played a signi cant role in the study of certain cycles in locally symmetric spaces and Shimura varieties of orthogonal type. In this paper, we study the injectivity of the Kudla-Millson theta lift, and revisit blackway propertiesWebShimura varieties of the Shimura varieties associated to quadratic forms of signature (2;n). These sub-Shimura varieties are important algebraic cycles in the Chow ring and often have important applications. For example, Heegner cycles have an important role in the theory of Borcherds lifts fox news on unemployment rate in cubaWebWe are interested in studying cycles on Shimura varieties attached to orthogonal groups O(V), where V is a quadratic space over Q with form Qof signature (2;n). (More … blackway movie reviewWeb3. Locally symmetric varieties 286 4. Connected Shimura varieties 295 5. Shimura varieties 303 6. The Siegel modular variety 314 7. Shimura varieties of hodge type 320 8. PEL Shimura varieties 322 9. General Shimura varieties 329 10. Complex multiplication: the Shimura-Taniyama formula 332 11. Complex multiplication: the main theorem 340 12. blackway movie film locationWebBoth of these lifts have played a significant role in the study of certain cycles in locally symmetric spaces and Shimura varieties of orthogonal type. In this paper, we study the injectivity of the Kudla-Millson theta lift, and revisit part of the material of from the viewpoint of, to obtain surjectivity results for the Borcherds lift. blackway movie filming locationWebWe are available Monday-Friday, 8:00 am – 5:00 pm by phone with lunch closure from 1-2 pm. If you have a medical need during business hours, please call the office at (970) 927 … blackway movie parents guideWebthat the number of portable, floor-based lifts will be reduced with the introduction of fixed lift systems, such as ceiling-mounted systems. Table J-1 can be used to determine the number of floor-based lifts—both full-body sling lifts and sit-to-stand lifts—needed for each clinical area/unit. Floor-based sling lift recommendations. blackway rapper net worth