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Wednesday, July 29, 2020 | History

1 edition of Drinfeld Moduli Schemes and Automorphic Forms found in the catalog.

Drinfeld Moduli Schemes and Automorphic Forms

The Theory of Elliptic Modules with Applications

by Yuval Z. Flicker

  • 381 Want to read
  • 40 Currently reading

Published by Springer New York, Imprint: Springer in New York, NY .
Written in English

    Subjects:
  • Homological Algebra Category Theory,
  • Topological groups,
  • Algebra,
  • Lie Groups Topological Groups,
  • Mathematics,
  • Number theory

  • Edition Notes

    Statementby Yuval Z. Flicker
    SeriesSpringerBriefs in Mathematics
    ContributionsSpringerLink (Online service)
    Classifications
    LC ClassificationsQA241-247.5
    The Physical Object
    Format[electronic resource] :
    PaginationV, 154 p. 5 illus.
    Number of Pages154
    ID Numbers
    Open LibraryOL27033222M
    ISBN 109781461458883

    Drinfeld moduli schemes and automorphic forms: The theory of elliptic modules with applications, +v pages; SpringerBriefs in Mathematics series (), ISBN (with D. Zinoviev) Computation of a twisted character of a small representation of GL(3, E); International Journal of Number Theory 8 (), In the early years of the s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon ical p-adic counterpart of several variables.

    Wallace explains basic color-mixing principles and provides more than color schemes. Skip to main content. Shop by category. Shop by category Kristal Wick, New Book. AU $ + AU $ shipping. Dowsing for Cures An A-Z Directory. AU $ + AU $ shipping. SYDNEY Transport Guides - MAP and DIRECTORY approx rare Good. The automorphic forms of equal characteristic that we introduce in §2 are, as it can be easily seen, the reduction modulo pof “automorphic forms” taking values in spaces of characteristic zero. These latter forms are not exactly automorphic forms in the sense of Drinfeld, because, they do not satisfy to conditions at ∞, but since.

      10 Geometrie Ramanujan Conjecture and Drinfeld Reciprocity Law* YUVAL Z. FLICKER AND DAVID A. KAZHDAN The purpose of this article is to describe and explain some of our recent work, which concerns, in particular, the following themes: The Ramanujan or purity conjecture for cuspidal automorphic forms with a super cuspidal component of GL(r) over a global field F of characteristic p . In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank 1, and its points are interpreted as Tate data.


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Drinfeld Moduli Schemes and Automorphic Forms by Yuval Z. Flicker Download PDF EPUB FB2

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author’s original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place.

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author’s original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single cturer: Springer.

Drinfeld Moduli Schemes and Automorphic Forms Yuval Z Flicker modular forms and Heegner points in the theory of global function book will be indispensable for everyone who wants a clear view of Drinfeld's original work, and wants to be informed about the present state of research in the theory of arithmetic geometry over function.

Drinfeld moduli schemes and automorphic forms. We develop Drinfeld's theory of elliptic modules and their moduli schemes to establish the correspondence of irreducible Galois representations Author: Yuval Flicker. Books. Yuval Flicker is the author of a number of books including: Arthur's Invariant Trace Formula and Comparison of Inner Forms () Drinfeld Moduli Schemes and Automorphic Forms () Automorphic Representations of Low Rank Groups () Automorphic Forms and Shimura Varieties of PGSp(2) ().

Introduction to Drinfeld Modules. Moduli Schemes of Drinfeld Drinfeld Moduli Schemes and Automorphic Forms book. Analytic Theory of Drinfeld Modules. A Guide to Explicit Class Field Theory in Global Function Fields. Drinfeld Modules Over Finite Fields. Some Rigid Geometry. The Structure of Ω and Its Quotients Λ/Ω.

Analytic Compactification and Modular Forms. Automorphic forms and automorphic representations By A. BOREL and H.

JACQUET On the notion of an automorphic representation. A supplement to the preceding paper By R. LANGLANDS Multiplicity one theorems By I.

PIATETSKI-SHAPIRO Forms of GL(2) from the analytic point of view By STEPHEN GELBART and HERVE JACQUET. 条目的评分是将豆瓣成员的评价数据加权平均计算后的结果,通过算法的调校,使得海量用户主观喜好的聚合能够更客观准确. Drinfeld Moduli Schemes and Automorphic Forms. Drinfeld Moduli Schemes and Automorphic Forms pp | Cite as. Covering Schemes. Authors; Authors and affiliations; Yuval Z.

Flicker; Chapter. First Online: 12 November Downloads; Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH) Abstract. The. Drinfeld moduli schemes and automorphic forms. The theory of elliptic modules with applications Book.

Jan ; Isogeny Classes. Chapter. Jan ; COMPUTATION OF. Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a.

Product Information. Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place.

Get this from a library. Drinfeld moduli schemes and automorphic forms: the theory of elliptic modules with applications. [Yuval Z Flicker] -- Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois.

DRINFELD MODULI SCHEMES AND AUTOMORPHIC FORMS 3 Introduction Let F be a geometric global eld, of characteristic p>0, A its ring of ad eles, G= GL(r) and ˇan irreducible admissible representation of G(A), namely a G(A)-module, over C.

Then ˇis the restricted direct product vˇ vover all places vof F of irreducible admissible G v= G(F v. The interplay between these viewpoints results in a rich theory of moduli schemes and modular forms. In the case of Drinfeld modules of rank two (for which the analogy with elliptic curves is most compelling), the moduli scheme is a curve, and modular forms are holomorphic functions on Drinfeld’s upper half-plane Ω with a prescribed.

Automorphic forms and automorphic representations By A. BOREL and H. JACQUET On the notion of an automorphic representation. A supplement to the preceding paper By R. LANGLANDS Multiplicity one theorems By I. PIATETSKI-SHAPIRO Forms of GL(2) from the analytic point of view By STEPHEN GELBART and HERVÉ JACQUET.

This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry: 1. An elementary construction of Shimura varieties as moduli of abelian schemes.

p-adic deformation theory of automorphic forms on Shimura varieties. Moduli space 7 3. Endomorphisms and Galois representations 10 Modular forms 21 Classical modular forms 21 Drinfeld modular forms 23 Drinfeld automorphic forms 26 Modularity of elliptic curves 30 References 32 Last modi ed on October 9, 1.

2 MIHRAN PAPIKIAN the additive group-scheme G a;C1) if we treat ˝as the. The book will certainly be useful to graduate students and researchers entering this beautiful and difficult area of research." (Andrzej Dabrowski, Zentralblatt MATH, Vol. ) "The purpose of this book is twofold: First to establish a p-adic deformation theory of automorphic forms on Shimura varieties; this is recent work of the author.

(with D. Kazhdan) Geometric Ramanujan conjecture and Drinfeld reciprocity law, in: Number Theory, Trace Formulas and Discrete Groups, Selberg Symposium, Oslo, JuneAcademic Press (), Drinfeld moduli schemes and automorphic forms ; mimeographed notes, Harvard ().

Review of Dan Flath's book: Introduction to Number Theory, by Fernando Q. Gouvêa Yuval Flicker. Drinfeld Moduli Schemes and Automorphic Forms, Yuval Flicker, SpringerBriefs in Mathematics, Automorphic representations of low rank groups, Yuval Flicker, World Scientific, Automorphic forms and shimura varieties of PGSp(2), Yuval Flicker.This article concerns the study of a new invariant bilinear form B on the space of automorphic forms of a split reductive group G over a function field.

We define B using the asymptotics maps from recent work of Bezrukavnikov, Kazhdan, Sakellaridis, and Venkatesh, which involve the geometry of the wonderful compactification of show that B is naturally related to miraculous duality in the.Discover Book Depository's huge selection of Yuval Z Flicker books online.

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