-ADIC -FUNCTIONS FOR UNITARY GROUPS (Q5112793)

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scientific article; zbMATH DE number 7209559

Language	Label	Description	Also known as
English	-ADIC -FUNCTIONS FOR UNITARY GROUPS	scientific article; zbMATH DE number 7209559

Statements

scholarly article

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-ADIC -FUNCTIONS FOR UNITARY GROUPS (English)

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Ellen E. Eischen

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Christopher M. Skinner

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Forum of Mathematics, Pi

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publication date

8 June 2020

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full work available at URL

https://arxiv.org/abs/1602.01776

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zbMATH Keywords

\(p\)-adic \(L\)-functions

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Hida families

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MaRDI profile type

MaRDI publication profile

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Coherent cohomology, limits of discrete series, and Galois conjugation

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\(p\)-adic \(q\)-expansion principles on unitary Shimura varieties

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Familles p-adiques de formes automorphes pour GLn

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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On p-adic L-functions attached to motives over ℚ II

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Differential operators and families of automorphic forms on unitary groups of arbitrary signature

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\(p\)-adic differential operators on automorphic forms on unitary groups

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A \(p\)-adic Eisenstein measure for vector-weight automorphic forms

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A \(p\)-adic Eisenstein measure for unitary groups

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Differential operators, pullbacks, and families of automorphic forms on unitary groups

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p-adic families of automorphic forms in the µ-ordinary setting

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Values of Archimedean Zeta Integrals for Unitary Groups

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Explicit constructions of automorphic \(L\)-functions

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Symmetry, Representations, and Invariants

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Functorial Properties of Toroidal Compactifications of Locally Symmetric Varieties

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Automorphic forms of \({\bar \partial}\)-cohomology type as coherent cohomology classes

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L-functions and periods of polarized regular motives.

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A Simple Proof of Rationality of Siegel-Weil Eisenstein Series

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Beilinson–Bernstein Localization Over and Periods of Automorphic Forms

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The Taylor–Wiles method for coherent cohomology

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Theta dichotomy for unitary groups

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\(p\)-adic \(L\)-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure

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A \(p\)-adic measure attached to the zeta functions associated with two elliptic modular forms. II

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On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields

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Automorphic induction and Leopoldt type conjectures for \(\text{GL}(n)\)

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CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE

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\(p\)-adic \(L\)-functions for CM fields

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Points on Some Shimura Varieties Over Finite Fields

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Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties

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Higher Koecher's principle

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Integral Models of Toroidal Compactifications with Projective Cone Decompositions

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Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci

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Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties

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Non-vanishing theorems for the cohomology of certain arithmetic quotients.

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Howe correspondences on a \(p\)-adic field

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Endoscopic Classification of representations of Quasi-Split Unitary Groups

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Serre–Tate theory for moduli spaces of PEL type

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Motives over totally real fields and \(p\)-adic \(L\)-functions

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Analytic continuation on Siegel varieties

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On the \(p\)-adic deformations of Saito-Kurokawa lifts

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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Families of nearly ordinary Eisenstein series on unitary groups. With an appendix by Kai-Wen Lan

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Ordinariness in good reductions of shimura varieties of PEL-type

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Identifiers

zbMATH Open document ID

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10.1017/fmp.2020.4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5112793

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