Results 1 to 10 of about 598 (37)
Local newforms for the general linear groups over a non-archimedean local field
Forum of Mathematics, Pi, 2022 In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by nonnegative integers and established the theory of local newforms for irreducible generic representations. In this paper, we
Hiraku Atobe +2 more
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Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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Forum of Mathematics, Sigma, 2023 Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
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Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020 Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
wiley +1 more source
ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma, 2020 Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently ...
FLORIAN HERZIG +2 more
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p‐adic L‐functions on metaplectic groups
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020 Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source
THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES
Forum of Mathematics, Sigma, 2016 We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
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COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Forum of Mathematics, Sigma, 2019 We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER +5 more
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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
Forum of Mathematics, Sigma, 2019 Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
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Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique [PDF]
, 2006 International ...
Heiermann, Volker
core +2 more sources