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$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
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On automorphic points in polarized deformation rings [PDF]
For a fixed mod $p$ automorphic Galois representation, $p$-adic automorphic Galois representations lifting it determine points in universal deformation space.
Allen, P.
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It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
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Modular inflation observables and j-inflation phenomenology
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ℛ and the ...
Rolf Schimmrigk
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A p-adic Eisenstein measure for vector-weight automorphic forms [PDF]
We construct a p-adic Eisenstein measure with values in the space of vector-weight p-adic automorphic forms on certain unitary groups. This measure allows us to p-adically interpolate special values of certain vector-weight C-infinity automorphic forms ...
Eischen, Ellen
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An Integral Representation of Standard Automorphic L Functions for Unitary Groups
Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp ...
Yujun Qin
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The paper presents the method of identifying the most vulnerable territories under exogenous processes caused by aridification/humidification. It is based on the assumption that some forms and types of relief increase resistance of terrestrial ecosystems
D. A. Chupina +2 more
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Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
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Squashed toric manifolds and higher depth mock modular forms
Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region.
Rajesh Kumar Gupta +2 more
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