Results 11 to 20 of about 302 (159)
An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
American Journal of Mathematicsabstract: Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for every admissible one-dimensional $p$-adic Lie extension whose Galois group has an abelian Sylow $p$-subgroup. Crucially, this result does not depend on the vanishing of any $\mu$-invariant.
Johnston, H, Nickel, A
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Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
, 2005 Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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Gromov's Oka principle for equivariant maps
, 2021 We take the first step in the development of an equivariant version of modern, Gromov-style Oka theory. We define equivariant versions of the standard Oka property, ellipticity, and homotopy Runge property of complex manifolds, show that they satisfy all
Lárusson, Finnur +2 more
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An Equivariant Main Conjecture in Iwasawa Theory and Applications [PDF]
, 2023 In this dissertation we prove a new equivariant main conjecture in Iwasawa theory associated to the cyclotomic Z_p−extension of a CM number field over a totally real number field.
Gambheera, Rusiru
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Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]
, 2003 The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D. +5 more
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Solid Harmonic Wavelet Bispectrum for Image Analysis
Advanced Science, EarlyView.The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
wiley +1 more source
Sustainable Materials Design With Multi‐Modal Artificial Intelligence
Advanced Science, EarlyView.Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu +8 more
wiley +1 more source
Advanced Science, EarlyView.Chemical short‐range order (CSRO) plays a central role in governing the behavior of multi‐principal element alloys. This perspective critically assesses computational and experimental approaches for quantifying, characterizing, and validating CSRO, emphasizing modeling–experiment cross‐validation pathways that enable more reliable interpretation of ...
Mohsen Asle Zaeem, Peter K. Liaw
wiley +1 more source
Data‐Guided Photocatalysis: Supervised Machine Learning in Water Splitting and CO2 Conversion
Advanced Intelligent Discovery, EarlyView.This review highlights recent advances in supervised machine learning (ML) for photocatalysis, emphasizing methods to optimize photocatalyst properties and design materials for solar‐driven water splitting and CO2 reduction. Key applications, challenges, and future directions are discussed, offering a practical framework for integrating ML into the ...
Paul Rossener Regonia +1 more
wiley +1 more source
On the cyclotomic main conjecture for the prime 2 [PDF]
, 2011 We complete the proof of the equivariant Tamagawa number conjecture for Tate motives over absolutely abelian fields by proving a refined cyclotomic main conjecture at the prime ...
Flach, Matthias
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