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200 papers

This article provides a geometric bridge between two entirely different character formulas for reductive Lie groups and answers the question posed by W.Schmid in [Sch]. A corresponding problem in the compact group setting was solved by…

Representation Theory · Mathematics 2007-05-23 Matvei Libine

This paper at first concerns some criteria on Artinianness and vanishing of formal local cohomology modules. Then we consider the cosupport and the set of coassociated primes of these modules more precisely.

Commutative Algebra · Mathematics 2012-01-27 Majid Eghbali

Via a covariance representation based on characteristic functions, a known elementary proof of the Gaussian concentration inequality is presented. A few other applications are briefly mentioned.

Probability · Mathematics 2024-10-10 Christian Houdré

Motivated by the desire to understand the geometry of the basic loci in the reduction of Shimura varieties, we study their "group-theoretic models" -- generalized affine Deligne-Lusztig varieties -- in cases where they have a particularly…

Algebraic Geometry · Mathematics 2020-09-21 Ulrich Görtz , Xuhua He , Sian Nie

We prove the Breuil-Mezard conjecture for split non-scalar residual representations of Gal(Qp/Qp) by local methods. Combined with the cases previously proved in [18] and [24], this completes the proof of the conjecture (when p>3). As a…

Number Theory · Mathematics 2014-11-17 Yongquan Hu , Fucheng Tan

We prove a new localization theorem for stable model categories if the localizing subcategory is generated by a precovering class in the model category. We use this to show how one may explicitly realize certain Bousfield localization…

Category Theory · Mathematics 2007-10-30 Matthew Grime

Grassmannian local hidden variables are shown to generate all possible quantum correlations in a bipartite quantum system. Grassmann representation of fermions, common in field theory, opens a related perspective. Although Grassmann hidden…

Quantum Physics · Physics 2007-08-07 Lajos Diósi

This paper is intended to survey the basics of localization and anti-localization cardinals on the reals, and its interplay with notions and cardinal characteristics related to measure and category.

Logic · Mathematics 2023-05-08 Miguel A. Cardona , Diego Alejandro Mejía

Following the work of Beilinson-Bernstein and Kashiwara-Rouquier, we give a geometric interpretation of certain categories of modules over the finite W-algebra. As an application we reprove the Skryabin equivalence.

Representation Theory · Mathematics 2025-01-22 Christopher Dodd , Kobi Kremnizer

We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem…

Probability · Mathematics 2022-06-08 E. Ostrovsky , L. Sirota

Termination is an important property of programs; notably required for programs formulated in proof assistants. It is a very active subject of research in the Turing-complete formalism of term rewriting systems, where many methods and tools…

Logic in Computer Science · Computer Science 2012-03-01 Frédéric Blanqui , Adam Koprowski

For an $S^{1}$-manifold with boundary, we prove a localization formula applying to any equivariant cohomology theory satisfying a certain algebraic condition. We show how the localization result of Kalkman and a case of the quantization…

Differential Geometry · Mathematics 2007-05-23 David S. Metzler

In the preprint we present an outline of the one dimensional version of topological Galois theory. The theory studies topological obstruction to solvability of equations "in finite terms" (i.e. to their solvabilty by radicals, by elementary…

Algebraic Geometry · Mathematics 2019-04-09 Askold Khovanskii

This manuscripts contains the proofs for "A Primal-Dual Message-Passing Algorithm for Approximated Large Scale Structured Prediction".

Machine Learning · Computer Science 2012-07-10 Tamir Hazan , Raquel Urtasun

The purpose of this survey is to describe how locally compact groups can be studied as geometric objects. We will emphasize the main ideas and skip or just sketch most proofs, often referring the reader to our much more detailed book…

Group Theory · Mathematics 2016-06-20 Yves de Cornulier , Pierre de la Harpe

Grabmayer and Fokkink recently presented a finite and complete axiomatization for 1-free process terms over the binary Kleene star under bismilarity equivalence (proceedings of LICS 2020, preprint available). A different and considerably…

Logic in Computer Science · Computer Science 2021-11-23 Allan van Hulst

We study surjectivity of a localization map in Galois cohomology.

Number Theory · Mathematics 2022-11-08 Dylon Chow

The paper has three main applications. The first one is this Hilbert-Grunwald statement. If $f:X\rightarrow \Pp^1$ is a degree $n$ $\Qq$-cover with monodromy group $S_n$ over $\bar\Qq$, and finitely many suitably big primes $p$ are given…

Number Theory · Mathematics 2011-07-01 Pierre Dèbes , François Legrand

This notes explains how standard algorithms that construct sorting networks have been formalised and proved correct in the Coq proof assistant using the SSReflect extension.

Data Structures and Algorithms · Computer Science 2022-03-04 Laurent Théry

The goal of this note is to provide a very short proof of Harer-Zagier formula for the number of ways of obtaining a genus g Riemann surface by identifying in pairs the sides of a (2d)-gon, using semi-infinite wedge formalism operators.

Algebraic Geometry · Mathematics 2018-08-07 Danilo Lewanski