On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821845403
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields by : Michael Thoreau Lacey

Download or read book On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields written by Michael Thoreau Lacey and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 965 (fourth of 5 numbers)."

Complex Interpolation between Hilbert, Banach and Operator Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848429
Total Pages : 92 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Interpolation between Hilbert, Banach and Operator Spaces by : Gilles Pisier

Download or read book Complex Interpolation between Hilbert, Banach and Operator Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 2010-10-07 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by a question of Vincent Lafforgue, the author studies the Banach spaces $X$ satisfying the following property: there is a function $\varepsilon\to \Delta_X(\varepsilon)$ tending to zero with $\varepsilon>0$ such that every operator $T\colon \ L_2\to L_2$ with $\T\\le \varepsilon$ that is simultaneously contractive (i.e., of norm $\le 1$) on $L_1$ and on $L_\infty$ must be of norm $\le \Delta_X(\varepsilon)$ on $L_2(X)$. The author shows that $\Delta_X(\varepsilon) \in O(\varepsilon^\alpha)$ for some $\alpha>0$ iff $X$ is isomorphic to a quotient of a subspace of an ultraproduct of $\theta$-Hilbertian spaces for some $\theta>0$ (see Corollary 6.7), where $\theta$-Hilbertian is meant in a slightly more general sense than in the author's earlier paper (1979).

The Generalised Jacobson-Morosov Theorem

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Publisher : American Mathematical Soc.
ISBN 13 : 082184895X
Total Pages : 135 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Generalised Jacobson-Morosov Theorem by : Peter O'Sullivan

Download or read book The Generalised Jacobson-Morosov Theorem written by Peter O'Sullivan and published by American Mathematical Soc.. This book was released on 2010-08-06 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers homomorphisms $H \to K$ from an affine group scheme $H$ over a field $k$ of characteristic zero to a proreductive group $K$. Using a general categorical splitting theorem, Andre and Kahn proved that for every $H$ there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where $H$ is the additive group over $k$. As well as universal homomorphisms, the author considers more generally homomorphisms $H \to K$ which are minimal, in the sense that $H \to K$ factors through no proper proreductive subgroup of $K$. For fixed $H$, it is shown that the minimal $H \to K$ with $K$ reductive are parametrised by a scheme locally of finite type over $k$.

Extended Abstracts 2021/2022

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Publisher : Springer Nature
ISBN 13 : 3031485793
Total Pages : 262 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Extended Abstracts 2021/2022 by : Duván Cardona

Download or read book Extended Abstracts 2021/2022 written by Duván Cardona and published by Springer Nature. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robin Functions for Complex Manifolds and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849654
Total Pages : 126 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Robin Functions for Complex Manifolds and Applications by : Kang-Tae Kim

Download or read book Robin Functions for Complex Manifolds and Applications written by Kang-Tae Kim and published by American Mathematical Soc.. This book was released on 2011 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 209, number 984 (third of 5 numbers)."

Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847694
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups by : Ross Lawther

Download or read book Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups written by Ross Lawther and published by American Mathematical Soc.. This book was released on 2011 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.

Second Order Analysis on $(\mathscr {P}_2(M),W_2)$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853090
Total Pages : 173 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Second Order Analysis on $(\mathscr {P}_2(M),W_2)$ by : Nicola Gigli

Download or read book Second Order Analysis on $(\mathscr {P}_2(M),W_2)$ written by Nicola Gigli and published by American Mathematical Soc.. This book was released on 2012-02-22 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered.

Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848119
Total Pages : 93 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring by : Tarmo Järvilehto

Download or read book Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring written by Tarmo Järvilehto and published by American Mathematical Soc.. This book was released on 2011 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.

On $L$-Packets for Inner Forms of $SL_n$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853643
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On $L$-Packets for Inner Forms of $SL_n$ by : Kaoru Hiraga

Download or read book On $L$-Packets for Inner Forms of $SL_n$ written by Kaoru Hiraga and published by American Mathematical Soc.. This book was released on 2012 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability forSL$(2)$. Canad. J. Math. 31 (1979), no. 4, 726-785). In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.

Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852388
Total Pages : 91 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates by : Steve Hofmann

Download or read book Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates written by Steve Hofmann and published by American Mathematical Soc.. This book was released on 2011 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848267
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor by : Dillon Mayhew

Download or read book The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor written by Dillon Mayhew and published by American Mathematical Soc.. This book was released on 2010 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.

Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates

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Publisher : American Mathematical Soc.
ISBN 13 : 082185299X
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates by : Jun Kigami

Download or read book Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates written by Jun Kigami and published by American Mathematical Soc.. This book was released on 2012-02-22 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.

The Moduli Space of Cubic Threefolds as a Ball Quotient

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847511
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Moduli Space of Cubic Threefolds as a Ball Quotient by : Daniel Allcock

Download or read book The Moduli Space of Cubic Threefolds as a Ball Quotient written by Daniel Allcock and published by American Mathematical Soc.. This book was released on 2011 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 209, number 985 (fourth of 5 numbers)."

Chevalley Supergroups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853007
Total Pages : 77 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Chevalley Supergroups by : Rita Fioresi

Download or read book Chevalley Supergroups written by Rita Fioresi and published by American Mathematical Soc.. This book was released on 2012 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the framework of algebraic supergeometry, the authors give a construction of the scheme-theoretic supergeometric analogue of split reductive algebraic group-schemes, namely affine algebraic supergroups associated to simple Lie superalgebras of classical type. In particular, all Lie superalgebras of both basic and strange types are considered. This provides a unified approach to most of the algebraic supergroups considered so far in the literature, and an effective method to construct new ones. The authors' method follows the pattern of a suitable scheme-theoretic revisitation of Chevalley's construction of semisimple algebraic groups, adapted to the reductive case. As an intermediate step, they prove an existence theorem for Chevalley bases of simple classical Lie superalgebras and a PBW-like theorem for their associated Kostant superalgebras.

Weighted Shifts on Directed Trees

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Publisher : American Mathematical Soc.
ISBN 13 : 0821868683
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Weighted Shifts on Directed Trees by : Zenon Jan Jablónski

Download or read book Weighted Shifts on Directed Trees written by Zenon Jan Jablónski and published by American Mathematical Soc.. This book was released on 2012 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a generalization of classical weighted shifts, on the one hand, and of weighted adjacency operators, on the other; they are called weighted shifts on directed trees. The basic properties of such operators, including closedness, adjoints, polar decomposition and moduli are studied. Circularity and the Fredholmness of weighted shifts on directed trees are discussed. The relationships between domains of a weighted shift on a directed tree and its adjoint are described. Hyponormality, cohyponormality, subnormality and complete hyperexpansivity of such operators are entirely characterized in terms of their weights. Related questions that arose during the study of the topic are solved as well.

Definable Additive Categories: Purity and Model Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847678
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Definable Additive Categories: Purity and Model Theory by : Mike Prest

Download or read book Definable Additive Categories: Purity and Model Theory written by Mike Prest and published by American Mathematical Soc.. This book was released on 2011-02-07 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.

The Generalized Fitting Subsystem of a Fusion System

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853031
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Generalized Fitting Subsystem of a Fusion System by : Michael Aschbacher

Download or read book The Generalized Fitting Subsystem of a Fusion System written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2011-01-20 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the author seeks to build a local theory of fusion systems, analogous to the local theory of finite groups, involving normal subsystems and factor systems.