Derived $\ell $-Adic Categories for Algebraic Stacks

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829297
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Derived $\ell $-Adic Categories for Algebraic Stacks by : Kai Behrend

Download or read book Derived $\ell $-Adic Categories for Algebraic Stacks written by Kai Behrend and published by American Mathematical Soc.. This book was released on 2003 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.

Kac Algebras Arising from Composition of Subfactors: General Theory and Classification

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829351
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kac Algebras Arising from Composition of Subfactors: General Theory and Classification by : Masaki Izumi

Download or read book Kac Algebras Arising from Composition of Subfactors: General Theory and Classification written by Masaki Izumi and published by American Mathematical Soc.. This book was released on 2002 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim

On the Foundations of Nonlinear Generalized Functions I and II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827294
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the Foundations of Nonlinear Generalized Functions I and II by : Michael Grosser

Download or read book On the Foundations of Nonlinear Generalized Functions I and II written by Michael Grosser and published by American Mathematical Soc.. This book was released on 2001 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.

Banach Embedding Properties of Non-Commutative $L^p$-Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832719
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Embedding Properties of Non-Commutative $L^p$-Spaces by : U. Haagerup

Download or read book Banach Embedding Properties of Non-Commutative $L^p$-Spaces written by U. Haagerup and published by American Mathematical Soc.. This book was released on 2003 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit

The Lifted Root Number Conjecture and Iwasawa Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829289
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Lifted Root Number Conjecture and Iwasawa Theory by : Jürgen Ritter

Download or read book The Lifted Root Number Conjecture and Iwasawa Theory written by Jürgen Ritter and published by American Mathematical Soc.. This book was released on 2002 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns the relation between the Lifted Root Number Conjecture, as introduced in [GRW2], and a new equivariant form of Iwasawa theory. A main conjecture of equivariant Iwasawa theory is formulated, and its equivalence to the Lifted Root Number Conjecture is shown subject to the validity of a semi-local version of the Root Number Conjecture, which itself is proved in the case of a tame extension of real abelian fields.

Some Generalized Kac-Moody Algebras with Known Root Multiplicities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821828886
Total Pages : 137 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Some Generalized Kac-Moody Algebras with Known Root Multiplicities by : Peter Niemann

Download or read book Some Generalized Kac-Moody Algebras with Known Root Multiplicities written by Peter Niemann and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.

The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821828916
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$ by : Nanhua Xi

Download or read book The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$ written by Nanhua Xi and published by American Mathematical Soc.. This book was released on 2002 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.

Basic Global Relative Invariants for Homogeneous Linear Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827812
Total Pages : 223 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Basic Global Relative Invariants for Homogeneous Linear Differential Equations by : Roger Chalkley

Download or read book Basic Global Relative Invariants for Homogeneous Linear Differential Equations written by Roger Chalkley and published by American Mathematical Soc.. This book was released on 2002 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given any fixed integer $m \ge 3$, the author presents simple formulas for $m - 2$ algebraically independent polynomials over $\mathbb{Q}$ having the remarkable property, with respect to transformations of homogeneous linear differential equations of order $m$, that each polynomial is both a semi-invariant of the first kind (with respect to changes of the dependent variable) and a semi-invariant of the second kind (with respect to changes of the independent variable). These relative invariants are suitable for global studies in several different contexts and do not require Laguerre-Forsyth reductions for their evaluation. In contrast, all of the general formulas for basic relative invariants that have been proposed by other researchers during the last 113 years are merely local ones that are either much too complicated or require a Laguerre-Forsyth reduction for each evaluation.

Almost Commuting Elements in Compact Lie Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827928
Total Pages : 153 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Almost Commuting Elements in Compact Lie Groups by : Armand Borel

Download or read book Almost Commuting Elements in Compact Lie Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2002 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes the components of the moduli space of conjugacy classes of commuting pairs and triples of elements in a compact Lie group. This description is in the extended Dynkin diagram of the simply connected cover, together with the co-root integers and the action of the fundamental group. In the case of three commuting elements, we compute Chern-Simons invariants associated to the corresponding flat bundles over the three-torus, and verify a conjecture of Witten which reveals a surprising symmetry involving the Chern-Simons invariants and the dimensions of the components of the moduli space.

On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832689
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems by : Pierre Lochak

Download or read book On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems written by Pierre Lochak and published by American Mathematical Soc.. This book was released on 2003 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.

Singular Quasilinearity and Higher Eigenvalues

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827170
Total Pages : 191 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Singular Quasilinearity and Higher Eigenvalues by : Victor Lenard Shapiro

Download or read book Singular Quasilinearity and Higher Eigenvalues written by Victor Lenard Shapiro and published by American Mathematical Soc.. This book was released on 2001 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in partial differential equations.

The Moduli Space of $N=1$ Superspheres with Tubes and the Sewing Operation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832603
Total Pages : 150 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Moduli Space of $N=1$ Superspheres with Tubes and the Sewing Operation by : Katrina Barron

Download or read book The Moduli Space of $N=1$ Superspheres with Tubes and the Sewing Operation written by Katrina Barron and published by American Mathematical Soc.. This book was released on 2003 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic $N = 1$ superconformal field theory, this book defines the moduli space of $N=1$ genus-zero super-Riemann surfaces with oriented and ordered half-infinite tubes, modulo superconformal equivalence.

Elliptic Partial Differential Operators and Symplectic Algebra

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832352
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Elliptic Partial Differential Operators and Symplectic Algebra by : William Norrie Everitt

Download or read book Elliptic Partial Differential Operators and Symplectic Algebra written by William Norrie Everitt and published by American Mathematical Soc.. This book was released on 2003 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This investigation introduces a new description and classification for the set of all self-adjoint operators (not just those defined by differential boundary conditions) which are generated by a linear elliptic partial differential expression $A(\mathbf{x}, D)=\sum_{0\, \leq\, \left s\right \, \leq\,2m}a_{s} (\mathbf{x})D DEGREES{s}\;\text{for all}\;\mathbf{x}\in\Omega$ in a region $\Omega$, with compact closure $\overline{\Omega}$ and $C DEGREES{\infty }$-smooth boundary $\partial\Omega$, in Euclidean space $\mathbb{E} DEGREES{r}$ $(r\geq2).$ The order $2m\geq2$ and the spatial dimensio

Noether-Lefschetz Problems for Degeneracy Loci

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831836
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noether-Lefschetz Problems for Degeneracy Loci by : Jeroen Spandaw

Download or read book Noether-Lefschetz Problems for Degeneracy Loci written by Jeroen Spandaw and published by American Mathematical Soc.. This book was released on 2003 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the cohomology of degeneracy loci. This title assumes that $E\otimes F DEGREES\vee$ is ample and globally generated, and that $\psi$ is a general homomorphism. In order to study the cohomology of $Z$, it considers the Grassmannian bundle $\pi\colon Y: =\mathbb{G}(f-r, F)\to X$ of $(f-r)$-dimensional linear subspaces of the fibre

Segre's Reflexivity and an Inductive Characterization of Hyperquadrics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832255
Total Pages : 133 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Segre's Reflexivity and an Inductive Characterization of Hyperquadrics by : Yasuyuki Kachi

Download or read book Segre's Reflexivity and an Inductive Characterization of Hyperquadrics written by Yasuyuki Kachi and published by American Mathematical Soc.. This book was released on 2002 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction The universal pseudo-quotient for a family of subvarieties Normal bundles of quadrics in $X$ Morphisms from quadrics to Grassmannians Pointwise uniform vector bundles on non-singular quadrics Theory of extensions of families over Hilbert schemes Existence of algebraic quotient--proof of Theorem 0.3 Appendix. Deformations of vector bundles on infinitesimally rigid projective varieties with null global $i$-forms References

Mutual Invadability Implies Coexistence in Spatial Models

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827685
Total Pages : 133 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mutual Invadability Implies Coexistence in Spatial Models by : Richard Durrett

Download or read book Mutual Invadability Implies Coexistence in Spatial Models written by Richard Durrett and published by American Mathematical Soc.. This book was released on 2002 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In (1994) Durrett and Levin proposed that the equilibrium behavior of stochastic spatial models could be determined from properties of the solution of the mean field ordinary differential equation (ODE) that is obtained by pretending that all sites are always independent. Here we prove a general result in support of that picture. We give a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in the stochastic spatial model with fast stirring. Then using biologists' notion of invadability as a guide, we show how this condition can be checked in a wide variety of examples that involve two or three species: epidemics, diploid genetics models, predator-prey systems, and various competition models.

Cycles, Growth and Structural Change

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Publisher : Routledge
ISBN 13 : 1134530013
Total Pages : 415 pages
Book Rating : 4.1/5 (345 download)

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Book Synopsis Cycles, Growth and Structural Change by : Lionello F Punzo

Download or read book Cycles, Growth and Structural Change written by Lionello F Punzo and published by Routledge. This book was released on 2003-09-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers together key new contributions on the subject of the relationship, both empirical and theoretical, between economic oscillations, growth and structural change. Employing a sophisticated level of mathematical modelling, the collection contains articles from, amongst others, William Baumol, Katsuhito Iwai and William Brock.