Download or read book Blowing Up of Non Commutative Smooth Surfaces written by M. van den Bergh and published by American Mathematical Soc.. This book was released on 2001 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in associative rings and algebras, and noncommutative geometry.
Download or read book The Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations written by Robert M. Guralnick and published by American Mathematical Soc.. This book was released on 2003 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the analogous question for rational functions. This book describes the Galois theoretic translation, based on Chebotarev's density theorem, leads to a certain property of permutation groups, called exceptionality.
Download or read book Homotopy Theory of the Suspensions of the Projective Plane written by Jie Wu and published by American Mathematical Soc.. This book was released on 2003 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the homotopy theory of the suspensions of the real projective plane. This book computes the homotopy groups up to certain range. It also studies the decompositions of the self smashes and the loop spaces with some applications to the Stiefel manifolds.
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.
Download or read book The AB Program in Geometric Analysis Sharp Sobolev Inequalities and Related Problems written by Olivier Druet and published by American Mathematical Soc.. This book was released on 2002 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.
Download or read book Equivariant Orthogonal Spectra and S Modules written by M. A. Mandell and published by American Mathematical Soc.. This book was released on 2002 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen a revolution in our understanding of the foundations of stable homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy categories are equivalent to the stable homotopy category are now known, whereas no such categories were known before 1993. The most well-known examples are the category of $S$-modules and the category of symmetric spectra. We focus on the category of orthogonal spectra, which enjoys some of the best features of $S$-modules and symmetric spectra and which is particularly well-suited to equivariant generalization. We first complete the nonequivariant theory by comparing orthogonal spectra to $S$-modules. We then develop the equivariant theory.For a compact Lie group $G$, we construct a symmetric monoidal model category of orthogonal $G$-spectra whose homotopy category is equivalent to the classical stable homotopy category of $G$-spectra. We also complete the theory of $S_G$-modules and compare the categories of orthogonal $G$-spectra and $S_G$-modules. A key feature is the analysis of change of universe, change of group, fixed point, and orbit functors in these two highly structured categories for the study of equivariant stable homotopy theory.
Download or read book The Connective K Theory of Finite Groups written by Robert Ray Bruner and published by American Mathematical Soc.. This book was released on 2003 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Download or read book Dynamics of Topologically Generic Homeomorphisms written by Ethan Akin and published by American Mathematical Soc.. This book was released on 2003 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this work is to describe the dynamics of generic homeomorphisms of certain compact metric spaces $X$. Here ``generic'' is used in the topological sense -- a property of homeomorphisms on $X$ is generic if the set of homeomorphisms with the property contains a residual subset (in the sense of Baire category) of the space of all homeomorphisms on $X$. The spaces $X$ we consider are those with enough local homogeneity to allow certain localized perturbations of homeomorphisms; for example, any compact manifold is such a space. We show that the dynamics of a generic homeomorphism is quite complicated, with a number of distinct dynamical behaviors coexisting (some resemble subshifts of finite type, others, which we call `generalized adding machines', appear strictly periodic when viewed to any finite precision, but are not actually periodic). Such a homeomorphism has infinitely many, intricately nested attractors and repellors, and uncountably many distinct dynamically-connected components of the chain recurrent set. We single out several types of these ``chain components'', and show that each type occurs densely (in an appropriate sense) in the chain recurrent set. We also identify one type that occurs generically in the chain recurrent set. We also show that, at least for $X$ a manifold, the chain recurrent set of a generic homeomorphism is a Cantor set, so its complement is open and dense. Somewhat surprisingly, there is a residual subset of $X$ consisting of points whose limit sets are chain components of a type other than the type of chain components that are residual in the space of all chain components. In fact, for each generic homeomorphism on $X$ there is a residual subset of points of $X$ satisfying a stability condition stronger than Lyapunov stability.
Download or read book On Central Critical Values of the Degree Four L functions for mathrm GSp 4 The Fundamental Lemma written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
Download or read book Interpolation of Weighted Banach Lattices A Characterization of Relatively Decomposable Banach Lattices written by Michael Cwikel and published by American Mathematical Soc.. This book was released on 2003 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Download or read book Radially Symmetric Patterns of Reaction Diffusion Systems written by Arnd Scheel and published by American Mathematical Soc.. This book was released on 2003 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.
Download or read book Invariants of Boundary Link Cobordism written by Desmond Sheiham and published by American Mathematical Soc.. This book was released on 2003 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Download or read book Dualities on Generalized Koszul Algebras written by Edward L. Green and published by American Mathematical Soc.. This book was released on 2002 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Koszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups. One aspect of the theory is to compare the module theory for a Koszul ring and its Koszul dual. There are dualities between subcategories of graded modules; the Koszul modules.
Download or read book h Principles and Flexibility in Geometry written by Hansjörg Geiges and published by American Mathematical Soc.. This book was released on 2003 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).
Download or read book Desingularization of Nilpotent Singularities in Families of Planar Vector Fields written by Daniel Panazzolo and published by American Mathematical Soc.. This book was released on 2002 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of singular perturbations and finite cyclicity are discussed in the last chapter.
Download or read book From Representation Theory to Homotopy Groups written by Donald M. Davis and published by American Mathematical Soc.. This book was released on 2002 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
Download or read book q Difference Operators Orthogonal Polynomials and Symmetric Expansions written by Douglas Bowman and published by American Mathematical Soc.. This book was released on 2002 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author explores ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. In special cases these symmetric polynomials reduce to well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from this approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. Expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials are also found. This provides a quick route to understanding the group structure generated by iterating the two-term transformations of these functions. Some infrastructure is also laid for more general investigations in the future
