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| Author | : Matthias Lesch |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 106 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821872966 |
"November 2012, volume 220, number (end of volume)."
| Author | : Matthias Lesch |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 106 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 082189210X |
The authors of this book express the Connes-Chern of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off parameter.
| Author | : Lizhen Ji |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 520 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821875868 |
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
| Author | : Henri Moscovici |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 337 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0821849441 |
This volume represents the proceedings of the conference on Noncommutative Geometric Methods in Global Analysis, held in honor of Henri Moscovici, from June 29-July 4, 2009, in Bonn, Germany. Henri Moscovici has made a number of major contributions to noncommutative geometry, global analysis, and representation theory. This volume, which includes articles by some of the leading experts in these fields, provides a panoramic view of the interactions of noncommutative geometry with a variety of areas of mathematics. It focuses on geometry, analysis and topology of manifolds and singular spaces, index theory, group representation theory, connections of noncommutative geometry with number theory and arithmetic geometry, Hopf algebras and their cyclic cohomology.
| Author | : Jose Luis Flores |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 88 |
| Release | : 2013-10-23 |
| Genre | : Mathematics |
| ISBN | : 0821887750 |
Recently, the old notion of causal boundary for a spacetime V has been redefined consistently. The computation of this boundary ∂V on any standard conformally stationary spacetime V=R×M, suggests a natural compactification MB associated to any Riemannian metric on M or, more generally, to any Finslerian one. The corresponding boundary ∂BM is constructed in terms of Busemann-type functions. Roughly, ∂BM represents the set of all the directions in M including both, asymptotic and "finite" (or "incomplete") directions. This Busemann boundary ∂BM is related to two classical boundaries: the Cauchy boundary ∂CM and the Gromov boundary ∂GM. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification MB, relating it with the previous two completions, and (3) to give a full description of the causal boundary ∂V of any standard conformally stationary spacetime. J. L. Flores and J. Herrera, University of Malaga, Spain, and M. Sánchez, University of Granada, Spain. Publisher's note.
| Author | : Andrzej Nagórko |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 106 |
| Release | : 2013-04-22 |
| Genre | : Mathematics |
| ISBN | : 082185366X |
The author develops a theory of Nobeling manifolds similar to the theory of Hilbert space manifolds. He shows that it reflects the theory of Menger manifolds developed by M. Bestvina and is its counterpart in the realm of complete spaces. In particular the author proves the Nobeling manifold characterization conjecture.
| Author | : Paul Mezo |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 106 |
| Release | : 2013-02-26 |
| Genre | : Mathematics |
| ISBN | : 0821875655 |
Suppose $G$ is a real reductive algebraic group, $\theta$ is an automorphism of $G$, and $\omega$ is a quasicharacter of the group of real points $G(\mathbf{R})$. Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups $H$. The Local Langlands Correspondence partitions the admissible representations of $H(\mathbf{R})$ and $G(\mathbf{R})$ into $L$-packets. The author proves twisted character identities between $L$-packets of $H(\mathbf{R})$ and $G(\mathbf{R})$ comprised of essential discrete series or limits of discrete series.
| Author | : Dominique Lecomte |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 95 |
| Release | : 2013-01-25 |
| Genre | : Mathematics |
| ISBN | : 0821875574 |
Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potentially in $\bf\Gamma$ if there is a finer Polish topology on $\mathbb R$ such that $B$ is in $\bf\Gamma$ when ${\mathbb R}^d$ is equipped with the new product topology. The author provides a way to recognize the sets potentially in $\bf\Gamma$ and applies this to the classes of graphs (oriented or not), quasi-orders and partial orders.
| Author | : Jean-Bernard Bru |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 173 |
| Release | : 2013-06-28 |
| Genre | : Mathematics |
| ISBN | : 0821889761 |
The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, the authors give a first answer to an old open problem in mathematical physics--first addressed by Ginibre in 1968 within a different context--about the validity of the so-called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, the authors' method provides a systematic way to study all its correlation functions at equilibrium and can thus be used to analyze the physics of long range interactions. Furthermore, the authors show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non-cooperative equilibria of a zero-sum game, called here thermodynamic game.
| Author | : Bruno Bianchini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 208 |
| Release | : 2013-08-23 |
| Genre | : Mathematics |
| ISBN | : 0821887998 |
The aim of this paper is to analyze some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.
