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The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as follows: entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces; von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfacto...
Elementary introduction to symbolic dynamics, updated to describe the main advances in the subject since the original publication in 1995.
This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.
This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain. Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics. The articles in this volume are a reflection of the various approaches to this subject, such as results on motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such as new results pertaining to the Hodge and standard conjectures), and more.
This reference discusses how automata and language theory can be used to understand solutions to solving equations in groups and word problems in groups. Examples presented include, how Fine scale complexity theory has entered group theory via these connections and how cellular automata, has been generalized into a group theoretic setting. Chapters written by experts in group theory and computer science explain these connections.
Comprehensive study demonstrates how Chinese writers, in particular the writers of the May Fourth Movement of 1919, guided by Russian authors of the 19th century, created works of art that are both original and Chinese. Glossary of names and terms. This is the Chinese U. Press (of Hong Kong) edition of 1986. Annotation copyrighted by Book News, Inc., Portland, OR
Guilin Huanhuan, who had felt guilty for his entire life, had been reborn. After her rebirth, she vowed to make up for a mistake she made in her previous life. She had finally rescued her adoptive mother, and on the way back, she had abused and fought over the highest quality goods. She had lived an exciting life. However, there was always a person who showed up soundlessly. In the end, Gu Lin Huan couldn't hold it in anymore. Hey, they all say you're my boyfriend! Someone smiled, didn't they?
This volume contains the proceedings of an NSF-CBMS Conference held at Texas Christian University in Fort Worth, Texas, May 18-22, 2009. The papers, written especially for this volume by well-known mathematicians and mathematical physicists, are an outgrowth of the talks presented at the conference. Topics examined are highly interdisciplinary and include, among many other things, recent results on D-brane charges in $K$-homology and twisted $K$-homology, Yang-Mills gauge theory and connections with non-commutative geometry, Landau-Ginzburg models, $C^*$-algebraic non-commutative geometry and ties to quantum physics and topology, the rational homotopy type of the group of unitary elements in...
A modernist icon, an object of forbidden desire, a symbol of loss and suffering, and an incorrigible survivor - the mother takes all of these forms in Chinese literature from the 1920s and 1930s. In an innovative analysis, Sally Taylor Lieberman explores the meanings the maternal figure acquired at a particular place and time and then engages those meanings in a feminist rereading of the master narratives of modern Chinese intellectual and literary history. Drawing on feminist literary criticism and the theories of Julia Kristeva, Melanie Klein, and Sigmund Freud, Lieberman breaks traditional analytical boundaries as she explores the place of the mother in the ideological struggles through which the modern Chinese canon attained its present shape.