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Algebraic Topology
The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.
Topological Data Analysis for Genomics and Evolution
An introduction to geometric and topological methods to analyze large scale biological data; includes statistics and genomic applications.
Noncommutative Geometry and Physics 3
Noncommutative differential geometry has many actual and potential applications to several domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.
Elliptic Cohomology
First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.
Scaling Phenomena in Disordered Systems
This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe)...
The Mysteries of Reality
Courageous scientists challenge the dominant paradigm of reality. Why are they so brave and what does their research reveal? What is reality? Is there more than we know from our five senses? Vanguard scientists believe there is more than we see so they formulate a non-materialist paradigm that expands human potential, to include mind and matter interaction. Since going against the dominant worldview provokes opposition, this book explores the personal backgrounds of the scientists to find out why they are so courageous. We learn that there is another dimension that allows for enhanced abilities. Based on interviews conducted by Gayle Kimball, The Mysteries of Reality: Dialogues with Visionary Scientists reports on the current research and personal characteristics of visionaries from around the world.
Autonomic Communication
New paradigms for communication/networking systems are needed in order to tackle the emerging issues such as heterogeneity, complexity and management of evolvable infrastructures. In order to realize such advanced systems, approaches should become task- and knowledge-driven, enabling a service-oriented, requirement, and trust-driven development of communication networks. The networking and seamless integration of concepts, technologies and devices in a dynamically changing environment poses many challenges to the research community, including interoperability, programmability, management, openness, reliability, performance, context awareness, intelligence, autonomy, security, privacy, safety, and semantics. This edited volume explores the challenges of technologies to realize the vision where devices and applications seamlessly interconnect, intelligently cooperate, and autonomously manage themselves, and as a result, the borders of virtual and real world vanish or become significantly blurred.
The Allure of Machinic Life
An account of the creation of new forms of life and intelligence in cybernetics, artificial life, and artificial intelligence that analyzes both the similarities and the differences among these sciences in actualizing life.The Allure of Machinic Life
On Thom Spectra, Orientability, and Cobordism
Rudyak’s groundbreaking monograph is the first guide on the subject of cobordism since Stong's influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories). These are all framed by (co)homology theories and spectra. The author has also performed a service to the history of science in this book, giving detailed attributions.
A New Foundation for Representation in Cognitive and Brain Science
The purpose of the book is to advance in the understanding of brain function by defining a general framework for representation based on category theory. The idea is to bring this mathematical formalism into the domain of neural representation of physical spaces, setting the basis for a theory of mental representation, able to relate empirical findings, uniting them into a sound theoretical corpus. The innovative approach presented in the book provides a horizon of interdisciplinary collaboration that aims to set up a common agenda that synthesizes mathematical formalization and empirical procedures in a systemic way. Category theory has been successfully applied to qualitative analysis, mai...
