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Perspectives on Noncommutative Geometry
This volume represents the proceedings of the Noncommutative Geometry Workshop that was held as part of the thematic program on operator algebras at the Fields Institute in May 2008. Pioneered by Alain Connes starting in the late 1970s, noncommutative geometry was originally inspired by global analysis, topology, operator algebras, and quantum physics. Its main applications were to settle some long-standing conjectures, such as the Novikov conjecture and the Baum-Connes conjecture. Next came the impact of spectral geometry and the way the spectrum of a geometric operator, like the Laplacian, holds information about the geometry and topology of a manifold, as in the celebrated Weyl law. This ...
K-theory and Noncommutative Geometry
Since its inception 50 years ago, K-theory has been a tool for understanding a wide-ranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the dominant examples. The invariants range from characteristic classes in cohomology, determinants of matrices, Chow groups of varieties, as well as traces and indices of elliptic operators. Thus K-theory is notable for its connections with other branches of mathematics. Noncommutative geometry develops tools which allow one to think of noncommutative algebras in the same footing as commutative ones: as algebras of functions on (noncommutative) spaces. The algebras in quest...
The Dark Between Her Stars: A love that was never meant to be
What if the dark was a person? And what if that person was the one she was falling for? In a world beyond human reach, a world long abandoned, rested five islands, each bearing strange names. Drystan Isles, The Elysian Reef, Vanilla Springs, and Bellcove Bay encircled one lone island – the mightiest of them all – The Enclave. Cheryl Cassidy, an unusual fairy with her own set of peculiar traits, charted her road to success. She always kept her eyes forward, blind to the adversities that tried to push her down. She lived under the care of her aunt, Maeve Heath, and worked with a company that held the key to her dreams. Everything in her life flowed seamlessly until the Grand Blowout when a mysterious blonde-haired immortal arrived from Drystal Isles. Ever since him, disturbing things began cropping up behind her. To worsen the situation, rumours of the return of The Dark were rambling throughout The Enclave. And there were secrets and lies lurking in every dreadful corner. How would Cheryl Cassidy deal with her upturned life? How would her sudden backward story end?
Brushy Bill
For many years, a man known as Brushy Bill Roberts proclaimed to all who would listen that he was the historical and legendary Billy the Kid, alive and well. And there were various books written that claimed this to be true. As a result, many became convinced of the validity of Brushy’s claim and Brushy's elaborate fable has continued to capture the imagination. In this book, the author has attempted to dispel the elaborate hoax once and for all. Brushy Bill Roberts was not Billy the Kid. He was, in fact, just an interesting elderly man, known by his family and acquaintances as a colorful Old West storyteller.
C*-algebras and Elliptic Theory II
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.
Confrontations
Confrontations brings, together in one volume six essays by the distinguished critic René Wellek. Five have been previously published but are now practically unobtainable; one, "German and English Romanticism: A Confrontation," is previously unpublished. The books roam emphasis is on the spread of German philosophical and critical ideas to England and the United States. The first essay examines the differences between German and English Romanticism. In the following essays, Professor Wellek examines the Impact of German philosophy and literary theory on the Ideas of Carlyle and De Quincey. In the final two essays, he considers attitudes held by New England Transcendentalists, especially Eme...
Pathways in the Workplace
In this book John Miller demonstrates that access to networks of organizational communication is in fact fundamentally influenced by race and gender.
Proceedings
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Noncommutative Geometry and Number Theory
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
