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#### Iwasawa Theory 2012

Springer Berlin Heidelberg 2014; US$ 169.00This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians... more...

#### The Localization Problem in Index Theory of Elliptic Operators

Springer Basel 2013; US$ 74.99The book deals with the localization approach to the index problem for elliptic operators. It covers both the general localization principle and its applications to specific problems, existing and new. more...

#### Hypoelliptic Laplacian and Bott?Chern Cohomology

Springer International Publishing 2013; US$ 109.00This book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann?Roch?Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott?Chern cohomology. more...

#### Categories for the Working Mathematician

Springer New York 2013; US$ 74.95Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the... more...

#### Cohomology of Finite Groups

Springer Berlin Heidelberg 2013; US$ 129.00Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's... more...

#### Sheaves in Geometry and Logic

Springer New York 2012; US$ 89.95We dedicate this book to the memory of J. Frank Adams. His clear insights have inspired many mathematicians, including both of us. In January 1989, when the first draft of our book had been completed, we heard the sad news of his untimely death. This has cast a shadow on our subsequent work. Our views of topos theory, as presented here, have been shaped... more...

#### The Local Structure of Algebraic K-Theory

Springer London 2012; US$ 129.00This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves the difference between the theories are locally constant. It contains a proof of the integral Goodwillie ICM 1990 conjecture. more...

#### Metric and Differential Geometry

Springer Basel 2012; US$ 139.00Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index... more...

#### Etale Cohomology Theory

World Scientific Publishing Company 2011; US$ 122.00Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites... more...

#### The Geometry of Moduli Spaces of Sheaves

Cambridge University Press 2010; US$ 60.00This highly regarded book is back in print and now updated to reflect recent advances in the field. more...