Author: Ralf Meyer
Publisher: European Mathematical Society
Keywords: tracts, mathematics, ems, homology, analytic, cyclic, local
Number of Pages: 368
Published: 2007-07-15
List price: $78.00
ISBN-10: 3037190396
ISBN-13: 9783037190395

Periodic cyclic homology is a homology theory for non-commutative algebras that plays a similar role in non-commutative geometry as de Rham cohomology for smooth manifolds. While it produces good results for algebras of smooth or polynomial functions, it fails for bigger algebras such as most Banach algebras or C*-algebras. Analytic and local cyclic homology are variants of periodic cyclic homology that work better for such algebras. In this book, the author develops and compares these theories, emphasizing their homological properties. This includes the excision theorem, invariance under pass

Author: Reto Müller
Publisher: European Mathematical Society
Keywords: series, lectures, mathematics, ems, flow, harnack, inequalities, ricci, differential
Number of Pages: 100
Published: 2006-08-15
List price: $28.00
ISBN-10: 3037190302
ISBN-13: 9783037190302

In 2002, Grisha Perelman presented a new kind of differential Harnack inequality which involves both the (adjoint) linear heat equation and the Ricci flow. This led to a completely new approach to the Ricci flow that allowed interpretation as a gradient flow which maximizes different entropy functionals. The goal of this book is to explain this analytic tool in full detail for the two examples of the linear heat equation and the Ricci flow. It begins with the original Li-Yau result, presents Hamilton’s Harnack inequalities for the Ricci flow, and ends with Perelman’s entropy formul

Authors:Andrzej Skowronski,  Andrzej Skowroski,
Publisher: European Mathematical Society
Keywords: ems, series, congress, reports, topics, related, representation, theory, algebras, trends
Number of Pages: 722
Published: 2008-09-15
List price: unknow
ISBN-10: 3037190620
ISBN-13: 9783037190623

This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development. The topics under discussion include diagram algebras, Brauer algebras, cellular algebras, quasi-hereditary algebras, Ha

Author: Alexander H. W. Schmitt
Publisher: European Mathematical Society
Keywords: zurich, lectures, advanced, mathematics, bundles, principal, invariant, theory, decorated, geometric
Number of Pages: 397
Published: 2008-07-15
List price: $62.00
ISBN-10: 3037190655
ISBN-13: 9783037190654

The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation of quotients. In the second part, GIT is applied to solve the classification problem of decorated principal bundles on a compact Riemann surface. The solution is a quasi-projective moduli scheme which parameterizes those objects that satisfy a semistability condition originating from gauge theory. The moduli space is equipped with a generalized

Author: Guus Balkema
Publisher: European Mathematical Society
Keywords: advanced, mathematics, lectures, zurich, scenarios, extremes, risk
Number of Pages: 388
Published: 2007-09-15
List price: $64.00
ISBN-10: 3037190353
ISBN-13: 9783037190357

Quantitative Risk Management (QRM) has become a field of research of considerable importance to numerous areas of application, including insurance, banking, energy, medicine, and reliability. Mainly motivated by examples from insurance and finance, the authors develop a theory for handling multivariate extremes. The approach borrows ideas from portfolio theory and aims at an intuitive approach in the spirit of the Peaks over Thresholds method. The point of view is geometric. It leads to a probabilistic description of what in QRM language may be referred to as a high risk scenario: the conditio

Authors:Athanase Papadopoulos, Athanase Papadopoulos,
Publisher: European Mathematical Society
Keywords: mathematics, theoretical, physics, lectures, irma, teichmuller, theory, handbook
Number of Pages: 883
Published: 2009-03-15
List price: $128.00
ISBN-10: 3037190558
ISBN-13: 9783037190555

The Teichmüller space of a surface was introduced by O. Teichmüller in the 1930s. It is a basic tool in the study of Riemann’s moduli spaces and the mapping class groups. These objects are fundamental in several fields of mathematics, including algebraic geometry, number theory, topology, geometry, and dynamics. The original setting of Teichmüller theory is complex analysis. The work of Thurston in the 1970s brought techniques of hyperbolic geometry to the study of Teichmüller space and its asymptotic geometry. Teichmüller spaces are also studied fro

Author: Dmitri V. Alekseevsky and Helga BaumDmitri V. Ale
Publisher: European Mathematical Society
Keywords: lectures, mathematics, physics, esl, geometry, developments, pseudo, riemannian, recent
Number of Pages: 549
Published: 2008-06-15
List price: $78.00
ISBN-10: 3037190515
ISBN-13: 9783037190517

This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian g
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