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Lectures on Kahler Groups - Professor Pierre Py - Bog - Princeton University Press - Plusbog.dk

Lectures on Kahler Groups - Professor Pierre Py - Bog - Princeton University Press - Plusbog.dk

An introduction to the state-of-the-art in the study of Kähler groups This book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kähler manifolds, known as Kähler groups. Approaching the subject from the perspective of a geometric group theorist, Pierre Py equips readers with the necessary background in both geometric group theory and Kähler geometry, covering topics such as the actions of Kähler groups on spaces of nonpositive curvature, the large-scale geometry of infinite covering spaces of compact Kähler manifolds, and the topology of level sets of pluriharmonic functions.Presenting the most important results from the past three decades, the book provides graduate students and researchers with detailed original proofs of several central theorems, including Gromov and Schoen’s description of Kähler group actions on trees; the study of solvable quotients of Kähler groups following the works of Arapura, Beauville, Campana, Delzant, and Nori; and Napier and Ramachandran’s work characterizing covering spaces of compact Kähler manifolds having many ends. It also describes without proof many of the recent breakthroughs in the field. Lectures on Kähler Groups also gives, in eight appendixes, detailed introductions to such topics as the study of ends of groups and spaces, groups acting on trees and Hilbert spaces, potential theory, and L 2 cohomology on Riemannian manifolds.

DKK 493.00
1

The Hidden History of Women's Ordination - Gary (p John Nobili Macy - Bog - Oxford University Press Inc - Plusbog.dk

The Hidden History of Women's Ordination - Gary (p John Nobili Macy - Bog - Oxford University Press Inc - Plusbog.dk

The Roman Catholic leadership still refuses to ordain women officially or even to recognize that women are capable of ordination. But is the widely held assumption that women have always been excluded from such roles historically accurate? How might the current debate change if our view of the history of women''s ordination were to change? In The Hidden History of Women''s Ordination, Gary Macy offers illuminating and surprising answers to these questions. Macy argues that for the first twelve hundred years of Christianity, women were in fact ordained into various roles in the church. He uncovers references to the ordination of women in papal, episcopal and theological documents of the time, and the rites for these ordinations have survived. The insistence among scholars that women were not ordained, Macy shows, is based on a later definition of ordination, one that would have been unknown in the early Middle Ages. In the early centuries of Christianity, ordination was understood as the process and the ceremony by which one moved to any new ministry in the community. In the early Middle Ages, women served in at least four central ministries: episcopa (woman bishop), presbytera (woman priest), deaconess and abbess. The ordinations of women continued until the Gregorian reforms of the eleventh and twelfth centuries radically altered the definition of ordination. These reforms not only removed women from the ordained ministry, but also attempted to eradicate any memory of women''s ordination in the past. With profound implications for how women are viewed in Christian history, and for current debates about the role of women in the church, The Hidden History of Women''s Ordination offers new answers to an old question and overturns a long-held erroneous belief.

DKK 430.00
1

Test Configurations, Stabilities and Canonical Kahler Metrics - Toshiki Mabuchi - Bog - Springer Verlag, Singapore - Plusbog.dk

Test Configurations, Stabilities and Canonical Kahler Metrics - Toshiki Mabuchi - Bog - Springer Verlag, Singapore - Plusbog.dk

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be discussed. It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds. Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding''s functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kähler metrics.

DKK 519.00
1

Differential Geometry in the Large - - Bog - Cambridge University Press - Plusbog.dk

Differential Geometry in the Large - - Bog - Cambridge University Press - Plusbog.dk

The 2019 ''Australian-German Workshop on Differential Geometry in the Large'' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

DKK 486.00
1

Variational Problems in Differential Geometry - - Bog - Cambridge University Press - Plusbog.dk

Variational Problems in Differential Geometry - - Bog - Cambridge University Press - Plusbog.dk

The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop ''Variational Problems in Differential Geometry'' held in 2009 at the University of Leeds brought together internationally respected researchers from many different areas of the field. Topics discussed included recent developments in harmonic maps and morphisms, minimal and CMC surfaces, extremal Kähler metrics, the Yamabe functional, Hamiltonian variational problems and topics related to gauge theory and to the Ricci flow. These articles reflect the whole spectrum of the subject and cover not only current results, but also the varied methods and techniques used in attacking variational problems. With a mix of original and expository papers, this volume forms a valuable reference for more experienced researchers and an ideal introduction for graduate students and postdoctoral researchers.

DKK 542.00
1

Algebraic Models in Geometry - John Oprea - Bog - Oxford University Press - Plusbog.dk

Algebraic Models in Geometry - John Oprea - Bog - Oxford University Press - Plusbog.dk

Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kähler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.

DKK 728.00
1

Chow Rings, Decomposition of the Diagonal, and the Topology of Families - Claire Voisin - Bog - Princeton University Press - Plusbog.dk

Chow Rings, Decomposition of the Diagonal, and the Topology of Families - Claire Voisin - Bog - Princeton University Press - Plusbog.dk

In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori''s work that have been further developed by others.

DKK 693.00
1

Smooth Homogeneous Structures in Operator Theory - Daniel Beltita - Bog - Taylor & Francis Ltd - Plusbog.dk

Smooth Homogeneous Structures in Operator Theory - Daniel Beltita - Bog - Taylor & Francis Ltd - Plusbog.dk

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with functional analysis and general topology, the author begins with an introduction to infinite dimensional Lie theory with emphasis on the relationship between Lie groups and Lie algebras. A detailed examination of smooth homogeneous spaces follows. This study is illustrated by familiar examples from operator theory and develops methods that allow endowing such spaces with structures of complex manifolds. The final section of the book explores equivariant monotone operators and Kähler structures. It examines certain symmetry properties of abstract reproducing kernels and arrives at a very general version of the construction of restricted Grassmann manifolds from the theory of loop groups. The author provides complete arguments for nearly every result. An extensive list of references and bibliographic notes provide a clear picture of the applicability of geometric methods in functional analysis, and the open questions presented throughout the text highlight interesting new research opportunities. Daniel Beltitâ is a Principal Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania.

DKK 643.00
1