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ENGLISH

Noncommutative Integration And Operator Theory

by Ben De Pagter, Fedor A. Sukochev e Peter G. Dodds

~~142,63€~~ 128,37€ 10% OFF

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 Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces.
ENGLISH

Perspectives On Four Decades Of Algebraic Geometry, Volume 2 - In Memory Of Alberto Collino

~~175,73€~~ 158,16€ 10% OFF

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 The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.
ENGLISH

Perspectives On Four Decades Of Algebraic Geometry, Volume 1 - In Memory Of Alberto Collino

~~162,21€~~ 145,99€ 10% OFF

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 The first of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.
ENGLISH

Integro-Differential Elliptic Equations

by Xavier Fernandez-Real e Xavier Ros-Oton

~~142,63€~~ 128,37€ 10% OFF

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 This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century.
ENGLISH

Morse Homology With Differential Graded Coefficients

by Alexandru Oancea, Jean-Francois Barraud, Mihai Damian e Vincent Humiliere

~~171,59€~~ 154,43€ 10% OFF

 The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. As particular cases of their construction, they retrieve the singular homology of the total space of Hurewicz fibrations and the usual (Morse) homology with local coefficients.
ENGLISH

Positivity In Arakelov Geometry Over Adelic Curves - Hilbert-Samuel Formula And Equidistribution Theorem

by Atsushi Moriwaki e Huayi Chen

~~133,84€~~ 120,46€ 10% OFF

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 This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors.
ENGLISH

Integro-Differential Elliptic Equations

by Xavier Fernandez-Real e Xavier Ros-Oton

~~142,63€~~ 128,37€ 10% OFF

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 This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century.
ENGLISH

Symmetry In Geometry And Analysis, Volume 1 - Festschrift In Honor Of Toshiyuki Kobayashi

~~171,59€~~ 154,43€ 10% OFF

 Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. The first volume of the Festschrift includes a survey article on Kobayashi’s innovative contributions to Mathematics, emphasizing their influence and introducing new perspectives across various fields. Original articles contained in Volume 1 focus on differential geometry with symmetries as well as algebraic and geometric aspects of representation theory of reductive Lie groups and related topics. Contributions are by Velleda Baldoni, Dan Barbasch, Leticia Barchini, Sigiswald Barbier, Yves Benoist, Sam Claerebout, Michael Eastwood, Wee Teck Gan, William M. Goldman, Roger Howe, Kazuki Kannaka, Toshihisa Kubo, Hung Yean Loke, Jia-Jun Ma, Reiko Miyaoka, Kento Ogawa, Takayuki Okuda, Yoshiki Oshima, Paul-Émile Paradan, Annegret Paul, Michael Pevzner, Yiannis Sakellaridis, Atsumi Sasaki, Gordan Savin, Hideko Sekiguchi, Binyong Sun, Yuichiro Tanaka, Koichi Tojo, Peter Trapa, Michèle Vergne, Joseph A. Wolf, Kayue Daniel Wong, and Chen-Bo Zhu. The Mathematical Work of Toshiyuki Kobayashi is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
ENGLISH

Symmetry In Geometry And Analysis, Volume 3 - Festschrift In Honor Of Toshiyuki Kobayashi

~~237,84€~~ 214,06€ 10% OFF

 Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This third volume of the Festschrift contains original articles on branching problems in representation theory of reductive Lie groups and related topics. Contributions are by Ali Baklouti, Hidenori Fujiwara, Dmitry Gourevitch, Masatoshi Kitagawa, Salma Nasrin, Yoshiki Oshima, and Petr Somberg.
ENGLISH

Symmetry In Geometry And Analysis, Volume 2 - Festschrift In Honor Of Toshiyuki Kobayashi

~~237,84€~~ 214,06€ 10% OFF

 Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This second volume of the Festschrift contains original articles on analytic methods in representation theory of reductive Lie groups and related topics. Contributions are by Salem Ben Saïd, Valentina Casarino, Paolo Ciatti, Jean-Louis Clerc, Jan Frahm, Joachim Hilgert, Toshihisa Kubo, Khalid Koufany, Quentin Labriet, Karl-Hermann Neeb, Yury Neretin, Gestur Ólafsson, Bent Ørsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.
ENGLISH

Perspectives On Four Decades Of Algebraic Geometry, Volume 2 - In Memory Of Alberto Collino

~~171,59€~~ 154,43€ 10% OFF

 The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.
ENGLISH

Perspectives On Four Decades Of Algebraic Geometry, Volume 1 - In Memory Of Alberto Collino

~~158,34€~~ 142,51€ 10% OFF

 The first of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.
ENGLISH

Suprematism In Harmonic Analysis

by Antonio Cordoba

~~172,24€~~ 155,02€ 10% OFF

 This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems. Several connections to number theory, crystallography or atomic theory are also surveyed. The term "suprematism" refers to a certain geometric point of view underlying proofs and arguments.The opening of the book is dedicated to a few results, with short statements and proofs, that could be called "mathematical haikus". Then, in the first part of the book, singular integrals beyond the classical Calderón-Zygmund theory, such as Vitali-type covering lemmas and estimates for the corresponding maximal operators, are explored. The exponential overlapping of parallelepipeds, the strong maximal function, and Zygmund''s conjecture about monotonic bases are also covered. The core of this part is devoted to the Kakeya maximal function and its relation to the spherical summation of Fourier series and integrals. The two-dimensional case is well understood, but the case of higher dimensions still presents many open problems and conjectures. The chapters in the second part of the book treat questions at the interface of harmonic analysis and number theory, including applications of the Poisson summation formula to crystallography and arithmetic, estimates of the Minkowski dimension of Riemann graphs, random lattice point problems, and the role of Weyl sums in atomic energy oscillations.With a focus on rigorous research insights for graduate students and researchers in mathematics, this book provides a comprehensive journey through the hidden landscapes of harmonic analysis.
ENGLISH

Positivity In Arakelov Geometry Over Adelic Curves - Hilbert-Samuel Formula And Equidistribution Theorem

by Atsushi Moriwaki e Huayi Chen

~~158,99€~~ 143,09€ 10% OFF

 This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors.
FRENCH

Stabilisation De La Formule Des Traces Tordue - Volume 2

by Colette Moeglin e Jean-Loup Waldspurger

115,94€ + 10% CARD

 Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue. Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre l''action naturelle du groupe des points adéliques d''un groupe réductif, tordue par un automorphisme, sur les formes automorphes de carré intégrable de ce groupe. Cette compréhension se fait en réduisant le problème, suivant les idées de Langlands, à des groupes plus petits munis d''un certain nombre de données auxiliaires; c''est ce que l''on appelle les données endoscopiques. L''analogue non tordu a été résolu par J. Arthur et dans ce livre on suit la stratégie de celui-ci. Publier ce travail sous forme de livre permet de le rendre le plus complet possible. Les auteurs ont repris la théorie de l''endoscopie tordue développée par R. Kottwitz et D. Shelstad et par J.-P. Labesse. Ils donnent tous les arguments des démonstrations même si nombre d''entre eux se trouvent déjà dans les travaux d''Arthur concernant le cas de la formule des traces non tordue. Ce travail permet de rendre inconditionnelle la classification que J. Arthur a donnée des formes automorphes de carré intégrable pour les groupes classiques quasi-déployés, c’était pour les auteurs une des principales motivations pour l’écrire. Cette partie contient les preuves de la stabilisation géométrique et de la partie spectrale en particulier de la partie discrète de ce terme, ce qui est le point d''aboutissement de ce sujet.
FRENCH

Stabilisation De La Formule Des Traces Tordue - Volume 1

by Colette Moeglin e Jean-Loup Waldspurger

115,94€ + 10% CARD

 Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre l''action naturelle du groupe des points adéliques d''un groupe réductif, tordue par un automorphisme, sur les formes automorphes de carré intégrable de ce groupe. Cette compréhension se fait en réduisant le problème, suivant les idées de Langlands, à des groupes plus petits munis d''un certain nombre de données auxiliaires; c''est ce que l''on appelle les données endoscopiques. L''analogue non tordu a été résolu par J. Arthur et dans ce livre on suit la stratégie de celui-ci.Publier ce travail sous forme de livre permet de le rendre le plus complet possible. Les auteurs ont repris la théorie de l''endoscopie tordue développée par R. Kottwitz et D. Shelstad et par J.-P. Labesse. Ils donnent tous les arguments des démonstrations même si nombre d''entre eux se trouvent déjà dansles travaux d''Arthur concernant le cas de la formule des traces non tordue.Ce travail permet de rendre inconditionnelle la classification que J. Arthur a donnée des formes automorphes de carré intégrable pour les groupes classiques quasi-déployés, c’était pour les auteurs une des principales motivations pour l’écrire.Cette première partie comprend les chapitres préparatoires (I-V).
FRENCH

Espaces De Berkovich Globaux - Catégorie, Topologie, Cohomologie

by Jerome Poineau e Thibaud Lemanissier

~~105,34€~~ 94,81€ 10% OFF

 Cet ouvrage propose une contribution aux fondements de la théorie des espaces de Berkovich globaux. Cette approche récente à la géométrie analytique, qui mêle les théories classiques des espaces analytiques complexes et p-adiques, fournit un cadre géométrique naturel pour plusieurs théories arithmétiques, telle que la théorie d’Arakelov. Les auteurs suivent trois axes principaux, inexplorés au-delà de la dimension 1 : catégorie, topologie et cohomologie. En particulier, ils introduisent une notion de domaine affinoïde surconvergent, pour lequel sont valables les analogues des théorèmes de Tate et de Kiehl. This monograph contributes to the foundations of the theory of global Berkovich spaces. This recent approach of analytic geometry, which blends the known theories of complex and p-adic analytic spaces, provides a natural geometric framework for several arithmetic theories, such as Arakelov geometry. The authors focus on three main themes which have yet to be investigated beyond dimension 1 : category, topology, and cohomology. In particular, they introduce a notion of overconvergent affinoid domain where the analogues of Tate''s and Kiehl''s theorems hold.
FRENCH

Éléments De Géométrie Rigide - Volume I. Construction Et Étude Géométrique Des Espaces Rigides

by Ahmed Abbes

115,94€ + 10% CARD

 La géométrie rigide est devenue, au fil des ans, un outil indispensable dans un grand nombre de questions en géométrie arithmétique. Depuis ses premières fondations, posées par J. Tate en 1961, la théorie s''est développée dans des directions variées. Ce livre est le premier volume d''un traité qui expose un développement systématique de la géométrie rigide suivant l''approche de M. Raynaud, basée sur les schémas formels à éclatements admissibles près. Ce volume est consacré à la construction des espaces rigides dans une situation relative et à l''étude de leurs propriétés géométriques. L''accent est particulièrement mis sur l''étude de la topologie admissible d''un espace rigide cohérent, analogue de la topologie de Zariski d''un schéma. Parmi les sujets traités figurent l''étude des faisceaux cohérents et de leur cohomologie, le théorème de platification par éclatements admissibles qui généralise au cadre formel-rigide un théorème de Raynaud-Gruson dans le cadre algébrique, et le théorème de comparaison du type GAGA pour les faisceaux cohérents. Ce volume contient aussi de larges rappels et compléments de la théorie des schémas formels de Grothendieck. Ce traité est destiné tout autant aux étudiants ayant une bonne connaissance de la géométrie algébrique et souhaitant apprendre la géométrie rigide qu''aux experts en géométrie algébrique et en théorie des nombres comme source de références.
ENGLISH

Principles Of Locally Conformally Kahler Geometry

by Liviu Ornea e Misha Verbitsky

~~238,49€~~ 214,64€ 10% OFF

 This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-Kähler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers.Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-Kähler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichmüller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics.Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research.
ENGLISH

Integro-Differential Elliptic Equations

by Xavier Fernandez-Real e Xavier Ros-Oton

~~185,49€~~ 166,94€ 10% OFF

 This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century.
ENGLISH

Mirzakhaniâ€™S Curve Counting And Geodesic Currents

by Juan Souto e Viveka Erlandsson; Illustration: Hugo Parlier

106,80€ + 10% CARD

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 Further applications include counting square-tiled surfaces and mapping class group orbits, and investigating random geometric structures.Mirzakhaniâ€™s Curve Counting and Geodesic Currents introduces readers to powerful counting techniques for the study of surfaces.
ENGLISH

Boundary Value Problems And Hardy Spaces For Elliptic Systems With Block Structure

by Moritz Egert e Pascal Auscher

115,59€ + 10% CARD

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 In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.
ENGLISH

Isoperimetric Inequalities In Riemannian Manifolds

by Manuel Ritore

142,63€ + 10% CARD

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 This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area.
ENGLISH

Noncommutative Integration And Operator Theory

by Ben De Pagter, Fedor A. Sukochev e Peter G. Dodds

~~184,84€~~ 166,36€ 10% OFF

 The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.
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