Download or read book Gromov s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume written by Roberto Frigerio and published by American Mathematical Society. This book was released on 2023-03-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Bounded Cohomology and Simplicial Volume written by Caterina Campagnolo and published by Cambridge University Press. This book was released on 2022-11-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.

Download or read book Bounded Cohomology and Simplicial Volume written by Caterina Campagnolo and published by Cambridge University Press. This book was released on 2022-11-30 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.

Download or read book Bounded Cohomology of Discrete Groups written by Roberto Frigerio and published by American Mathematical Soc.. This book was released on 2017-11-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and topology of manifolds, and has been the topic of active research continuing to this day. This monograph provides a unified, self-contained introduction to the theory and its applications, making it accessible to a student who has completed a first course in algebraic topology and manifold theory. The book can be used as a source for research projects for master's students, as a thorough introduction to the field for graduate students, and as a valuable landmark text for researchers, providing both the details of the theory of bounded cohomology and links of the theory to other closely related areas. The first part of the book is devoted to settling the fundamental definitions of the theory, and to proving some of the (by now classical) results on low-dimensional bounded cohomology and on bounded cohomology of topological spaces. The second part describes applications of the theory to the study of the simplicial volume of manifolds, to the classification of circle actions, to the analysis of maximal representations of surface groups, and to the study of flat vector bundles with a particular emphasis on the possible use of bounded cohomology in relation with the Chern conjecture. Each chapter ends with a discussion of further reading that puts the presented results in a broader context.

Download or read book Solving S Unit Mordell Thue Thue Mahler and Generalized Ramanujan Nagell Equations via the Shimura Taniyama Conjecture written by Rafael von Känel and published by American Mathematical Society. This book was released on 2023-06-22 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black Scholes Partial Differential Equations written by Philipp Grohs and published by American Mathematical Society. This book was released on 2023-04-07 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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Download or read book The Representation Theory of the Increasing Monoid written by Sema Güntürkün and published by American Mathematical Society. This book was released on 2023-06-22 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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Download or read book Convexity of Singular Affine Structures and Toric Focus Integrable Hamiltonian Systems written by Tudor S. Ratiu and published by American Mathematical Society. This book was released on 2023-07-31 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Overlapping Iterated Function Systems from the Perspective of Metric Number Theory written by Simon Baker and published by American Mathematical Society. This book was released on 2023-07-31 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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Download or read book Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume written by Roelof Bruggeman and published by American Mathematical Society. This book was released on 2023-07-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Automorphism Orbits and Element Orders in Finite Groups Almost Solubility and the Monster written by Alexander Bors and published by American Mathematical Society. This book was released on 2023-07-31 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Embeddings of Decomposition Spaces written by Felix Voigtlaender and published by American Mathematical Society. This book was released on 2023-07-31 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-287-1426-abstract.pdf

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