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Record Nr. |
UNINA9910864180803321 |
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Autore |
Morishita Masanori <1961-> |
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Titolo |
Knots and Primes : An Introduction to Arithmetic Topology / / by Masanori Morishita |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
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ISBN |
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9789819992553 |
9789819992546 |
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Edizione |
[2nd ed. 2024.] |
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Descrizione fisica |
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1 online resource (268 pages) |
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Collana |
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Universitext, , 2191-6675 |
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Disciplina |
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Soggetti |
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Number theory |
Topology |
Mathematics |
Number Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Chapter 1. Introduction -- Chapter 2. Preliminaries - Fundamental Groups and Galois Groups.-Chapter 3. Knots and Primes, 3-Manifolds and Number Rings -- Chapter 4. Linking Numbers and Legendre Symbols -- Chapter 5. Decompositions of Knots and Primes -- Chapter 6. Homology Groups and Ideal Class Groups I – Genus Theory -- Chapter 7. Idelic Class Field Theory for 3-Manifolds and Number Fields -- Chapter 8. Link Groups and Galois Groups with Restricted Ramification -- Chapter 9. Milnor Invariants and Multiple Power Residue Symbols -- Chapter 10. Alexander Modules and Iwasawa Modules -- Chapter 11. Homology Groups and Ideal Class Groups II – Higher Order Genus Theory -- Chapter 12. Homology Groups and Ideal Class Groups III – Asymptotic Formulas -- Chapter 13. Torsions and the Iwasawa Main Conjecture -- Chapter 14. Moduli Spaces of Representations of Knot and Prime Groups -- Chapter 15. Deformations of Hyperbolic Structures and of p-Adic Ordinary Modular Forms -- Chapter 16. Dijkgraaf–Witten Theory for 3-Manifolds and Number Rings. |
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Sommario/riassunto |
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This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of |
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knots, 3-manifolds, and the arithmetic of number fields. Arithmetic topology is now becoming a powerful guiding principle and driving force to obtain parallel results and new insights between 3-dimensional geometry and number theory. After an informative introduction to Gauss’ work, in which arithmetic topology originated, the text reviews a background from both topology and number theory. The analogy between knots in 3-manifolds and primes in number rings, the founding principle of the subject, is based on the étale topological interpretation of primes and number rings. On the basis of this principle, the text explores systematically intimate analogies and parallel results of various concepts and theories between 3-dimensional topology and number theory. The presentation of these analogies begins at an elementary level, gradually building to advanced theories in later chapters. Many results presented here are new and original. References are clearly provided if necessary, and many examples and illustrations are included. Some useful problems are also given for future research. All these components make the book useful for graduate students and researchers in number theory, low dimensional topology, and geometry. This second edition is a corrected and enlarged version of the original one. Misprints and mistakes in the first edition are corrected, references are updated, and some expositions are improved. Because of the remarkable developments in arithmetic topology after the publication of the first edition, the present edition includes two new chapters. One is concerned with idelic class field theory for 3-manifolds and number fields. The other deals with topological and arithmetic Dijkgraaf–Witten theory, which supports a new bridge between arithmetic topology and mathematical physics. |
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2. |
Record Nr. |
UNINA9910971801003321 |
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Titolo |
Dialogue in intercultural communities : from an educational point of view / / edited by Claudio Baraldi |
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Pubbl/distr/stampa |
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Philadelphia, Pa. ; ; Amsterdam, : John Benjamins Pub. Company, c2009 |
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ISBN |
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9786612395468 |
9781282395466 |
1282395467 |
9789027288912 |
9027288917 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (287 p.) |
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Collana |
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Dialogue studies, , 1875-1792 ; ; v. 4 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Intercultural communication |
Communication |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Empowering dialogue in intercultural settings / Claudio Baraldi -- The research project / Claudio Baraldi, Gabriella Cortesi and Vittorio Iervese -- The CISV narrative / Gabriella Cortesi -- Organisational meetings 1: promoting participation / Claudio Baraldi and Cristina Caiti -- Organisational meetings 2: conflict management / Claudio Baraldi and Elena Gambari -- Activities 1: promoting participation / Monica Bonilauri and Elisa Rossi -- Activities 2: coordinating reflection / Federico Farini -- Activities 3: conflict management / Vittorio Iervese and Elisa Rossi -- Activities 4: adolescents' coordination / Claudio Baraldi and Alessandra Braglia -- Activities 5: interpreting as mediation? / Claudio Baraldi and Rosanna Blasi -- Conclusions / Claudio Baraldi. |
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Sommario/riassunto |
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Conclusions highlight the ways in which the use of language in interactions provides important cues for analyzing the cultural presuppositions of CISV activities, through both empowering dialogues and disempowering monologues. The analysis of interactions and participants' narratives shows both (1) dyadic hierarchical interactions associated with conflict avoidance, normative conflict resolution and |
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instrumental translation, and (2) dialogic empowering relationships based on specific dialogic actions supporting and confirming active participation, such as promotional questions, continuers, echoes, systematic appreciations, transformative formulations, and suggestive narratives. In the activities analysed, promotion of agency and personal expressions, through coordination and dialogic mediation, seems to be more important than insistence on intercultural relationships, and improvements in this promotion seems to be crucial for education to peace in intercultural settings. |
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