Mexican Mathematicians in the World : Trends and Recent Contributions

• Record Nr.: UNINA9910958808603321
• Autore: Galaz-García Fernando
• Pubbl/distr/stampa: Providence : , : American Mathematical Society, , 2021; ©2021
• ISBN: 9781470467289; 1470467283
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (336 pages)
• Collana: Contemporary Mathematics ; ; v.775
• Classificazione: 53Cxx83Cxx46Lxx37Axx55Pxx35Cxx47Axx17Bxx11Fxx22Exx
• Altri autori (Persone): González-TokmanCecilia; PardoJuan Carlos
• Disciplina: 510.972
• Soggetti: Mathematics - Mexico; Mathematicians - Mexico; Women mathematicians - Mexico; Differential geometry -- Global differential geometry; Relativity and gravitational theory -- General relativity; Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.); Dynamical systems and ergodic theory -- Ergodic theory; Algebraic topology -- Homotopy theory; Partial differential equations -- Representations of solutions to partial differential equations; Operator theory -- General theory of linear operators; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras; Number theory -- Discontinuous groups and automorphic forms; Topological groups, Lie groups -- Lie groups
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: This volume contains the proceedings of the IV Meeting of Mexican Mathematicians Abroad (IV Reuni'on de Matem'aticos Mexicanos en el Mundo), held at Casa Matem'atica Oaxaca (CMO) in Oaxaca, Mexico, on June 10-15, 2018--Preface.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Cover -- Title page -- Contents -- Preface -- List of Talks and ; Speakers -- A survey on extensions of Riemannian manifolds and Bartnik mass estimates -- 1. Mathematical relativity -- 2. The Mantoulidis-Schoen construction -- 3. Collar extensions, gluing procedures, and Bartnik mass estimates -- 4. Recent results on Bartnik mass estimates -- 5. Conclusions and open problems -- Acknowledgments -- References -- Four-dimensional homogeneous Kähler Ricci solitons -- 1. Introduction -- 2. Preliminaries -- 3. Homogeneous Kähler surfaces. The proof of Theorem 1.1 -- 4. The proof of Corollary 1.2 -- References -- *-algebras and their nuclear dimension -- Introduction -- 1. Basics of *-algebras -- 2. Nuclear dimension -- 3. Zero dimensional objects -- 4. *-algebras associated to groups -- 5. *-algebras associated to dynamical systems -- 6. Cuntz algebras -- 7. General simple *-algebras -- 8. Nuclear dimension of commutative algebras -- Acknowledgments -- References -- Short survey on the existence of slices for the space of Riemannian metrics -- 1. Introduction -- 2. Preliminaries -- 3. Proofs of the Slice Theorem and Theorem B -- 4. Consequences of the Slice Theorem -- Acknowledgment -- References -- Model theory and metric convergence II: Averages of unitary polynomial actions -- Introduction -- 1. PET structures -- 2. Leibman sequences -- 3. An ergodic theorem for unitary polynomial actions of ℤ -- 4. A Mean Ergodic Theorem for unitary polynomial actions of abelian groups -- Appendix A. A Dominated Convergence Theorem for notions of integration in Banach spaces -- Acknowledgments -- References -- A survey on the blow-up method for fast-slow systems -- 1. Introduction -- Notation -- 2. Preliminaries -- 3. Survey -- 4. Summary and outlook -- Acknowledgments -- References -- Langlands program and Ramanujan Conjecture: A survey -- Introduction.; 1. Artin -functions and number theory -- 2. Reductive groups and representation theory -- 3. The Langlands-Shahidi method -- 4. Local Langlands -- 5. Global Langlands -- 6. Globalization methods -- 7. Ramanujan Conjecture -- Acknowledgments -- References -- The least quadratic non-residue -- 1. Introduction -- 2. History and heuristics -- 3. The Pólya-Vinogradov inequality -- 4. The Burgess inequality -- 5. Explicit results on the least quadratic non-residue -- 6. The large sieve and Linnik's theorem -- 7. Ankeny's Theorem -- 8. Conclusion -- Acknowledgments -- References -- Thin homotopy and the holonomy approach to gauge theories -- 1. Introduction -- 2. Brief survey -- 3. Thin homotopy and groups of based loops on a manifold -- 4. Results -- 5. Conclusion and further remarks -- Acknowledgments -- References -- On fractional higher-order Dirichlet boundary value problems: Between the Laplacian and the bilaplacian -- 1. Introduction -- 2. Pointwise evaluations -- 3. Variational framework -- 4. Positivity preserving properties -- 5. Explicit formulas for the inhomogeneous Dirichlet problem in balls -- 6. Asymptotic behavior of solutions -- Appendix A. On the composition of Green functions -- Acknowledgments -- References -- ¹ solutions on curve integrable spacetimes -- 1. Introduction -- 2. Preliminaries and notation -- 3. Curve integrable spacetimes -- Acknowledgments -- References -- On the pseudospectra of Schrödinger operators on Zoll manifolds -- 1. Introduction and statement of results -- 2. Proof of Theorem 1.2 -- 3. Proof of Theorem 1.3 -- 4. Proof of Theorem 1.4 -- 5. Examples on ² -- References -- On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux -- Introduction -- 1. Notation for the Lie algebras -- 2. Tableaux, words and their paths -- 3. Restriction of paths that come from words.; 4. The Naito-Sagaki conjecture -- 5. Littlewood-Richardson tableaux and n-symplectic Sundaram tableaux: branching -- 6. On the proof of ; the Naito-Sagaki conjecture -- 7. Symplectic combinatorics of King, Berele and Sundaram -- Acknowledgments -- References -- Back Cover.
• Sommario/riassunto: Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunión de Matemáticos Mexicanos en el Mundo), held from June 10-15, 2018, at Casa Matemática Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico.This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields.