LEADER 08792nam 22008893 450 001 9910958808603321 005 20250221114806.0 010 $a9781470467289 010 $a1470467283 035 $a(PPN)28280384X 035 $a(CKB)4940000000616224 035 $a(MiAaPQ)EBC6798080 035 $a(Au-PeEL)EBL6798080 035 $a(RPAM)22054025 035 $a(OCoLC)1285170590 035 $a(EXLCZ)994940000000616224 100 $a20211214d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMexican Mathematicians in the World $eTrends and Recent Contributions 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$d©2021. 215 $a1 online resource (336 pages) 225 1 $aContemporary Mathematics ;$vv.775 300 $aThis volume contains the proceedings of the IV Meeting of Mexican Mathematicians Abroad (IV Reuni'on de Matem'aticos Mexicanos en el Mundo), held at Casa Matem'atica Oaxaca (CMO) in Oaxaca, Mexico, on June 10-15, 2018--Preface. 311 08$a9781470465360 311 08$a1470465361 320 $aIncludes bibliographical references. 327 $aCover -- 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 ? -- 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. 327 $a1. 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. 327 $a4. 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. 330 $aArticles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunión de Matemáticos Mexicanos en el Mundo), held from June 10-15, 2018, at Casa Matemática Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico.This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields. 410 0$aContemporary Mathematics 517 $aMexican Mathematicians in the World 606 $aMathematics$zMexico$vCongresses 606 $aMathematicians$zMexico$vCongresses 606 $aWomen mathematicians$zMexico$vCongresses 606 $aDifferential geometry -- Global differential geometry$2msc 606 $aRelativity and gravitational theory -- General relativity$2msc 606 $aFunctional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)$2msc 606 $aDynamical systems and ergodic theory -- Ergodic theory$2msc 606 $aAlgebraic topology -- Homotopy theory$2msc 606 $aPartial differential equations -- Representations of solutions to partial differential equations$2msc 606 $aOperator theory -- General theory of linear operators$2msc 606 $aNonassociative rings and algebras -- Lie algebras and Lie superalgebras$2msc 606 $aNumber theory -- Discontinuous groups and automorphic forms$2msc 606 $aTopological groups, Lie groups -- Lie groups$2msc 615 0$aMathematics 615 0$aMathematicians 615 0$aWomen mathematicians 615 7$aDifferential geometry -- Global differential geometry. 615 7$aRelativity and gravitational theory -- General relativity. 615 7$aFunctional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.). 615 7$aDynamical systems and ergodic theory -- Ergodic theory. 615 7$aAlgebraic topology -- Homotopy theory. 615 7$aPartial differential equations -- Representations of solutions to partial differential equations. 615 7$aOperator theory -- General theory of linear operators. 615 7$aNonassociative rings and algebras -- Lie algebras and Lie superalgebras. 615 7$aNumber theory -- Discontinuous groups and automorphic forms. 615 7$aTopological groups, Lie groups -- Lie groups. 676 $a510.972 676 $a510.972 686 $a53Cxx$a83Cxx$a46Lxx$a37Axx$a55Pxx$a35Cxx$a47Axx$a17Bxx$a11Fxx$a22Exx$2msc 700 $aGalaz-García$b Fernando$01787313 701 $aGonzález-Tokman$b Cecilia$01787314 701 $aPardo$b Juan Carlos$01787315 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910958808603321 996 $aMexican Mathematicians in the World$94320531 997 $aUNINA