Mexican Mathematicians in the World: Trends and Recent Contributions

ISBN-13: 9781470465360

Fernando Galaz-Garcia;Cecilia Gonzalez-Tokman;Juan Carlos Pardo Millan

Opis

Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunion de Matematicos Mexicanos en el Mundo), held from June 10-15, 2018, at Casa Matematica 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. This book is published in cooperation with Sociedad Matematica Mexicana.

Spis treści

• A. J. Cabrera Pacheco and C Cederbaum, A survey on extensions of Riemannian manifolds and Bartnik mass estimates
• E. Calvino-Louzao, E. Garcia-Rio, I. Gutierrez-Rodriguez, and R. Vazquez-Lorenzo, Four-dimensional homogeneous Kahler Ricci solitons
• J. Castillejos, C*-algebras and their nuclear dimension
• D. Corro and J.-B. Kordass, Short survey on the existence of slices for the space of Riemannian metrics
• E. Duenez and J. N. Iovino, Model theory and metric convergence II: Averages of unitary polynomial actions
• H. Jardon-Kojakhmetov and C. Kuehn, A survey on the blow-up method for fast-slow systems
• L. A. Lomeli, Langlands program and Ramanujan conjecture: A survey
• K. McGown and E. Trevino, The least quadratic non-residue
• C. Meneses, Thin homotopy and the holonomy approach to gauge theories
• A. Saldana, On fractional higher-order Dirichlet boundary value problems: Between the Laplacian and the bilaplacian
• Y. S. Sanchez, $H^1$ solutions on curve integrable spacetimes
• D. Sher, A. Uribe, and C. Villegas-Blas, On the pseudospectra of Schrodinger operators on Zoll manifolds
• J. Torres, On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux