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The book contains a selection of research and expository papers in pure and applied mathematics presented by various authors as plenary or invited speakers at the biennial congress of the Spanish Royal Mathematical Society held in Ciudad Real (Spain) in January 2022. The main results focus on the Yang problem and its solution proposed by Globevnik; a phylogenetic reconstruction based on algebra; the Calderon problem for local and nonlocal Schrödinger equations; some open problems in orthogonal polynomial theory; Quillen's rational homotopy theory; Ulrich bundles and applications; and free objects in theory of Banach spaces. Researchers in these fields are potential audiences.
List of contents
A survey on applications of a new approach to Quillen rational homotopy theory.- The Yang problem for complete bounded complex submanifolds a survey.- Orthogonal polynomials and operator theory.- Open problems and applications.- A Sample of problems where ULRICH BUNDLES show up.
About the author
Henar Herrero is Professor in the Department of Mathematics at the University of Castilla-La Mancha. Her research interests are included in the fields of numerical analysis and fluid dynamics. Her main contributions consist of numerical techniques for preconditioning, stabilization, and computational cost reduction in collocation methods applied to bifurcation thermal convection problems. At the same time, she achieves results of interest in physics, such as pattern formation or turbulence.
María Cruz Navarro is Associated Professor at the Department of Mathematics in the University of Castilla-La Mancha. Her research interest is focused on the modeling and numerical simulation of the dynamics of thermoconvective fluids. Her main contributions are in the study of the formation and evolution of thermal vortices with geophysical applications. She has also achieved results of interest in other fields, such as microwave heating, hyperthermia, or thermal problems with industrial applications.
Hélia Serrano is Associate Professor at the Department of Mathematics at the University of Castilla-La Mancha. Her research focuses on the homogenization of partial differential equations from a variational point of view. Namely, she studied the effective behavior of composite materials governed by the Maxwell equations, coupled with linear and power law constitutive relations. In addition, her research also focuses on the study of mean first-passage time functions motivated by cell migration.
