Álgebra y Teoría de los Números

Coordinador: Roberto Aravire <raravire@gmail.com> (UNAP)
  1. Algebras de Lie nilpotentes de contacto.
  2. El Reticulo Modular libre generado por dos cadenas numerables.
  3. On nilpotent Evolution algebras.
  4. Sesion Invitada Algebra y Teoria de los Numeros.
  5. Witt kernels of purely inseparable extensions.

Análisis Numérico de Ecuaciones en Derivadas Parciales

Coordinador: Gabriel Gatica <ggatica@ci2ma.udec.cl> (UdeC)
  1.  A computational approach to a spatio-temporal and gender-structured model for hantavirus infection in rodents.
  2. A high order HDG method for Stokes flow in curved domains.
  3. A new sequential algorithm for fluid mechanics and heat transfer in complex conjugate problems solved by finite volume method.
  4. A posteriori error analysis of a fully-mixed formulation for the Navier–Stokes-Darcy coupled problem with nonlinear viscosity.
  5. A posteriori error analysis of an augmented fully–mixed FEM for the Boussinesq problem.
  6. A priori and a posteriori error analyses of a flux-based mixed-FEM for convection-diffusion-reaction problems.
  7. A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem.
  8. A Schwarz algorithm in H (curl) for irregular subdomains in 3D.
  9. An augmented stress-based mixed finite element method for the Navier-Stokes equations with variable viscosity.
  10. Analysis of a HDG method applied to n-dimensional linear Brinkman models.
  11. Entropy solutions of a scalar conservation law modelling sedimentation in vessels with varying cross sectional area.
  12. Finite element analysis of a pressure-stress formulation for the time-domain fluid-structure interaction.
  13. High order numerical schemes for one-dimension non-local conservation laws.
  14. Metodos de alto orden para sistemas hiperbolicos con productos no conservativos, aplicados a sistemas shallow water multicapa con sedimentacion polidispersa.
  15. Stabilization of convective terms by a Darcy-Brinkman-Forchheimer porous model for alloy solidification and food solar drying

Didáctica de la Matemáticas

Coordinador: Marcela Parraguez <marcela.parraguez@pucv.cl> (PUCV)
  1. Analisis comparativo del lexico disponible en los centros de interes ser profesor y ser matematico.
  2. Analisis del lenguaje probabilistico en el aula de educacion basica.
  3. Construcciones y mecanismos mentales de un esquema de la implicacion como entendimiento comun.
  4. El aprendizaje del calculo diferencial desde un disenio curricular modular.
  5. El conocimiento del profesor como factor explicativo del aprendizaje del alumno en matematicas.
  6. El rol de la grilla en la construccion del fractal triangulo de Sierpinski.
  7. Identificando cualidades de experticia en un profesor novel participante de un curso formativo que promueve la reflexion.
  8. Los modos de pensamiento una herramienta para la practica docente.
  9. Transformaciones isometricas usando modelo de Van Hiele.
  10. Un estudio de clase para resignificar la desviacion media a nivel de la ensenianza escolar en Chile.
  11. Un estudio historico y epistemologico para sustentar los modos de pensar la derivada.
  12. Una aproximacion didactica a la Geometria Fractal

Ecuaciones en Diferenciales Parciales

Coordinador: Marko Rojas <marko.medar@gmail.com> (UTA)
  1. A singular vortex rossby wave packet within a rapidly rotating vortex.
  2. A weak-Lp Prodi-Serrin type regularity criterion for the Boussinesq equations.
  3. Algunos contraejemplos relacionados con la ecuacion estacionaria de Kirchhoff.
  4. Ecuaciones de fluidos magneto-micropolares con condicion de borde tipo Navier.
  5. Finite volume method solution of PDEs in 3D natural convective freezing of a shear-thinning non-Newtonian fluid.
  6. Flow through isotropic granular porous media regularity and time-periodicity.
  7. New results for multi-fold contour integrals of certain ratios of Euler gamma functions.
  8. Nonhomogeneous asymmetric fluids strong solutions in thin domains.
  9. On the convergence of Galerkin spectral methods for a bioconvective flow.
  10. Sobre la ecuacion de Boussinesq.
  11. Sobre la solucion debil de las ecuaciones tipo magneto-hidrodinamica.
  12. Soluciones positivas en un problema de borde de orden fraccionario.
  13. Spot dynamics in a plant root hair initiation model.
  14. The Dubovitskii-Milyutin formalism applied to a control problem in a solidification model.

Geometría y Física

Coordinador: Elizabeth Gasparim <egasparim@ucn.cl> (UCN) y Alexander Torres-Gomes <alexander.torres.gomez@gmail.com>
  1. A formulation of the Horava gravity without extra modes
  2. Chern-Simons Theory with Complex Gauge Group on Seifert Fibred 3-Manifolds.
  3. Derived symmetries of moduli spaces of sheaves on K3 surfaces
  4. Duality relation among the Hamiltonian structures of a parametric coupled Korteweg-de Vries system
  5. First quantized higher spin theory
  6. From Riemannian to Newton-Cartan Geometry along a Light-like Reduction
  7. M2-branes Fiber bundles and Supergravity
  8. Morita equivalence of pointed fusion categories
  9. On the existence of the ground state of the D11 Supermembrane theory and Matrix Models
  10. Orbifold cohomology of weighted projective spaces
  11. Phase Transitions on the Long Range Ising Models in presence of an random external field
  12. Spectrum of the 2+1 black hole
  13. Topological nature of the Fu-Kane-Mele invariants
  14. Topological String Partition Function on Generalised Conifolds

Matrices, Grafos y Aplicaciones

Coordinador: Oscar Rojo <orojo@ucn.cl> y Ricardo L. Soto <rsoto@ucn.cl> (UCN)
  1. Classical iterative methods for the solution of Generalized Lyapunov Equations.
  2. Directional algorithms for the frequency isolation problem in undamped vibrational systems.
  3. Grafos con maximo indice de Estrada Laplaciano y Laplaciano sin signo.
  4. Infinity families of integral graphs.
  5. Merging the A- and Q-spectral theories.
  6. On the spectral radius under certain perturbations 1.
  7. On the spectral radius under certain perturbations 2.
  8. Un problema inverso para matrices tridiagonales no simetricas.
  9. Vertex degrees of the skeleton of the matching polytope of a graph.
  10. Wiener Index for a special construction of bipartite graphs.

Optimización

Coordinador: Cristian Vera <cristver@unap.cl> (UNAP)
  1. A new second order asymptotic function with applications to quadratic programming.
  2. Condiciones para problemas de optimizacion Intervalar.
  3. Error bounds, metric subregularity and stability in Generalized Nash Equilibrium Problems with nonsmooth payoff functions
  4. Especificaciones derivadas del teorema Dubovitskii-Milyutin para puntos proper eficientes de problemas de optimizacion multiobjetivo con restricciones de multi-igualdad.
  5. Extragradient method with variance reduction for stochastic variational inequalities.
  6. Formulas for the q-asymptotic function.
  7. Innite sum functions and regularity-stationarity properties of innite collections of sets.
  8. On the Subdifferential of possibly Non-Lipschitzian Gaussian Probability Functions.
  9. Optimalidad para problemas de control no suaves.
  10. Proper eficiencia en Problemas de Control optimo.
  11. Recientes avances en problemas de optimizacion difusa.
  12. Saddle point conditions for cone constrained vector optimization problems.

Sistemas Dinámicos

Coordinador: Bernardo San Martín <sanmarti@ucn.cl> (UCN)
  1. Codimension-two bifurcations organising global dynamics in population models.
  2. Dinamica simbolica en el grupo libre.
  3. Entropia Topologica Y Semiflujos Impulsivos.
  4. Estabilidad segun Lyapounov en Dominios Estractificados.
  5. Foliaciones absolutamente continuas para difeomorfismos genericos.
  6. On the Kexpansiveness of the Rovella Attractor.
  7. Sobre la equivalencia topologica de dos atractores Geometricos de Lorenz.

Teoría de Distribuciones y Aplicaciones

Coordinador: Héctor Gómez <hector.gomez@uantof.cl> (UA)
  1. A lifetime distribution with appliations in reliability
  2. A new cure rate model based on the Yule-Simon distribution with application to a melanoma data set
  3. An extension of the slash-elliptical distribution
  4. Densidades generadas por densidades
  5. Gamma-Maxwell distribution
  6. Modelo de regresion doblemente censurado potencia skew-normal con inflacion
  7. Modified slash Lindley distribution
  8. Reduccion de sesgo en la EMV de la distribucion MStN
  9. Test eficiente para la bondad de ajuste del error
  10. The Power Piecewise Exponential model
  11. Una Distribucion Birnbaum-Saunders Bimodal
  12. Una nueva distribucion multimodal asimetrica
  13. Univariate and bivariate models related to the generalized epsilon-skew-Cauchy distribution
  14. Using the kriging update equations to select data for spatial prediction

Teoría de Operadores y Problemas de Evolución

Coordinador: Víctor Cortés <vhcortesm@gmail.com> (PUC)
  1. Algebra homorphisms and a Katznelson-Tzafriri type theorem for Cesaro bounded operators.
  2. Almost exponential decay for rank one perturbations.
  3. Analysis of the Brinkman flow equation with Bore-like data.
  4. Bose Einstein condensation of trapped gases beyond the innitely extended systems.
  5. Existence of global solutions for a class of abstract second order nonlocal Cauchy problem with impulsive conditions in Banach spaces.
  6. F. and M. Riesz Lemma on peak sets and algebras generated by a unitary operator in Pontryagin spaces.
  7. Global asymptotic stability and periodic solutions in a two-dimensional system with delay.
  8. On non linear pseudo-differential equations.
  9. Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove.
  10. Quantization of Systems Reduced by Commuting Hamiltonian Flows a Decomposable Weyl Calculus and Commutation of Quantization and Reduction.