Contributions

Invited Talks at Scientific Institutions

  • "Radially symmetric solutions for a class of nonconvex problems in the Calculus of Variations", talk delivered at SISSA, Trieste-Italy, March 13, 1991.

  • "Resultados de Existencia y no existencia en Cálculo de Variaciones", invited minicourse (a serie of three lectures) delivered at Universidad de Santiago de Chile, Facultad de Ciencias, Departamento de Matemáticas y Ciencias de la Computación, Santiago-Chile, September 1992.

  • "Una teoría de Dualidad no convexa", invited conference delivered at Facultad de Ciencias Físicas y Matemáticas, Universidad Nacional de La Libertad, Trujillo-Perú, Febrero 1993.

  • "Algunos tópicos en Ecuaciones Dif. Ordinarias, Sistemas Dinámicos y Cálculo de Variaciones", invited minicourse (a serie of five lectures) delivered at Universidad Nacional de Piura, Piura-Perú, Abril 1993.

  • "Algunas reflexiones sobre el problema de minimización en el Cálculo de Variaciones", invited talk delivered at Universidad Católica de la Santísima Concepción, Concepción-Chile, Julio 1994.

  • "Lower perturbations for some classes of non-convex integrals", talk delivered at SISSA, Trieste-Italy, January 10, 1995.

  • "Sul problema di non esistenza di minimo per una classe di funzionali con integrando non-convesso", invited talk delivered at Dipartimento di Matematica Pura ed Applicata, Universitá di Padova, Padova-Italy, February 01, 1995.

  • "El Teorema de Liapunov: Variantes y Aplicaciones", invited talk delivered at Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago-Chile, October 25, 1995.

  • "Non-convex integrands in the Calculus of Variations", invited minicourse (a serie of three lectures) delivered at Departament de Matemática Aplicada i Análisi, Universidad de Barcelona, Barcelona-Spain, November 22-24, 1995.

  • "Algunas reflexiones en el Cálculo de Variaciones", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, May 08, 1996.

  • "Remarks on the Ekeland variational principle and related properties", talk delivered at SISSA, Trieste-Italy, June 26, 1996.

  • "Aproximación numérica en el Cálculo de Variaciones", talk delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería (UNI), Lima-Perú, July 19, 1996.

  • "De la geometría de los espacios de Banach a la teoría de optimización", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, May 14, 1997.

  • "Un problema variacional en teoría del consumidor", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, November 12, 1997.

  • "Optimización y Cálculo de Variaciones sin convexidad: una introducción", invited course delivered at the Instituto de Matemática y Ciencias Afines (IMCA), Lima-Perú, January 04 - 29, 1999.

  • "Problemas de minimización no-coercivos", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, June 28, 2000.

  • "Existence in scalar/vector convex optimization and optimality conditions in non-convex set-valued minimization", invited lecture delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, July 05, 2000.

  • "Non-coercive problems in optimization: theory and application", invited talk delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, November 27, 2000.

  • "An existence theory for equilibrium problems", invited talk delivered at SISSA, Trieste-Italy, January 23, 2002.

  • "Recession analysis and minimization problems", invited talk delivered at Departament of Mathematics, Aligarh Muslim University, Aligarh-India, February 08, 2002.

  • "An introduction to the Calculus of Variations", invited talk delivered at Departament of Mathematics, Aligarh Muslim University, Aligarh-India, February 09, 2002.

  • "Star-shaped vector functions and non-convex vector optimization", invited talk delivered at Centre for Mathematical Modeling, Universidad de Chile, Santiago-Chile, May 29, 2002.

  • "Variational problems arising in mathematical economics", invited talk delivered at Departamento de Matemática, Universidad de Aveiro, Aveiro-Portugal, April 23, 2003.

  • "The vector Weierstrass theorem and generalized quasiconvex vector optimization", invited talk delivered at Dipartimento di Statistica, Universita degli Studi di Milano-Biccoca, Milan-Italy, July 17, 2003.

  • "Existence theory for non-coercive pseudomonotone equilibrium problems", invited talk delivered at Dipartimento di Sistemi ed Istituzioni per l`Economia, Universita degli Studi di L`Aquila, L`Aquila-Italy, July 21,2003.

  • "An overview of vector optimization and game theory", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Chile, Concepcion-Chile, 1st October 2003.

  • "Un problema variacional dependiente del Laplaciano y anílisis numérico", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Concepcion, Concepcion-Chile, June 23, 2004.

  • "De la Optimizacion a la Teoria de Juegos", talk delivered at Colloqium of Departamento de Ingeniería Matemática, Universidad de Chile, Concepcion-Chile,  September 28, 2005.

  • "De la Optimizacion a la Teoria de Juegos No-cooperativos: un recuento interesante", conference delivered within the  Incorporation Ceremony as a Corrresponding Member, Academia Nacional de Ciencia y Tecnologia (ANCyT), Lima-Peru,  October 06, 2005.

  • "Weak efficiency in convex and quasiconvex vector minimization: existence and optimality conditions",  a series of  fourth invited lectures delivered at talk delivered at Departamento de Matematica Aplicada I, Universidad  Nacional de Educacion a Distancia, Madrid-Spain,  07, 08, 14 and 15 November, 2005.

  • "A unified approach for linear complementarity problems",  invited talk delivered at talk delivered at Departamento de Matematica Aplicada I, Universidad Nacional de Educacion a Distancia, Madrid-Spain,  19 June, 2006.

  • "A general existence theory and sensibility for multivalued complementarity problems", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 16 Julio, 2007.

  • "Efficiency and weak efficiency in vectorial optimization", invited talk at Area Ciencias Básicas, Facultad de Ingeniería, Universidad Católica de la Santísima Concepción, Concepción-Chile, 16 Octubre, 2007.

  • "Asymptotically bounded multifunctions and MCP beyond copositivity", invited seminar at Analyse Nonlineaire et Optimisation Seminaire, Departament de Mathematique, Universite d'Avignon, Avignon-France, 22 May, 2008.

  • "Optimization multiobjetivo y convexidad escondida", talk delivered within the Colloqium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, August 20, 2008.

  • "An alternative theorem and applications in mathematical optimization", talk delivered at Departamento Académico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, October 12, 2009.

  • "Gordan-type alternative theorems with applications in mathematical programming" and "A general class of vector functions with applications in vector optimization", invited lectures within the TRAINING-PROGRAMME-2010 on "Optimization theory and applications" ad Departament of Mathematics, Faculty of Mathematical Sciences, University of Delhi (UD), Delhi-India, 10-14 February, 2010.

  • "Nonlinear complementarity problems with asymptotically bounded multifunctions:existence and sensitivity results", invited talk delivered at Dipartimento di Matematica, Università di Pisa, Pisa-Italy, 01 June 2011.

  • "The role of convexity in nonconvex optimization: from mathematical programming to calculus of variations", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 21 October, 2011.

  • "An alternative-type formulation of the Fritz John/KKT optimality conditions", invited talk delivered at Departamento Académico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, 24 September, 2012.

  • "A geometric characterization of strong duality in nonconvex quadratic programming", invited talk, delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 03 December, 2012.

  • "Las condiciones de Fritz John, KKT y la propiedad de dualidad fuerte en optimización no convexa", invited talk delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería (UNI), Lima-Perú, 10 May, 2013.

  • "The two-dimensional world in (nonconvex) multiobjective programming", invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 25 June, 2013.

  • "Unifying efficiency and weak efficiency in vector optimization", invited talk delivered at Dipartimento di Matematica, Università di Genova, Genova-Italy, 05 June, 2014.

  • "Cuando la convexidad en optimización surge de modo natural", invited talk delivered at Departamento Acadiémico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, July 22, 2014.

  • Series of ten lectures (two hours each), as a short course, entitled "Vector Optimization", delivered at Departamento de Gestión y Control de la Facultad de Economía y Negocios de la Universidad de Chile, Santiago-Chile, January 14 - 16; 21 - 23, 2015.

  • "Strong duality in nonconvex optimization with a single equality and geometric constraints: applications to QP", invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 30 June, 2015.

  • "A unifying model in vector optimization theory", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 09 July, 2015.

  • "Lagrangian duality without standard convexity", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 04 - 10 February, 2016.

  • "Introduction to Calculus of Variations", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 13 - 19 April, 2016.

  • "A semi-infinite programming approach fo rthe circular conic STQOP: strong duality, optimality and hidden convexity", invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 04 July, 2016.

  • "Nonconvex quadratic optimization", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 15 - 19 August, 2016.

  • "A semi-infinite programming approach fo rthe circular conic STQOP: strong duality, optimality and hidden convexity", invited talk delivered at Dipartimento di Informatica, Università di Pisa, Pisa-Italy, 04 July, 2016.

  • "Nonconvex quadratic optimization", Series of five lectures (three hours each) delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 15 - 19 August, 2016.

  • "Does convexity arise in optimization naturally?", Invited talk delivered at Center for Mathematical Modeling (CMM), Universidad de Chile, Santiago, 16 November, 2016.

  • "De la Optimización a la teoría de juegos no-cooperativos: un recuento interesante”, Invited conference delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería, Lima - Perú, 05 February, 2018.

  • "Convexity of images for quadratic-linear mappings and applications", Invited talk, delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 20 February, 2019

  • "The role of zero-scaled asymptotic functions in quasiconvex optimization", Invited talk delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingenería, Lima - Perú, 26 April, 2019

  • "Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior", Invited talk delivered at Centro de Investigación (CIUP), Universidad del Pacífico, Lima - Perú, 16 August, 2019.

  • "Optimizando durante toda la vida: un recuento interesante", Invited talk delivered at Área de Matemática, Facultad de Ciencias, Dirección General de Investigación de la Vicerrectoría de Investigación, Innovación y Postgrado, Universidad Arturo Prat, Iquique - Chile, 04 Septiembre, 2019.

  • "Escalarización lineal y no lineal en optimización vectorial", Invited talk delivered at Área de Matemática, Facultad de Ciencias, Dirección General de Investigación de la Vicerrec- toría de Investigación, Innovación y Postgrado, Universidad Arturo Prat, Iquique - Chile, 06 Septiembre, 2019.

  • "Convexidad ... casi en todas partes", talk delivered within the Coloquium of the Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción-Chile, 24 September, 2019.

  • "Análisis Asíntotico en Optimización y Programación Cuadrática", Three lectures (one hour and half each) as an Invited short course delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 02-03-04 October, 2019.

  • "Convexity of images for quadratic-linear mappings and applications", invited talk delivered at Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Industriales, Universidad Nacional de Educación a Distancia, Madrid-Spain, 19 November, 2019.

  • "Escalarizacion lineal y no lineal en optimización no convexa", invited talk delivered at, Escuela Técnica Superior de Ingeniería de Telecomunicación, Campus Miguel Delibes, Universidad de Valladolid, Spain, 25 November, 2019.

  • "Imágenes convexas de funciones cuadráticas-lineales y aplicaciones", invited talk delivered at, Escuela Técnica Superior de Ingeniería de Telecomunicación, Campus Miguel Delibes, Universidad de Valladolid, Spain, 28 November, 2019.

  • "Lo que conocemos (y no) acerca de las funciones cuadráticas y alguna de sus recientes implicancias", Invited talk delivered at Facultad de Ciencias, Pabellón de Investigación, Universidad Nacional de Ingeniería, Lima - Perú, 11 March, 2020.

  • "Nonconvex quadratic integrals: characterizing existence of minimizers and optimality", Invited talk delivered at Instituto de Matemática y Ciencias Afines (IMCA), Universidad Nacional de Ingeniería, Lima - Perú, 13 March, 2020.

  • "Quasiconvexity of the minimum of any translation of quasiconvex functions: some consequences for their sum and applications", Invited talk delivered at Departamento de Matemática, Universidad de Tarapacá, Arica - Chile, 10 September, 2020. (Virtual)

  • "Characterizing convexity of images for quadratic-linear mappings and applications", Invited Seminar delivered within Analysis and Applied Mathematics Seminar at WMU Department of Mathematics, WMU, USA, 08 April, 2022. (Virtual)

  • "Hidden and present convexity from quadratic programming to integral functionals", Invited seminar delivered at Departamento de Matemática, Universidad de Tarapacá, Arica - Chile, 14 May, 2022 (face to face).

  • "Characterizing robust optimality for a class of nonconvex quadratic optimization problems", Invited seminar delivered at Departamento de Matemáticas, Universidad de Alicante, Alicante - España, 14 June, 2022 (face to face).

  • "Robustez en optimización cuadrática no convexa", invited talk delivered at Departamento Académico de Matemática, Universidad Nacional de Trujillo, Trujillo-Perú, May 15, 2023 (face to face).

  • "Imágenes convexas de funciones cuadráticas y aplicaciones en optimización no convexa", Invited seminar delivered at Departamento de Matemáticas, Universidad de Alicante, Alicante - España, 06 July, 2023 (face to face).

  • "Caracterizando la propiedad de diagonalización simultánea para dos matrices", Invited talk delivered at Facultad de Ciencias, Universidad Nacional de Ingeniería, Lima - Perú, 25 January, 2024 (face to face).

  • "Sobre una clase de funciones en optimización no convexa", Conferencia Inaugural del Año Académico 2024 de los programas de Postgrado en Matemática dada en el Departamento de Matemática, Universidad de Tarapacá, Arica - Chile, 04 April, 2024 (face to face).