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).