proyecto nac

Competition and Cooperation in Economics and Social Sciences

PI: Amparo María Mármol Conde Abstract: The goal of the project is the investigation of decision-making situations with multiple agents, which are common in numerous economic, social and political environments, including strategic and cooperative models, together with resource allocation conflicts. The common feature in the problems we consider is the fact that they extend the classic …

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Algebraic Geometry and Arithmetic Geometry: Differential methods, singularities, cohomology and elliptic curves

  PI1: Antonio Rojas León PI2: Luis Narváez Macarro Abstract: In this project our goal is to study different problems related to Algebraic Geometry and Number Theory. Specifically, we have divided the work plan in 5 reseach lines: (A) Differential structures and cohomological methods in Algebraic Geometry and Singularities. It is divided in two sub-lines, corresponding …

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Cross-cutting challenges in homotopy theory, knots, and groups

    PI1: Fernando Muro PI2: Juan González-Meneses Abstract: Problems in low-dimensional topology, traditionally linked to group theory, are being currently treated by means of homological methods. In upper dimensions the use of higher categories has led to solutions of long-standing open problems. Higher homotopical structures are being used in such diverse topics as quantum field …

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Computational Methods in Algebra, D-modules, Representation Theory and Optimization

   PI1: Francisco J. Castro JiménezPI2: Mercedes Rosas Celis Abstract: The project deals with applications of Computer Algebra Methods to D-module theory and singularities, Representation and invariant theory, algebraic combinatoric, Lie, Leibniz and Malcev algebras and integer programming.   Partners: Centro Informático Científico de Andalucía (CICA), The Singular Group (TUK Kaiserslautern), Addlink Software Científico SL.  Implied …

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Cross-cutting challenges in homotopy theory, knots, and groups

 PI1: Fernando Muro PI2: Juan González-Meneses Abstract: Problems in low-dimensional topology, traditionally linked to group theory, are being currently treated by means of homological methods. In upper dimensions the use of higher categories has led to solutions of long-standing open problems. Higher homotopical structures are being used in such diverse topics as quantum field theories …

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Braids: Knots, Garside Groups and Mapping Class Groups

   PI: Juan González-Meneses Abstract: Braids groups are mathematical objects of particular relevance, as they appear as an important component in several fields of Mathematics, not only in Group theory but also in Knot Theory, Geometric Theory of surface automorphisms, Algebraic Geometry or even Cryptography. This project brings together a team of first level specialists in …

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Spanish Topology Network

   PI: Juan González-Meneses (coordinator) Abstract: The Spanish Topology Network is a 25-years old organization of topologist in Spain, with 10 nodes all around Spain and researchers from around 30 research projects in Topology. It organizes annually the Spanish Topology Meeting, and the Spanish Meeting of Young Topologists.  Source of Funding:  Excellence R+D networks / …

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New math challenges in logistics and integrated transportation problems in complex networks: design and optimization

PI: Justo Puerto Albandoz Abstract: This project addresses new mathematical challenges that appear in the analysis, design and optimization of complex logistics networks and integrated transportation problems. Our goal is to develop models to advance in the management of logistics and integrated transportation networks, the theory of network design, the analysis of intermodality in transportation and …

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