PI1: Antonio ViruelPI2: Aniceto Murillo Abstract: The aim of this project is to study higher structures in both Differential Geometry and Homotopy Theory. So we plan to attain the following goals: (O1): On L-infinite algebras: We give a completely new approach to rational homotopy theory from the Quillen framework which extends his theory and will …
Higher structures in Differential Geometry and Homotopy Theory Leer más »
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 …
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 …
Cross-cutting challenges in homotopy theory, knots, and groups Leer más »
PI1: Antonio Rojas LeónPI2: Luis Narváez Macarro Abstract: The scientific proposal of this project is structured in three main research lines. There is a close relationship between these three lines, especially in their recent developments, and in our project we explore this relationship via some cross-cutting goals and a working group. (A) Arithmetic geometry: elliptic curves, …
