CIMPA 2020 El Salvador


Algebraic Methods in Topology 


Important announcement: Due to the coronavirus pandemic (COVID-19), the dates of realization of the School haven been delayed to July 11-22, 2022. The  corresponding deadlines for registration and/or financial support have not been decided yet. Please remain attentive for further notification. 

On-site CIMPA School “Algebraic Methods in Topology”, El Salvador, July 11-22, 2022. 

This School will be held at the Mathematics Department of the School of Natural  Sciences and Mathematics of the University of El Salvador, San Salvador, El  Salvador, from July 11 to 22, 2022. 

The main goal of this School is to provide the participants with some elements of the  methods and techniques of Algebra applied to Topology as initiated by H. Poincaré at  the end of the nineteenth century. The School will provide students from Central  America and neighboring countries with an introduction to this subject. 

This School consists in 6 mini-courses and 3 talks covering foundational topics in  Algebra and Topology. This School is aimed for senior-undergraduate math students, graduate math students, and math researchers.

The official languages are English and Spanish. 


  1. Topology of function spaces (Language: Spanish).
  2. Categories and modules (Language: Spanish).
  3. Algebraic topology from a homotopical viewpoint (Language: Spanish). 4. The -categorical point of view for Thom spectra (Language: English). 5. Foundations of homological algebra applied to modules (Language: English). 6. Algebraic K-Theory and connections to Topology (Language: English).


  1. Commutativity of Lie groups.
  2. Complete Intersection Injective Dimensions.
  3. Some non-associative algebraic structures in Low dimensional topology.


Online CIMPA Pre-School “Algebraic Methods in Topology”, December 14-19, 2020. This Pre-School consisted in 4 online mini-courses covering foundational topics as  preparation for the School. Information about this Pre-School here(link página pre escuela, link a canal de youtube).

Opening talk (Language: Spanish). 

Online mini-courses: 

  1. Foundations of Homotopy Theory (Language: Spanish).
  2. Introduction to Abelian Groups and Modules (Language: Spanish). 3. An introduction to Stable Homotopy Theory (Language: Spanish). 4. Foundations of Module Theory (Language: English).