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Barcelona Algebraic Topology Group

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Barcelona Algebraic Topology Group
PhD scholarship

A PhD scholarship is available within the research project 'Homotopy Theory of Classifying Spaces and Mapping Spaces' (MTM2013-42293-P) at the Universitat Autònoma de Barcelona.
The deadline for application is September 25, 2014.


Interested candidates should contact Natàlia Castellana or Joachim Kock as soon as possible.


The scholarship is part of the 'National Sub-Programme for Training', within the 'National Programme for the Promotion of Talent and Its Employability' by the Ministry of Research and Innovation. The official information and rules of the scholarship can be found at this link.

 
Friday's Topology Seminar 2014-2015 PDF Print E-mail
Written by Administrator   
Friday, 04 July 2014 08:33

 

Date and place: October 10, 2014. 12:00. CRM, small lecture room.

Speaker : Nguyen The Cuong

Title: On  the algebraic EHP sequence

Abstract: One of the most basic problems in homological algebra is to construct explicit injective (projective) resolutions of modules. We are interested in finding such construction
for the reduced co-homology $\tilde{H}^*(S^n; \mathbb F_2)$ of the spheres $S^n$ in the category of unstable modules U. The pseudo-hyper resolution is developed as an attempt to deal with this problem. The question is at present far from being solved but we manage somehow to archive some interesting properties of minimal injective resolutions
of $\tilde{H}^*(S^n; \mathbb F_2)$ in U. These results provide a new point of view for the problem of computing the E2 page of the unstable Adams spectral sequence converging to homotopy groups of spheres. One of the first applications of these computations, which is also the main goal of this talk, is an elementary reconstruction of the algebraic EHP sequence and an approximation to the sphere of origin question.

 

Date and place: September 26, 2014. 12:00. CRM, small lecture room.

Speaker : Constanze Roitzheim (University of Kent, UK)

Title: Homological Localisation of Model Categories

Abstract: Bousfield localisation with respect to generalised homology theories of either spaces or spectra has proved to be a powerful tool in topology. We present a feasible version of homological localisation for general model categories and show some examples and applications.

Last Updated on Tuesday, 23 September 2014 12:19
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Presentation

This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2009SGR-1092). Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities.

 

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