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Barcelona Algebraic Topology Group

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Barcelona Algebraic Topology Group
2014 Barcelona Topology Workshop PDF

The Barcelona Topology Workshop is the annual meeting of the Grup de Topologia Algebraica de Barcelona.
The Barcelona Topology Workshop 2014 (BaToWo'14) will take place on the 24-25th October, at the Torre Vila-Puig in the UAB .

Researchers in Algebraic Topology and related topics are encouraged to attend the meeting and participate in the discussions about the actual development of the subject and future prospects. As it is already usual in these meetings the discussions will be motivated by a small number of plenary lectures.

  • Nils Baas (Norwegian University of Science and Technology, Trondheim)
  • Alberto Gavira-Romero (Málaga)
  • Gerd Laures (Ruhr Universität, Bochum)
  • Julien Marché (Institut de Mathématiques de Jussieu)
  • Vicente Muñoz (Universidad Complutense de Madrid)
  • Thomas Nikolaus (Universität Bonn)
  • Vesna Stojanoska (Max Planck Institute for Mathematics, Bonn)
  • Alain Valette (Université de Neuchâtel)

More information on the web page

Friday's Topology Seminar 2014-2015 PDF

Date and place: October 17, 2014. 12:00. CRM, small lecture room.

Speaker : Assaf Libman (University of Aberdeen)

Title: On homotopy groups of the spaces of self equivalences of
equivariant spheres.

Abstract: It is a classical result that the n-th homotopy group of the space of self equivalences of the spheres $S^k$ where k=1,2,3,... stabilizes (on the n-th stable homotopy group of the spheres). Note that $S^k$ is the $k$-fold join of $S^1$.
An equivariant version of this question is: Suppose a finite group $G$ acts on a sphere $S^d$. What can one say about the n-th homotopy groups of the space of equivariant self equivalences of the k-fold joint of $S^r$ where $r=1,2,3,...$. The case when $S^r$ is a linear sphere will be studied.

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.


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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