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Barcelona Algebraic Topology Group
Friday's Topology Seminar 2016-2017 PDF Print E-mail
Written by Natàlia Castellana Vila   
Thursday, 15 September 2016 12:00

Date and Place: September 30th 10h45, CRM room A1
Rosona Eldred (WWU Münster)
Brave new deRham Complex

In joint work with Bauer, Johnson and McCarthy, we use the recently developed unbased calculus of functors to provide a good model for the deRham complex for commutative ring spectra, conjectured originally by Waldhausen, and show it is equivalent to a cosimplicial model proposed by Rezk. In this talk, I will have time to give a quick introduction to the calculus of functors, say broadly the relationship between the deRham complex and functor calculus, and why the development of the unbased calculus was a necessary step, as well as some future directions. The calculations will be more algebraic than homotopy-theoretic, so should be comfortable for a broad audience.

Date and Place: September 30th 12h00, CRM room A1
Luis Javier Hernández Paricio (Universidad de La Rioja)
Postnikov factorizations for shape and proper homotopy theory

Abstract: (joint work with  J. I. Extremiana y M. T. Rivas)
In this talk we present  Postnikov sections for Brown-Grossman homotopy groups and for Steenrod homotopy groups in the  category of exterior spaces. The homotopy fibre of one of these decompositions is a Elilemberg-Mac Lane with respect one of this family of homotopy groups and it has two possible non-trivial consecutive homotopy groups with respect the other family.
Some applications are given to proper homotopy theory and shape theory.

Last Updated on Friday, 23 September 2016 09:34

This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2014SGR-42 and Homotopy theory of classifying spaces and function complexes, MTM2013-42293-P).

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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