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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
Speaker:
Rosona Eldred (WWU Münster)
Title:
Brave new deRham Complex

Abstract:
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
Speaker:
Luis Javier Hernández Paricio (Universidad de La Rioja)
Title:
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
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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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