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Barcelona Algebraic Topology Group
Friday's Topology Seminar 2018-19 PDF Print E-mail
Written by Natàlia Castellana Vila   
Friday, 30 November 2018 14:12

Speaker: Marc Stephan (MPI, Bonn)
Title: A multiplicative spectral sequence for free p-group actions
Place:
Room Seminar C3b
Date: Friday May 24th, 12h-13h

Abstract: Carlsson conjectured that if a finite CW complex admits a free action by an elementary abelian p-group G of rank n, then the sum of its mod-p Betti numbers is at least 2^n. In 2017, Iyengar and Walker constructed equivariant chain complexes that are counterexamples to an algebraic version of Carlsson’s conjecture. This raised the question if these chain complexes can be realized topologically by free G-spaces to produce counterexamples to Carlsson’s conjecture. In this talk, I will explain multiplicative properties of the spectral sequence obtained by filtering the mod-p cochains of a space with a free p-group action by powers of the augmentation ideal and deduce that the counterexamples can not be realized topologically. This is joint work with Henrik Rüping.

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Last Updated on Friday, 17 May 2019 10:25
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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 algebraic structures, MTM2016-80439-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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