Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Marc Stephan
MPI für Mathematik, Bonn

 
spricht am
 
Montag, 1. Juli 2019
 
um
 
17:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

» Nonrealizable equivariant chain complexes«

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 2n. 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 that the answer is negative, based on multiplicative properties of the spectral sequence obtained by filtration with powers of the augmentation ideal. This is joint work with Henrik Rüping.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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