Universität Augsburg
|
Dr. Marc Stephan
MPI für Mathematik, Bonn
spricht am
Montag, 1. Juli 2019
um
17:00 Uhr
im
Raum 2004 (L1)
über das Thema:
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).