Werner Thuman (Karlsruhe): Operad groups - a new framework for Thompson-Esque groups. (Oberseminar Topologie)
Monday, 05.01.2015 14:00 im Raum N3
In this talk I want to present a class of groups which contains the
classical Thompson groups F and V as well as a lot of other Thompson-like
groups which have been studied in the literature so far. The main device to
define these groups are discrete operads, i.e. operads in the category of sets.
The main motivation for introducing them is to provide a general as possible
framework to investigate topological finiteness properties of Thompson-like
groups, most notably property type F1. I will present a result in this direction
which I have obtained in my PhD thesis and which generalizes several existing
proofs. If time permits, I will also discuss results concerning group homology.
This yields corollaries for l2-homology which are in some sense connected to
Gromov's zero-in-the-spectrum conjecture.
Angelegt am 09.12.2014 von Anja Böckenholt
Geändert am 09.12.2014 von Anja Böckenholt
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