Seminario: “PFG, PRF and probabilistic finiteness properties of profinite groups”

Lunedì 11 Marzo 2019, ore 11:30 - Aula 1C150 - Matteo Vannacci


Lunedì 11 Marzo 2019 alle ore 11:30 in Aula 1C150, Matteo Vannacci (Heinrich-Heine Universität Düsseldorf) terrà un seminario dal titolo “PFG, PRF and probabilistic finiteness properties of profinite groups”.

A profinite group G equipped with its Haar measure is a probability space and one can talk about “random elements” in G. A profinite group G is said to be positively finitely generated (PFG) if there is an integer k such that k Haar-random elements generate G with positive probability. I will talk about a variation of PFG, called “positive finite relatedness” (PFR) for profinite groups. Finally I will survey some recent work-in-progress defining higher probabilistic homological finiteness properties (PFP_n), building on PFG and PFR. This is joint work with Ged Corob Cook and Steffen Kionke.