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The University of Southampton
Mathematical Sciences

Pure Maths Seminar - Finiteness conditions for profinite groups with positive probability, Dr Ged Corob-Cook (University of the Basque Country, Bilbao, Spain) Seminar

Pure Seminar
Time:
15:00 - 17:00
Date:
20 June 2018
Venue:
Room 10031, Lecture Theatre 10C, Building 54, Mathematical Sciences, University of Southampton, Highfield Campus, SO17 1BJ

For more information regarding this seminar, please email Peter Kropholler at P.H.Kropholler@southampton.ac.uk .

Event details

A profinite group G is called positively finitely generated if, for some n, it is generated by n random elements with positive probability. This gives information about the generation of the finite quotients of G. Similarly to the usual condition of being finitely generated, we can define and study higher analogues like being positively finitely presented and positively of type FP_n. I will talk about my work on these higher conditions, what we know so far, and some open questions in this area.

Speaker information

Dr Ged Corob Cook, University of the Basque Country, Bilbao, Spain. Ged is a post-doctoral researcher of mathematics at the University of the Basque Country, studying homotopical algebra in the context of topological groups. His recent work has been in developing new homotopy-theoretic tools for studying topological groups, to mirror those available for abstract groups. Most recently he has used this approach to define and construct Eilenberg-MacLane spaces for locally compact, totally disconnected groups.

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