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The size of conjugacy classes of automorphism groups

Presented by: 
Z Vidnyánszky [Alfréd Rényi Institute of Mathematics]
Date: 
Friday 28th August 2015 - 14:00 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
The automorphism groups of Fraissé limits are usually interesting objects both from group theoretic and set theoretic viewpoint. However, these groups are often non-locally compact, hence there is no natural translation invariant measure on them. Christensen introduced the notion of Haar null sets in non-locally compact Polish groups which is a well-behaved generalisation of the null ideal to such groups. In my talk I will present some new results concerning the size of the conjugacy classes of automorphism groups of Fraisse limits with respect to this notion.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons