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The size of conjugacy classes of automorphism groups

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

The automorphism groups of Fraiss 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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