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Title: Measure equivalence of Baumslag-Solitar groups & type III relations

Abstract: At the dawn of the millenium, Whyte completed the quasi-isometry classification of the Baumslag-Solitar groups. The analogous problem of their measure equivalence classification, however, has only seen partial progress. Of note, a decade ago, Kida proved that under certain mixing conditions, no measure equivalence coupling can exist between some of these groups, e.g. BS(2,3) and BS(5,7). In this talk, we conclude the measure equivalence classification and discuss some of the techniques used.

Teatime to follow in the lounge after the talk.

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