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Seminar

Patterson-Sullivan measures for non-Borel Anosov groups on the Furstenberg boundary April 27, 2026 (02:00 PM PDT - 03:00 PM PDT)
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Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Andrew Zimmer (University of Wisconsin-Madison)
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In this talk I will discuss existence, uniqueness, and ergodicity results for Patterson-Sullivan measures on the Furstenberg boundary under arbitrary Anosov conditions. Previously a theory of such measures for Anosov groups has been successfully developed for measures supported on the partial flag manifold associated to the Anosov condition, which coincides with the Furstenberg boundary only under the strongest Anosov condition, Borel Anosov. 

I will also discuss one of the key tools we develop: a new sufficient condition for the existence of a measurable boundary map associated to a Zariski dense representation. This boundary map result also applies to mapping class groups and discrete subgroups of the isometry groups of Gromov hyperbolic spaces.



This is joint work with Dongryul Kim.

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