BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

The interaction of the horocycle flow and the rel foliation, and stability conditions for triangulated categories Weiss, Barak

Description

The "rel surgery" (also referred to as kernel foliation, Schiffer variation, absolute period foliation) give rises to an almost-everywhere defined flow which commute with the horocycle flow. In a recent work with Matt Bainbridge and John Smillie, the rel surgery was used in order to construct and classify horocycle invariant measures in the eigenform locus. In another recent work with Pat Hooper, the horocycle flow was used to classify closures of rel leaves. While the results are different, there are certain common aspects to the arguments and certain common difficulties to address.

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