seminar: Topological dichotomy and strict ergodicity for translation surfaces

speaker: Howard Masur (Brown University of Illinois at Chicago)

abstract: A lattice translation surface has the property (Veech dichotomy) that for every direction the flow is either completely periodic or minimal. This property we call topological dichotomy. Furthermore every minimal direction is uniquely ergodic. This property we call strict ergodicity. We investigate the converse. If a surface is not a lattice surface then what can be said? We answer this question completely in genus 2 and also present an example in higher genus. This represents joint work with Yitwah Cheung and Pascal Hubert.

timetable:
Tue 29 May, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
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