Higher Rank Orbit Closures in Genus 3

Higher Rank Orbit Closures in Genus 3

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David Aulicino, University of Chicago
Fine Hall 601

The moduli space of translation surfaces is stratified by the orders of the zeros of Abelian differentials. We classify GL^+(2,R) orbit closures in the strata of translation surfaces in genus 3 with at most two zeros, with the property that they have rank 2 (in the sense of Alex Wright).   This is joint work with Duc-Manh Nguyen and Alex Wright.