Large-genus asymptotics for translation surfaces
Recent Progress in Topological and Geometric Structures in Low Dimensions March 23, 2026 - March 27, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Large-genus asymptotics for translation surfaces
Inspired by the well-studied case of hyperbolic surfaces, we can ask about the expected value of geometric properties of translation surfaces for large genus.
I will give an overview over a few results, most of them related to lengths of saddle connections and hence to Siegel-Veech constants. This is partly based on joint works with Howard Masur and Kasra Rafi.
Large-genus asymptotics for translation surfaces
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