Taut surgeries on curves and shortest geodesics

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• Macarena Arenas (Cambridge)
• Wednesday 24 January 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

In this talk we will discuss the connection between combinatorial properties of minimally self-intersecting curves on a surface S and the geometric behaviour of geodesics on S when S is endowed with a Riemannian metric. In particular, we will explain the interplay between a smoothing, which is a type of surgery on a curve that resolves a self-intersection, and k-systoles, which are shortest geodesics having at least k self-intersections, and we will present some results that partially elucidate this interplay.

This talk is part of the Differential Geometry and Topology Seminar series.

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