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Taut smoothings and shortest geodesics

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NPCW06 - Non-positive curvature and applications

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 is joint work with Max Neumann-Coto. There will be lots of pictures.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Average on weekdays: 8906.67521368 kWh Ryle Large Meeting Room, Kavli Building (Tea at 4.00pm in Hoyle Foyer) Mill Lane Lecture Room 9

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