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SUMMARY:Taut smoothings and shortest geodesics - Macarena Arenas (Universi
 ty of Cambridge)
DTSTART:20250710T091500Z
DTEND:20250710T101500Z
UID:TALK234043@talks.cam.ac.uk
DESCRIPTION:In this talk we will discuss the connection between combinator
 ial properties of minimally self-intersecting curves on a surface S and th
 e geometric behaviour of geodesics on S when S is endowed with a Riemannia
 n metric. In particular\, we will explain the interplay between a smoothin
 g\, which is a type of surgery on a curve that resolves a self-intersectio
 n\, and k-systoles\, which are shortest geodesics having at least k self-i
 ntersections\, and we will present some results that partially elucidate t
 his interplay. This is joint work with Max Neumann-Coto.\nThere will be lo
 ts of pictures.
LOCATION:Seminar Room 1\, Newton Institute
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