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DTSTART:20250101T000000
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DTSTART;TZID=Asia/Seoul:20260304T160000
DTEND;TZID=Asia/Seoul:20260304T170000
DTSTAMP:20260416T042349
CREATED:20260201T161246Z
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SUMMARY:Cone structures and conic connections
DESCRIPTION:    Speaker\n\n\nKatharina Neusser\nMasaryk University\n\n\n\n\n\n\nA cone structure on a manifold $M$ is given by a closed submanifold $\mathcal C\subset \mathbb P TM$ of the projectived tangent bundle of $M$\, which is submersive over $M$. Such geometric structures arise naturally in differential and algebraic geometry and they come often equipped with a conic connection\, which specifies a distinguished family of curves on $M$ in directions of $\mathcal C$. In a joint work with Jun-Muk Hwang we defined an important local invariant for so-called characteristic conic connections\, namely the cubic torsion. In this talk I will give a geometric interpretation of the cubic torsion and will discuss some applications. This talk is based on joint work in progress with Andreas Čap.
URL:https://ccg.ibs.re.kr/event/cone-structures-and-conic-connections/
LOCATION:B236\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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