Characteristic conic connections and torsion-free principal connections

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• Jun-Muk Hwang (Institute for Basic Science)
• Friday 13 September 2024, 10:00-11:00
• Seminar Room 1, Newton Institute.

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TWTW01 - Twistors in Geometry & Physics

We explain the notion of a cone structure with a characteristic conic connection, which arises from the theory of minimal rational curves in algebraic geometry. We study the relation between torsion tensors of principal connections on G-structures and characteristic conic connections on associated cone structures. We formulate a sufficient condition under which the existence of a characteristic conic connection implies the existence of a torsion-free principal connection. This sufficient condition holds for adjoint representations of simple Lie algebras different from type A or C. This is a joint work with Qifeng Li.

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

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