Algebraic geometry | Unsolved problems in geometry | Conjectures

Virasoro conjecture

In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety is fixed by an action of half of the Virasoro algebra. The Virasoro conjecture is named after theoretical physicist Miguel Ángel Virasoro. Tohru Eguchi, Kentaro Hori, and Chuan-Sheng Xiongproposed the Virasoro conjecture as a generalization of Witten's conjecture. Ezra Getzler gave a survey of the Virasoro conjecture. (Wikipedia).

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From playlist Mathematics

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From playlist Mathematics

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Gromov–Witten Invariants and the Virasoro Conjecture (Remote Talk) by Ezra Getzler

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Noah Arbesfeld: A geometric R-matrix for the Hilbert scheme of points on a general surface

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Related pages

Gromov–Witten invariant | Virasoro algebra | Projective variety | Algebraic geometry | Singular point of an algebraic variety | Generating function