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.
proposed the Virasoro conjecture as a generalization of Witten's conjecture. gave a survey of the Virasoro conjecture.
The proof of the genus 0 Virasoro conjecture for all smooth projective varieties was first given by Xiaobo Liu and Gang Tian.