Algebraic Geometry Seminar
Miguel Moreira
ETH Zurich
Virasoro constraints in sheaf theory
Abstract: Virasoro constraints for Gromov-Witten invariants have a rich history tied to the very beginning of the subject. Recently, Virasoro constraints for moduli spaces of stable pairs on 3-folds were found using the Gromov-Witten/Stable pairs correspondence. This discovery led to a new study of such constraints for integrals of descendents in different moduli of sheaves. This talk will be based on joint work with A. Bojko and W. Lim, where we propose a general conjecture and fit the Virasoro operators in the vertex algebra Joyce recently introduced to study wall-crossing. We then use this framework to show compatibility between the constraints and wall-crossing. As an application, we prove that Virasoro holds for moduli of stable sheaves on curves and surfaces with h^{0,1}=h^{0,2}=0.
Monday September 19, 2022 at 3:00 PM in Zoom