On Prequantization of Log-Symplectic Manifolds
Speaker: Ahmad Reza Haj Saeedi Sadegh, Dartmouth College
Date: October 28, 2025
Abstract: We discuss a new approach to the geometric quantization of log symplectic manifolds using Lie groupoids and Lie algebroids. We will bridge the notion of prequantizability of Crainic for Lie algebroids and the prequantizability defined in the works of Lin-Loizides-Sjamaar-Song, Braverman-Loizides-Song, and Guillemin-Miranda-Weitsman. We then give a generalized geometric quantization method which allows for Poisson manifolds with a more complicated vanishing locus.