Abstract Given a (projective) conifold transition of smooth projective threefolds from $X$ to $Y$, we show that if the Gromov--Witten/Pandharipande--Thomas descendent correspondence holds for the resolution $Y$, then it also holds for the smoothing $X$ with stationary descendent insertions. As applications, we show the correspondence in new cases. This is joint work with Sz-Sheng Wang.About the...
PrerequisiteRepresentation theory of symmetric group, Lie groups and Lie algebrasIntroductionIn this course we will review classical invariant theory, discuss Howe duality for classical Lie groups and its extension to Lie superalgebras.We will use the dualities for classical pairs of Lie groups to pose asymptotic questions. We will study representations of these dual pairs in the limit when ran...