Séminaires : Séminaire d'Algèbre

Celebrated work of Bridgeland and Smith shows a correspondence between quadratic differentials on Riemann surfaces and stability conditions on certain 3-Calabi--Yau triangulated categories. Part of this correspondence is that finite-length trajectories of the quadratic differential correspond to stable objects of phase 1. Speaking roughly, these stable objects are then counted by an associated Donaldson--Thomas invariant. Work of Iwaki and Kidwai predicts particular values for these Donaldson--Thomas invariants according to the different types of finite-length trajectories, based on the output of topological recursion. We show that the category recently studied by Christ, Haiden, and Qiu produces Donaldson--Thomas invariants matching these predictions. This is joint work with Omar Kidwai.

This talk will take place in hybrid mode at the Institut Henri Poincaré.