Plenary talk of Yasuaki Hiraoka at the Applied Topology 2025 conference скачать в хорошем качестве

Plenary talk of Yasuaki Hiraoka at the Applied Topology 2025 conference

Title: Geometric construction of Kashiwara crystals on multiparameter persistence Abstract: We establish a geometric construction of Kashiwara crystals on the irreducible components of the varieties of multiparameter persistence modules. Our approach differs from the seminal work of Kashiwara and Saito, as well as subsequent related works, by emphasizing commutative relations rather than preprojective relations for a given quiver. Furthermore, we provide explicit descriptions of the Kashiwara operators in the fundamental cases of 1- and 2-parameter persistence modules, offering concrete insights into the crystal structure in these settings.