Crystals arising from the geometry of spectral curves (Yan ZHOU, Tsinghua University)

13.01.2026 15:30 – 16:30

We associate a family of classical spectral curves to certain quantum differential equations with irregular singularities. In a maximally degenerate scaling regime—the caterpillar limit—these curves admit a global description governed by Gelfand–Tsetlin patterns. Using periods of natural cycles on the curves, we explain how the type A crystal operators on GT patterns arise geometrically, and how this picture connects to BPS states and spectral networks. Joint work in progress with Andrew Neitzke and Xiaomeng Xu.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre