Moduli space of decorated G-local systems and skein algebras

Abstract: The moduli space of decorated (twisted) G-local systems on a marked surface, originally introduced by Fock–Goncharov, is known to have a natural cluster K_2 structure. In particular, it admits a quantization via the framework of quantum cluster algebras, due to Berenstein—Zelevinsky and Goncharov—Shen. In this talk, I will explain its (in general conjectural) relation to the skein algebras. This talk is based on joint works with Hironori Oya, Linhui Shen and Wataru Yuasa.

mathematical physicsalgebraic geometrygeometric topologyquantum algebra

Audience: researchers in the discipline

Geometry, Algebra and Physics at KIAS