Higher-rank skein algebras and its graded quotients

開催日時
2025/04/15 火 15:00 - 16:30
場所
6号館609号室
講演者
湯淺 亘
講演者所属
大阪公立大学数学研究所
概要

For a semisimple Lie algebra g and a marked surface Σ, the g-skein algebra is a noncommutative algebra generated by g-webs on Σ subject to the g-skein relations. A g-web is a trivalent graph embedded in Σ×[0,1], with edges colored by fundamental representations of g.
In this talk, we focus on the case g=sp4 and introduce a filtration of the g-skein algebra associated with an ideal triangulation. We also discuss a relationship between its associated graded algebra and an sp4-lamination on Σ. This talk is based on joint work with T. Ishibashi and Z. Sun.