Speaker: Yunhe Sheng (Jilin University, Changchun, China)

Title: Leibniz 2-algebras, linear 2-racks and the Zamolodchikov Tetrahedron equation

Date and time:  9.07.2025, 17:00 (GMT +03:00)

Abstract: First we show that a central Leibniz 2-algebra naturally gives rise to a solution of the Zamolodchikov Tetrahedron equation. Then we introduce the notion of linear 2-racks and show that a linear 2-rack also gives rise to a solution of the Zamolodchikov Tetrahedron equation. We show that a central Leibniz 2-algebra gives rise to a linear 2-rack if the underlying 2-vector space is splittable. Finally we discuss the relation between linear 2-racks and 2-racks, and show that a linear 2-rack gives rise to a 2-rack structure on the group-like category. A concrete example of strict 2-racks is constructed from an action of a strict 2-group.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com