Andrey Krutov - Nichols algebras and quantum principal bundles

In this Prague seminar, Andrey Krutov from IM Czech Academy of Science presents sufficient conditions allowing to associate to a homogeneous quantum principal bundle a Yetter--Drinfeld module structure on the cotangent space of the base calculus. The holomorphic and anti-holomorphic Heckenberger--Kolb calculi of the quantum Grassmannians are then introduced in this framework. These calculi are eventually expressed as Nichols algebras, whose notion is recalled in the beginning of the talk.

Видео Andrey Krutov - Nichols algebras and quantum principal bundles автора Случай тайн