Chennai Mathematical Institute


Topic: CMI Mathematics Seminar
Date: Wednesday, June 2, 2021.
Time: 3:30 PM.
Group Actions in Noncommutative Geometry

Safdar Quddus


Historically it is well known that group action changes the homological, differential and topological properties of manifolds. The aim of this talk is to discuss the action of some finite groups on some non-commutative differential and algebraic spaces. We shall firstly discuss the (co)homological properties of non-commutative and quantum torus then observe how the quotient spaces resulting from the actions of finite subgroups of $SL(2, \mathbb Z)$ behave. We thereafter discuss the homological properties of the quotients arising through the flip actions on the non-commutative Podles’ sphere.