Venue
Seminar Room, School of Mathematical Sciences
Speaker
Jyotishman Bhowmick
Affiliation
ISI Kolkata
Title
On the notions of connections and curvature in noncommutative geometry
One of the objectives of Noncommutative Geometry is to study operator algebras through differential geometric techniques. The geometric data associated to an operator algebra is a spectral triple. We will describe the construction of the space of forms coming from the spectral triple. Then we will discuss the question of existence and uniqueness of Levi-Civita connections for a spectral triple. Based on a joint work with D. Goswami and S. Joardar.