LEVI-CIVITA CONNECTIONS ON TAME DIFFERENTIAL CALCULI

The notion of tame spectral triples and that of Levi-Civita connections defined on them will be presented. We will discuss a result on the existence and uniqueness of these Levi-Civita connections, along with examples at our disposal. We will conclude with a report of further developments on a class of differential calculi that have since come to be known as tame differential calculi. This talk is based on a joint work with Jyotishman Bhowmick and Debashish Goswami, and a subsequent one with Suvrajit Bhattacharjee and Soumalya Joardar.