Theoretical Statistics and Mathematics Unit, ISI Delhi

September 2, 2015 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Satyajit Guin,
Indian Statistical Institute Delhi

Title:
On the differential calculi of Connes and Frohlich et al in Noncommutative Geometry

Abstract of Talk

In the noncommutative geometry programme of Connes, Spectral triple generalizes the classical notion of manifolds. Associated to any spectral triple there are two differential calculi due to Connes and Frohlich et al. Restricted to the classical case of manifolds both these calculi coincide with the de-Rham calculus. Thus both Connes' and Frohlich's calculus generalizes the de-Rham calculus. Therefore it is natural to ask which one is better generalization to noncommutative set up. We will see a comparison between these two calculi, and establish Connes' calculus as better noncommutative generalization of the de-Rham calculus.