Title: On the Yang-Mills functional in Noncommutative Geometry
Speaker: Satyajit Guin (IISER, Mohali)
Date: 25 April 2018
Time: 3 pm
Venue: LH-1, Mathematics Department
Classical geometric notion of the Yang-Mills functional has been generalized to the noncommutative context by A. Connes. In this talk we will see a suitable formulation of “subadditivity” and “additivity” of this action functional under a natural hypothesis on spectral triples, and show that in general the Yang-Mills functional is always subadditive. An instance of additivity will be discussed for the case of noncommutative torus.