Agnese Mantione:
Positive scalar curvature and 2-type: an analysis via the Gromov--Lawson--Rosenberg conjecture.
Time and place
Monday, 23.1.23, 16:15-17:15, Hörsaal II, Albertstr. 23b
Abstract
I will talk about a conjecture that claims the PSC space of a (spin) manifold only depends on its 2-type. In particular, focusing on fundamental groups that satisfy the Gromov--Lawson--Rosenberg conjecture one can obtain positive results in certain cases. The latter conjecture claims that the non-vanishing of a certain cobordism invariant represents a total obstruction to positive scalar curvature. Index theory and surgery theory are at the base of the whole argument.