(4) How to define energies and residues of manifolds (From analysis to geometry)
Friday, June 21, 2019 - 9:00am - 10:00am
Jun O'Hara (Chiba University)
We apply the regularization via analytic continuation to generalized Riesz energies of submanifolds in Euclidean spaces to obtain Brylinski's beta function, which is a meromorphic function with simple poles. We study geometric information that can be derived from Brylinski's beta function.