Andrea Malchiodi (Centro De Giorgi, SNS Pisa) – The Weyl functional on connected sums of four-manifolds
- Date
- @ Roger Stevens Lecture Theatre 15, 15:00
- Location
- Roger Stevens Lecture Theatre 15
- Speaker
- Andrea Malchiodi
- Affiliation
- Centro De Giorgi, SNS Pisa
- Notes
- Note the unusual room!
- Category
- Geometry and Analysis
Notes: Note the unusual room!.
The Weyl energy on four-manifolds is a geometric functional related to the Chern-Gauss-Bonnet formula. Similarly to Willmore’s functional for surfaces embedded in the three-dimensional Euclidean space, it enjoys conformal invariance properties. We are interested in the interaction of the Weyl’s functionals of two manifolds under the operation of connected sum, showing conditions that decrease the energy.
Such estimates might be useful in understanding compactness properties of minimizing or critical families of metrics.
This is based on a joint project with Matt Gursky and Francesco Malizia.