Uploaded July 2020 | Updated September 2026, 3 weeks ago
Abstract: In this talk, I will report on the study of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study of the integral of 2 of the Schouten tensor which is the part of integrand of the Chern-Gauss-Bonnet formula module the L2 part of the Weyl curvature. I will also describe the relevance of a 4-th order linear operator (part of the family of GJMS operator) with conformally covariant property in the study of the fully non-linear equation under conformal change of metrics.
This lecture was held January 11, 2019 in Pittsburgh (USA) at Carnegie Mellon University in connection with the last Abel Committee meeting of the year. You can view the full programme here:
https://events.mcs.cmu.edu/abel2019/program/
Abstract: In this talk, I will report on the study of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study of the integral of 2 of the Schouten tensor which is the part of integrand of the Chern-Gauss-Bonnet formula module the L2 part of the Weyl curvature. I will also describe the relevance of a 4-th order linear operator (part of the family of GJMS operator) with conformally covariant property in the study of the fully non-linear equation under conformal change of metrics.
This lecture was held January 11, 2019 in Pittsburgh (USA) at Carnegie Mellon University in connection with the last Abel Committee meeting of the year. You can view the full programme here:
https://events.mcs.cmu.edu/abel2019/program/
