Speaker: Hongyi Sheng (Westlake University)
Time: 14:30-15:30, Oct 9, 2025
Venue: room 1329, Building 1 (Section A), New Campus, Shanghai Institute for Advanced Studies, USTC & Tencent Meeting ID: 942 663 0176, password: 202501
Gluing constructions of initial data sets play an important role in general relativity. Earlier in 1979, Schoen-Yau used gluing constructions with conformal deformations as a crucial step in their proof of the famous positive mass theorem. Corvino later refined this approach by introducing localized deformations that preserve the manifold's asymptotic structure.
In this talk, I will survey recent theorems on localized deformation and their applications regarding rigidity and non-rigidity type results. I then outline extensions of these results to manifolds with boundary, including asymptotically flat regions outside black-hole horizons, and conclude with a brief discussion of the analytic challenges that arise in this boundary setting.
For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html
