Speaker
Rita Teixeira da Costa, University of Cambridge
Abstract
We discuss a proof of uniform boundedness and decay statements for solutions to the Maxwell equations on Kerr black holes. The proof is unconditional in the full subextremal family \(|a| < M\), in view of earlier joint work with Yakov Shlapentokh-Rothman. For extremal Kerr \((|a| = M)\), it is conditional on a conjecture for the spin \(\pm 1\) Teukolsky equations, motivated by work of Gajic and Casals–Gralla–Zimmerman. This is joint work with Gabriele Benomio (GSSI).