Seminar:
Analysis
Event time:
Thursday, February 15, 2024 - 4:00pm
Location:
KT 801
Speaker:
Allen Juntao Fang
Speaker affiliation:
Princeton University- University of Munster
Event description:
Black hole stability has seen numerous important developments in the past decade. In my talk, I will focus on the nonlinear stability of the slowly-rotating Kerr-de Sitter family. Nonlinear stability of the slowly-rotating Kerr-de Sitter family was first proven by Hintz and Vasy in 2016 using microlocal techniques. In my talk, I will present a new proof of the nonlinear stability of slowly-rotating Kerr-de Sitter spacetimes that utilizes the vectorfield method to uncover the high-frequency spectral gap in Kerr-de Sitter, connecting the physical-space and frequency-space approaches. The proof also uses a new scheme to prove nonlinear stability, avoiding Nash-Moser.
Research Area(s):
Analysis & PDE
Special note:
Seminar talk is supported in part by the Mrs. Hepsa Ely Silliman Memorial Fund.