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 Events
Princeton University
Tue 9 Mar 2021, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Online, link available from Sven Bachmann
Electromagnetic-gravitational perturbations of Kerr-Newman spacetime
Online, link available from Sven Bachmann
Tue 9 Mar 2021, 3:30pm-4:30pm

Abstract

The Kerr-Newman spacetime is the most general explicit black hole solution, and represents a stationary rotating charged black hole. Its stability to gravitational and electromagnetic perturbations has eluded a proof since the 80s in the black hole perturbation community, because of the "apparent indissolubility of the coupling between the spin-1 and spin-2 fields in the perturbed spacetime", as put by Chandrasekhar. We will present a derivation of the relevant equations which can be analyzed in physical-space to obtain a quantitative proof of stability.
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UC Irvine
Tue 16 Mar 2021, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ZOOM: TBD
The Bernstein problem for equations of minimal surface type
ZOOM: TBD
Tue 16 Mar 2021, 3:30pm-4:30pm

Abstract

The Bernstein problem asks whether entire minimal graphs in dimension n+1 are necessarily hyperplanes. This problem was solved in combined works of Bernstein, Fleming, De Giorgi, Almgren, and Simons ("yes" if n < 8), and Bombieri-De Giorgi-Giusti ("no" otherwise). We will discuss the analogue of this problem for minimizers of general elliptic functionals. In particular, we will discuss new examples of nonlinear entire graphical minimizers in dimension n = 6, and recent work with Y. Yang towards constructing such examples in the lowest possible dimension n = 4.
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Caltech
Tue 23 Mar 2021, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Online
TBA
Online
Tue 23 Mar 2021, 3:30pm-4:30pm

Abstract


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