Princeton University

Tue 9 Mar 2021, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Online, link available from Sven Bachmann

Electromagneticgravitational perturbations of KerrNewman spacetime

Online, link available from Sven Bachmann
Tue 9 Mar 2021, 3:30pm4:30pm
Abstract
The KerrNewman 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 spin1 and spin2 fields in the perturbed spacetime", as put by Chandrasekhar. We will present a derivation of the relevant equations which can be analyzed in physicalspace 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, 3:30pm4:30pm
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 BombieriDe GiorgiGiusti ("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, 3:30pm4:30pm
Abstract
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