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SUMMARY:Hans Ringström (KTH Stockholm)
DTSTART;VALUE=DATE-TIME:20201001T133000Z
DTEND;VALUE=DATE-TIME:20201001T143000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102339Z
UID:jomarec/1
DESCRIPTION:Title: On highly anisotropic big bang singularities\nby Hans R
ingström (KTH Stockholm) as part of JoMaReC - Joint Online Mathematical R
elativity Colloquium\n\n\nAbstract\nIn cosmology\, the universe is typical
ly modelled by spatially homogeneous and isotropic solutions to Einstein
’s equations. However\, for large classes of matter models\, such soluti
ons are unstable in the direction of the singularity. For this reason\, it
is of interest to study the anisotropic setting. \n\nThe purpose of the t
alk is to describe a framework for studying highly anisotropic singulariti
es. In particular\, for analysing the asymptotics of solutions to linear s
ystems of wave equations on the corresponding backgrounds and deducing inf
ormation concerning the geometry.\n\nThe talk will begin with an overview
of existing results. This will serve as a background and motivation for th
e problem considered\, but also as a justification for the assumptions def
ining the framework we develop. Following this overview\, the talk will co
nclude with a rough description of the results.\n
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SUMMARY:Greg Galloway (University of Miami)
DTSTART;VALUE=DATE-TIME:20201105T143000Z
DTEND;VALUE=DATE-TIME:20201105T153000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102339Z
UID:jomarec/2
DESCRIPTION:Title: Initial data rigidity results\nby Greg Galloway (Univer
sity of Miami) as part of JoMaReC - Joint Online Mathematical Relativity C
olloquium\n\n\nAbstract\nWe present several rigidity results for initial d
ata sets motivated by the positive mass theorem. An important step in our
proofs is to establish conditions that ensure that a marginally outer trap
ped surface is “weakly outermost”. A rigidity result for Riemannian ma
nifolds with a lower bound on their scalar curvature is included as a spec
ial case. Relevant background on marginally outer trapped surfaces will b
e discussed. This talk is based on joint work with Michael Eichmair and Ab
raão Mendes.\n
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SUMMARY:Lydia Bieri (University of Michigan\, Ann Arbor)
DTSTART;VALUE=DATE-TIME:20201203T143000Z
DTEND;VALUE=DATE-TIME:20201203T153000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102339Z
UID:jomarec/3
DESCRIPTION:by Lydia Bieri (University of Michigan\, Ann Arbor) as part of
JoMaReC - Joint Online Mathematical Relativity Colloquium\n\nAbstract: TB
A\n
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