BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Instability phenomena for the Einstein-Lichnerowicz equation (shor
t talk)
DTSTART;VALUE=DATE-TIME:20150930T102000Z
DTEND;VALUE=DATE-TIME:20150930T110000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2320@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bruno PREMOSELLI (Université de Cergy-Pontoise)\nTh
e stability of the Einstein-Lichnerowicz equation is defined as the contin
uous dependence of the set of its positive solutions in the choice of the
background physics data of the conformal method. When the conditions ensur
ing stability fail\, surprising phenomena can arise\, such as the existenc
e of an infinite number of concentrating positive solutions. In this talk
we will investigate some of these instability phenomena for the Einstein-L
ichnerowicz equation when a non-trivial scalar field is present.\n\nhttps:
//indico.math.cnrs.fr/event/663/contributions/2320/
LOCATION:University of Montpellier Lecture room SC 10.01\, building #10\,
Science Campus
URL:https://indico.math.cnrs.fr/event/663/contributions/2320/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Horizons in General Relativity (lecture 2)
DTSTART;VALUE=DATE-TIME:20150929T130000Z
DTEND;VALUE=DATE-TIME:20150929T140000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2321@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Eichmair (Universität Wien)\nIn the first t
wo lectures I will describe the basic results on the significance\, existe
nce\, and properties of apparent horizons (or more precisely “marginally
outer trapped surfaces”) in initial data sets. Taking into account the
preferences of the audience\, I will then sketch the proofs of one or two
fundamental results in mathematical relativity that build on this theory.
The possibilities include the minimal surface proof of the Riemannian posi
tive energy theorem\, the marginally outer trapped surface proof of the sp
acetime positive mass theorem\, and the existence of black holes due to co
ndensation of matter.\n\nhttps://indico.math.cnrs.fr/event/663/contributio
ns/2321/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2321/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the notion of quasi local mass in General Relativity (lecture 2
)
DTSTART;VALUE=DATE-TIME:20150929T100000Z
DTEND;VALUE=DATE-TIME:20150929T110000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2322@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mu-Tao Wang (Columbia University\, NY)\nContents:\n
(1) New definition of quasi-local energy. \n (2) Isometric embedding i
nto the Minkowski space.\n (3) The proof of positivity.\n\nA set of note
s is provided for the 4 lectures in the Abstracts section\n\nhttps://indic
o.math.cnrs.fr/event/663/contributions/2322/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2322/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the mathematical theory of black holes (lecture 2)
DTSTART;VALUE=DATE-TIME:20150929T074500Z
DTEND;VALUE=DATE-TIME:20150929T084500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2323@indico.math.cnrs.fr
DESCRIPTION:Speakers: Piotr Chrusciel (University of Vienna)\nIn the lectu
res I plan to discuss the geometry of spherically symmetric black holes\,
that of the Kerr black hole\,\nand of the Emperan-Reall black rings. Confo
rmal and projection diagrams will be discussed\, and some elements of the
theory of uniqueness of stationary black holes will be presented. \n\nThe
lectures will be based on selected chapters of the monograph "Geometry of
black holes"\, available at http://homepage.univie.ac.at/piotr.chrusciel/t
eaching/Black%20Holes/BlackHolesViennaJanuary2015.pdf\n\nhttps://indico.ma
th.cnrs.fr/event/663/contributions/2323/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2323/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the notion of quasi local mass in General Relativity (lecture 3
)
DTSTART;VALUE=DATE-TIME:20150929T143000Z
DTEND;VALUE=DATE-TIME:20150929T153000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2324@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mu-Tao Wang (Columbia University\, NY)\nContents:\n
(1) Variation of quasi-local energy.\n (2) The optimal embedding equat
ion.\n (3) Solving the optimal isometric embedding equation at spatial a
nd null infinity.\n\nA set of notes is provided for the 4 lectures in the
Abstracts section.\n\nhttps://indico.math.cnrs.fr/event/663/contributions/
2324/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2324/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Horizons in General Relativity (lecture 3)
DTSTART;VALUE=DATE-TIME:20150930T130000Z
DTEND;VALUE=DATE-TIME:20150930T140000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2325@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Eichmair (Universität Wien)\nIn the first t
wo lectures I will describe the basic results on the significance\, existe
nce\, and properties of apparent horizons (or more precisely “marginally
outer trapped surfaces”) in initial data sets. Taking into account the
preferences of the audience\, I will then sketch the proofs of one or two
fundamental results in mathematical relativity that build on this theory.
The possibilities include the minimal surface proof of the Riemannian posi
tive energy theorem\, the marginally outer trapped surface proof of the sp
acetime positive mass theorem\, and the existence of black holes due to co
ndensation of matter.\n\nhttps://indico.math.cnrs.fr/event/663/contributio
ns/2325/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2325/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the notion of quasi local mass in General Relativity (lecture 4
)
DTSTART;VALUE=DATE-TIME:20150930T091500Z
DTEND;VALUE=DATE-TIME:20150930T101500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2326@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mu-Tao Wang (Columbia University\, NY)\nContents:\n
(1) Minimizing and rigidity property of critical points of quasilocal en
ergy. \n (2) Quasilocal angular momentum and center of mass and their li
mits at infinity.\n (3) Asymptotically hyperbolic initial data sets. \n\
nA set of notes is provided for the 4 lectures in the Abstracts section\n\
nhttps://indico.math.cnrs.fr/event/663/contributions/2326/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2326/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the mathematical theory of black holes (lecture 3)
DTSTART;VALUE=DATE-TIME:20150930T074500Z
DTEND;VALUE=DATE-TIME:20150930T084500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2327@indico.math.cnrs.fr
DESCRIPTION:Speakers: Piotr Chrusciel (University of Vienna)\nIn the lectu
res I plan to discuss the geometry of spherically symmetric black holes\,
that of the Kerr black hole\,\nand of the Emperan-Reall black rings. Confo
rmal and projection diagrams will be discussed\, and some elements of the
theory of uniqueness of stationary black holes will be presented. \n\nThe
lectures will be based on selected chapters of the monograph "Geometry of
black holes"\, available at http://homepage.univie.ac.at/piotr.chrusciel/t
eaching/Black%20Holes/BlackHolesViennaJanuary2015.pdf\n\nhttps://indico.ma
th.cnrs.fr/event/663/contributions/2327/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2327/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Horizons in General Relativity (lecture 4)
DTSTART;VALUE=DATE-TIME:20151001T074500Z
DTEND;VALUE=DATE-TIME:20151001T084500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2328@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Eichmair (Unversität Wien)\nIn the first tw
o lectures I will describe the basic results on the significance\, existen
ce\, and properties of apparent horizons (or more precisely “marginally
outer trapped surfaces”) in initial data sets. Taking into account the p
references of the audience\, I will then sketch the proofs of one or two f
undamental results in mathematical relativity that build on this theory. T
he possibilities include the minimal surface proof of the Riemannian posit
ive energy theorem\, the marginally outer trapped surface proof of the spa
cetime positive mass theorem\, and the existence of black holes due to con
densation of matter.\n\nhttps://indico.math.cnrs.fr/event/663/contribution
s/2328/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2328/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the notion of quasi local mass in General Relativity (lecture 1
)
DTSTART;VALUE=DATE-TIME:20150928T122000Z
DTEND;VALUE=DATE-TIME:20150928T132000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2329@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mu-Tao Wang (Columbia University\, NY)\nContents:\n
(1) Review of mass and energy in relativity.\n (2) ADM mass and energy
-momentum.\n (3) Various definitions of quasi-local mass.\n\nA set of no
tes is provided for the 4 lectures in the Abstracts section\n\nhttps://ind
ico.math.cnrs.fr/event/663/contributions/2329/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2329/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the mathematical theory of black holes (lecture 1)
DTSTART;VALUE=DATE-TIME:20150928T111500Z
DTEND;VALUE=DATE-TIME:20150928T121500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2330@indico.math.cnrs.fr
DESCRIPTION:Speakers: Piotr Chrusciel (University of Vienna)\nIn the lectu
res I plan to discuss the geometry of spherically symmetric black holes\,
that of the Kerr black hole\,\nand of the Emperan-Reall black rings. Confo
rmal and projection diagrams will be discussed\, and some elements of the
theory of uniqueness of stationary black holes will be presented. \n\nThe
lectures will be based on selected chapters of the monograph "Geometry of
black holes"\, available at http://homepage.univie.ac.at/piotr.chrusciel/t
eaching/Black%20Holes/BlackHolesViennaJanuary2015.pdf\n\nhttps://indico.ma
th.cnrs.fr/event/663/contributions/2330/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2330/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the center of mass in General Relativity (short talk)
DTSTART;VALUE=DATE-TIME:20150929T091500Z
DTEND;VALUE=DATE-TIME:20150929T095500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2331@indico.math.cnrs.fr
DESCRIPTION:Speakers: Carla Cederbaum (Tübingen University)\nIn many situ
ations in Newtonian Gravity\, understanding the motion of the\ncenter of m
ass of a system is key to understanding the general "trend"\nof the motion
of the system. It is thus desirable to also devise a\nnotion of center of
mass with similar properties in General Relativity.\nHowever\, while the
definition of the center of mass via the mass density\nis straightforward
in Newtonian Gravity\, there is a priori no definitive\ncorresponding noti
on in General Relativity. Instead\, there are several\nalternative approac
hes to defining the center of mass of a system. We\nwill discuss some of t
hese different approaches for both asymptotically\nEuclidean and asymptoti
cally hyperbolic systems and present some new\nideas as well as explicit (
counter-)examples.\n\nhttps://indico.math.cnrs.fr/event/663/contributions/
2331/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2331/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Horizons in General Relativity (lecture 1)
DTSTART;VALUE=DATE-TIME:20150928T135000Z
DTEND;VALUE=DATE-TIME:20150928T145000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2332@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Eichmair (Universität Wien)\nIn the first t
wo lectures I will describe the basic results on the significance\, existe
nce\, and properties of apparent horizons (or more precisely “marginally
outer trapped surfaces”) in initial data sets. Taking into account the
preferences of the audience\, I will then sketch the proofs of one or two
fundamental results in mathematical relativity that build on this theory.
The possibilities include the minimal surface proof of the Riemannian posi
tive energy theorem\, the marginally outer trapped surface proof of the sp
acetime positive mass theorem\, and the existence of black holes due to co
ndensation of matter.\n\nhttps://indico.math.cnrs.fr/event/663/contributio
ns/2332/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2332/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Localized solutions of the Einstein equations: a few words about t
heir geometry and physics (short talk)
DTSTART;VALUE=DATE-TIME:20150930T143000Z
DTEND;VALUE=DATE-TIME:20150930T151000Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2333@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandro CARLOTTO (ETH Zürich)\nIt is a truly sur
prising fact that the Einstein constraint equations own an overabundance o
f localized solutions\, namely solutions that coincide with arbitrarily-as
signed data inside a given solid cone and are trivial outisde of a cone of
slightly larger angle. In this talk\, I will briefly present them and com
ment on their physical relevance (related to gravitational shielding pheno
mena) as well as on their geometric content (which concerns the link with
the isoperimetric problem\, large outlying CMC spheres and stable minimal
surfaces). This is mostly based on joint work with Richard Schoen.\n\nhttp
s://indico.math.cnrs.fr/event/663/contributions/2333/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2333/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the mathematical theory of black holes (lecture 4)
DTSTART;VALUE=DATE-TIME:20151001T091500Z
DTEND;VALUE=DATE-TIME:20151001T101500Z
DTSTAMP;VALUE=DATE-TIME:20220816T014022Z
UID:indico-contribution-663-2334@indico.math.cnrs.fr
DESCRIPTION:Speakers: Piotr Chrusciel (University of Vienna)\nIn the lectu
res I plan to discuss the geometry of spherically symmetric black holes\,
that of the Kerr black hole\,\nand of the Emperan-Reall black rings. Confo
rmal and projection diagrams will be discussed\, and some elements of the
theory of uniqueness of stationary black holes will be presented. \n\nThe
lectures will be based on selected chapters of the monograph "Geometry of
black holes"\, available at http://homepage.univie.ac.at/piotr.chrusciel/t
eaching/Black%20Holes/BlackHolesViennaJanuary2015.pdf\n\nhttps://indico.ma
th.cnrs.fr/event/663/contributions/2334/
LOCATION:Science Campus\, University of Montpellier Lecture room SC 10.01\
, building #10
URL:https://indico.math.cnrs.fr/event/663/contributions/2334/
END:VEVENT
END:VCALENDAR