<?xml version="1.0" encoding="UTF-8"?><lom xmlns="http://ltsc.ieee.org/xsd/LOM" xmlns:lomfr="http://www.lom-fr.fr/xsd/LOMFR" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://ltsc.ieee.org/xsd/LOM http://www.lom-fr.fr/xsd/lomfrv1.0/std/lomfr.xsd">
<general>
<identifier>
<catalog>Canal-U_Ocms</catalog>
<entry>22503</entry>
</identifier>
<title><string language="fre"><![CDATA[Jérémie Szeftel The resolution of the bounded L2 curvature conjecture in General Relativity (Part 4)]]></string></title>
<language>ENG</language>
<description>
<string language="fre"><![CDATA[In order to control locally a space-­?time which satisfies the Einstein equations, what are the minimal assumptions one should make on its curvature tensor? The bounded L2 curvature conjecture roughly asserts that one should only need L2 bounds of the curvature tensor on a given space-­?like hypersurface. This conjecture has its roots in the remarkable developments of the last twenty years centered around the issue of optimal well-­?posedness for nonlinear wave equations. In this context, a corresponding conjecture for nonlinear wave equations cannot hold, unless the nonlinearity has a very special nonlinear structure. I will present the proof of this conjecture, which sheds light on the specific null structure of the Einstein equations. This is joint work with Sergiu Klainerman and Igor Rodnianski. These lectures will start from scratch and require no specific background.]]></string></description>
<keyword><string language="fre"><![CDATA[mathématiques]]></string></keyword><keyword><string language="fre"><![CDATA[Grenoble]]></string></keyword><keyword><string language="fre"><![CDATA[école d'été]]></string></keyword><keyword><string language="fre"><![CDATA[General Relativity]]></string></keyword><keyword><string language="fre"><![CDATA[institut fourier]]></string></keyword><keyword><string language="fre"><![CDATA[summer school]]></string></keyword><keyword><string language="fre"><![CDATA[asymptotic analysis]]></string></keyword>
<lomfr:documentType>
<lomfr:source>LOMFRv1.0</lomfr:source>
<lomfr:value>image en mouvement</lomfr:value>
</lomfr:documentType>
</general><lifeCycle>
<contribute>
<role>
<source>LOMv1.0</source>
<value>author</value>
</role>
<entity><![CDATA[BEGIN:VCARD
VERSION:3.0
CLASS:PUBLIC
REV:2021-07-06 17:13:08
FN:Jérémie Szeftel
N:Szeftel;Jérémie;;;
URL;TYPE=work:http://www.ann.jussieu.fr/szeftel/
ROLE:author
TZ:+0200
END:VCARD
]]></entity>
<date><dateTime>2014-06-27</dateTime></date>
</contribute>
<contribute>
<role>
<source>LOMv1.0</source>
<value>content provider</value>
</role>
<entity><![CDATA[BEGIN:VCARD
VERSION:3.0
CLASS:PUBLIC
REV:2021-07-06 17:13:08
FN:Fanny Bastien
N:Bastien;Fanny;;;
URL;TYPE=work:https://www.canal-u.tv/auteurs/bastien_fanny
ROLE:content provider
TZ:+0200
END:VCARD
]]></entity>
<date><dateTime>2014-06-27</dateTime></date>
</contribute>
</lifeCycle>
<metaMetadata>
<metadataSchema>LOMv1.0</metadataSchema>
<metadataSchema>LOMFRv1.0</metadataSchema>
</metaMetadata>
<technical>
<format>video/mp4</format>
<location><![CDATA[https://www.canal-u.tv/video/institut_fourier/jeremie_szeftel_the_resolution_of_the_bounded_l2_curvature_conjecture_in_general_relativity_part_4.22503]]></location>
<location><![CDATA[https://streaming-canal-u.fmsh.fr/vod/media/canalu/videos/institut_fourier/jeremie.szeftel.the.resolution.of.the.bounded.l2.curvature.conjecture.in.general.relativity.part.4._22503/szeftel2_ecoleete_27062014_sd.mp4]]></location>
<size>4511700079</size>
<duration><duration>PT1H55M53S</duration></duration>
</technical>
<educational>
<learningResourceType>
<source>LOMv1.0</source>
<value>lecture</value>
</learningResourceType>
<context>
<source>LOMv1.0</source>
<value>doctorat</value>
</context>
</educational>
<rights>
<cost>
<source>LOMv1.0</source>
<value>no</value>
</cost>
<copyrightAndOtherRestrictions>
<source>LOMv1.0</source>
<value>no</value>
</copyrightAndOtherRestrictions>
<description>
<string language="fre"><![CDATA[Droits réservés à l'éditeur et aux auteurs. 
CC BY-NC-ND 4.0]]></string>
</description>
</rights>
<relation>
<kind>
<source>LOMv1.0</source>
<value>ispartof</value>
</kind>
<resource>
<identifier>
<catalog>URI</catalog>
<entry>https://www.canal-u.tv/producteurs/institut_fourier/ecoles_d_ete</entry>
</identifier>
<description>
<string language="fre"><![CDATA[Ecoles d'été]]></string>
</description>
</resource>
</relation>
<relation>
<kind>
<source>LOMv1.0</source>
<value>ispartof</value>
</kind>
<resource>
<identifier>
<catalog>URI</catalog>
<entry>https://www.canal-u.tv/producteurs/institut_fourier/ecoles_d_ete/2014.0</entry>
</identifier>
<description>
<string language="fre"><![CDATA[2014]]></string>
</description>
</resource>
</relation>
<classification>
<purpose>
<source>LOMv1.0</source>
<value>discipline</value>
</purpose>
<taxonPath>
<source>
<string language="fre"><![CDATA[Universités Numériques Thématiques 2009 http://www.universites-numeriques.fr]]></string>
</source>
<taxon>
<id/>
<entry>
<string language="fre"/>
</entry>
</taxon>
</taxonPath>
</classification>
<classification>
<purpose>
<source>LOMv1.0</source>
<value>discipline</value>
</purpose>
<taxonPath>
<source>
<string language="fre">CDD 22e éd.</string>
<string language="eng">DDC 22nd ed.</string>
</source>
<taxon>
<id>510</id>
<entry>
<string language="fre"><![CDATA[Mathématiques]]></string>
</entry>
</taxon>
</taxonPath>
</classification> </lom>