InforLorV4, Main, Exploration, bibRecord, 001F36

Explicit methods in number theory. Rational points and Diophantine equations.

Identifieur interne : 001F36 ( Main/Exploration ); précédent : 001F35; suivant : 001F37

Explicit methods in number theory. Rational points and Diophantine equations.

Auteurs : Karim Belabas [France] ; Frits Beukers [Pays-Bas] ; Pierrick Gaudry [France] ; William Mccallum [États-Unis] ; Bjorn Poonen [États-Unis] ; Samir Siksek [Royaume-Uni] ; Michael Stoll [Allemagne] ; Mark Watkins

Source :

RBID : Hal:hal-00932377

Abstract

This volume contains a selection of seven short courses in number theory taught during a special trimester at Institut Henri Poincaré (from September to December 2004), centered on Diophantine equations and how to effectively solve them. The lectures, targeted at second year graduate students, display an attractive panorama of mathematical ideas and tools, that can be used to reach this goal.

Url:

https://hal.archives-ouvertes.fr/hal-00932377

Affiliations:

Links toward previous steps (curation, corpus...)

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Le document en format XML

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<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
<author><name sortKey="Mccallum, William" sort="Mccallum, William" uniqKey="Mccallum W" first="William" last="Mccallum">William Mccallum</name>
<affiliation wicri:level="1"><hal:affiliation type="institution" xml:id="struct-23624" status="VALID"><orgName>University of Arizona</orgName>
<desc><address><addrLine>University of Arizona Tucson AZ 85721 USA</addrLine>
<country key="US"></country>
</address>
<ref type="url">http://www.arizona.edu/</ref>
</desc>
</hal:affiliation>
<country>États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Poonen, Bjorn" sort="Poonen, Bjorn" uniqKey="Poonen B" first="Bjorn" last="Poonen">Bjorn Poonen</name>
<affiliation wicri:level="1"><hal:affiliation type="department" xml:id="struct-103056" status="VALID"><orgName>Department of Mathematics [MIT]</orgName>
<desc><address><addrLine>Headquarters Office Building 2, Room 236 77 Massachusetts Avenue Cambridge, MA 02139-4307</addrLine>
<country key="US"></country>
</address>
<ref type="url">http://math.mit.edu/</ref>
</desc>
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</listRelation>
<tutelles><tutelle active="#struct-22441" type="direct"><org type="institution" xml:id="struct-22441" status="VALID"><orgName>Massachusetts Institute of technology [Cambridge]</orgName>
<orgName type="acronym">MIT</orgName>
<desc><address><addrLine>Massachusetts Avenue Cambridge, MA 02142</addrLine>
<country key="US"></country>
</address>
<ref type="url">http://mit.edu/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Siksek, Samir" sort="Siksek, Samir" uniqKey="Siksek S" first="Samir" last="Siksek">Samir Siksek</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-41505" status="VALID"><orgName>Warwick Mathematics Institute</orgName>
<orgName type="acronym">WMI</orgName>
<desc><address><addrLine>Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom</addrLine>
<country key="GB"></country>
</address>
<ref type="url">http://www.maths.warwick.ac.uk/index.html</ref>
</desc>
<listRelation><relation active="#struct-310206" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-310206" type="direct"><org type="institution" xml:id="struct-310206" status="INCOMING"><orgName>The University of Warwick</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Royaume-Uni</country>
</affiliation>
</author>
<author><name sortKey="Stoll, Michael" sort="Stoll, Michael" uniqKey="Stoll M" first="Michael" last="Stoll">Michael Stoll</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-152786" status="VALID"><orgName>Mathematisches Institut [Bayreuth]</orgName>
<desc><address><addrLine>University of Bayreuth Faculty of Mathematics, Physics and Computer Science Mathematical Institute D-95440 Bayreuth Germany</addrLine>
<country key="DE"></country>
</address>
<ref type="url">http://www.math.uni-bayreuth.de/home.html.de</ref>
</desc>
<listRelation><relation active="#struct-304745" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-304745" type="direct"><org type="institution" xml:id="struct-304745" status="INCOMING"><orgName>Universitat Bayreuth</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Allemagne</country>
</affiliation>
</author>
<author><name sortKey="Watkins, Mark" sort="Watkins, Mark" uniqKey="Watkins M" first="Mark" last="Watkins">Mark Watkins</name>
</author>
</analytic>
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<front><div type="abstract" xml:lang="en">This volume contains a selection of seven short courses in number theory taught during a special trimester at Institut Henri Poincaré (from September to December 2004), centered on Diophantine equations and how to effectively solve them. The lectures, targeted at second year graduate students, display an attractive panorama of mathematical ideas and tools, that can be used to reach this goal.</div>
</front>
</TEI>
<affiliations><list><country><li>Allemagne</li>
<li>France</li>
<li>Pays-Bas</li>
<li>Royaume-Uni</li>
<li>États-Unis</li>
</country>
<region><li>Aquitaine</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Nouvelle-Aquitaine</li>
</region>
<settlement><li>Bordeaux</li>
<li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Bordeaux</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree><noCountry><name sortKey="Watkins, Mark" sort="Watkins, Mark" uniqKey="Watkins M" first="Mark" last="Watkins">Mark Watkins</name>
</noCountry>
<country name="France"><region name="Nouvelle-Aquitaine"><name sortKey="Belabas, Karim" sort="Belabas, Karim" uniqKey="Belabas K" first="Karim" last="Belabas">Karim Belabas</name>
</region>
<name sortKey="Gaudry, Pierrick" sort="Gaudry, Pierrick" uniqKey="Gaudry P" first="Pierrick" last="Gaudry">Pierrick Gaudry</name>
</country>
<country name="Pays-Bas"><noRegion><name sortKey="Beukers, Frits" sort="Beukers, Frits" uniqKey="Beukers F" first="Frits" last="Beukers">Frits Beukers</name>
</noRegion>
</country>
<country name="États-Unis"><noRegion><name sortKey="Mccallum, William" sort="Mccallum, William" uniqKey="Mccallum W" first="William" last="Mccallum">William Mccallum</name>
</noRegion>
<name sortKey="Poonen, Bjorn" sort="Poonen, Bjorn" uniqKey="Poonen B" first="Bjorn" last="Poonen">Bjorn Poonen</name>
</country>
<country name="Royaume-Uni"><noRegion><name sortKey="Siksek, Samir" sort="Siksek, Samir" uniqKey="Siksek S" first="Samir" last="Siksek">Samir Siksek</name>
</noRegion>
</country>
<country name="Allemagne"><noRegion><name sortKey="Stoll, Michael" sort="Stoll, Michael" uniqKey="Stoll M" first="Michael" last="Stoll">Michael Stoll</name>
</noRegion>
</country>
</tree>
</affiliations>
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Explicit methods in number theory. Rational points and Diophantine equations.

Explicit methods in number theory. Rational points and Diophantine equations.

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