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          <name>Persons Mentioned</name>
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                <text>TIRAGE PHOTOGRAPHIQUE</text>
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            <name>Access Rights</name>
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                <text>Public</text>
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          <element elementId="64">
            <name>License</name>
            <description>A legal document giving official permission to do something with the resource.</description>
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          <element elementId="91">
            <name>Rights Holder</name>
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                <text>IHES</text>
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          </element>
          <element elementId="43">
            <name>Identifier</name>
            <description>An unambiguous reference to the resource within a given context</description>
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                <text>ZP2_5_6_3.jpg</text>
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        <name>1998</name>
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        <name>PROFESSEUR</name>
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        <name>SOULE</name>
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        <src>https://omeka.ihes.fr/files/original/917baf450739202a6c65064d7b62302c.jpg</src>
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              <name>Description</name>
              <description>An account of the resource</description>
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                  <text>On trouve ici les chercheurs travaillant ou ayant travaillé à l'institut, ainsi que les personnalités marquantes de son histoire : Pierre Cartier, Alain Connes, Cécile Dewitt-Morette, Henri Epstein, Christophe Soulé, Jacques Tits et Ahmed Abbès.</text>
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                <text>Christophe Soulé (IHES)</text>
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            <description>An account of the resource</description>
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            <name>Creator</name>
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                <text>ZP2.5.6 (4)</text>
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            <name>Format</name>
            <description>The file format, physical medium, or dimensions of the resource</description>
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            <name>Type</name>
            <description>The nature or genre of the resource</description>
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                <text>IMAGE</text>
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                <text>POLAROID</text>
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                <text>POLAROID</text>
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            <name>Access Rights</name>
            <description>Information about who can access the resource or an indication of its security status. Access Rights may include information regarding access or restrictions based on privacy, security, or other policies.</description>
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            <name>License</name>
            <description>A legal document giving official permission to do something with the resource.</description>
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          <element elementId="91">
            <name>Rights Holder</name>
            <description>A person or organization owning or managing rights over the resource.</description>
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          <element elementId="43">
            <name>Identifier</name>
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              <name>Title</name>
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              <description>The topic of the resource</description>
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              <description>An account of the resource</description>
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                  <text>L. Greco</text>
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                  <text>Famille Kuiper</text>
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          <description>The location of the interview</description>
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              <text>https://repo-archives.ihes.fr/PHOTOTHEQUE/ZP6_Evenements_Internes_Officiels/ZP6_3Anniversaires/Fonds_Kuiper/4PK3_2/4PK3_2.jpg</text>
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Abstract :Denoting these bounds by Nd(n), 0 ? d ? n we prove that Nd(n)/(n + 1)! is a polynomial Pd(n) of degree d with rational coefficients. We give the polynomials for d ? 5 explicitly. The proof uses the fact that these bounds Nd(n) are also the number of d-faces of the Voronoï cell of the weight lattice of the Lie algebra An (it is also the Cayley diagram of the symmetric group Sn+1, which is isomorphic to the Weyl group of An). Each d-face of this cell is a zonotope that can be defined by a symmetry group ~ G d (?), (d-dimensional reflection subgroup of the A n Weyl group. We show that for a given d and n large enough, all such subgroups of A n are represented, and we compute explicitly N(G d (?),n) the number of d-faces of type G d (?) in the Voronoï cell of L = A w n. The final result is obtained by summing over a. That also yields the simple expression Nd(n)=(n+1?d)!S(n+1?d)n+1Nd(n)=(n+1?d)!Sn+1(n+1?d) where the last symbol is the Stirling number of second kind.</text>
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              <description>The topic of the resource</description>
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&#13;
A static visual representation. Examples include paintings, drawings, graphic designs, plans and maps. Recommended best practice is to assign the type Text to images of textual materials.</description>
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                <text>Conférence de Christophe Soulé</text>
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