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00: Thus the Alexander duality is essentially used only in finite dimensional cases.

Goncharov discovered the functional equation of the trilogarithm, in relation with the configurations of six points in the projective plane. This enabled him to compute explicitly A. Borel's regulator and to prove D. Zagier's conjecture on ((3). Later he discovered motivic versions of Chern's first classes. Finally A. Goncharov has also studied the mathematical aspects of tomography and of electronic microscopy of biomolecules. Maxim Kontsevich Maxim Kontsevich was born in 1964 near Moscow. M. I.

Kontsevich has discovered unthought-of relations between string theory and Chern-Simon's theory thanks to explicit integral representations of knot invariants recently introduced by V. Vassiliev. xliii Prizes Ceremony Franc;ois Labourie Franc;ois Labourie was born in 1960. He studied at the Ecole Normale Superieure in Paris and works now at the Centre National de la Recherche Scientifique at the Ecole Polytechnique. F. Labourie has investigated various important fields of geometry (convex hypersurfaces, pseudoholomorphic curves, Anosov's flows, and so on).

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First European Congress of Mathematics : Paris, July 6-10, 1992 Volume I Invited Lectures (Part 1) by V. I. Arnold (auth.), Anthony Joseph, Fulbert Mignot, Fran├žois Murat, Bernard Prum, Rudolf Rentschler (eds.)


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