11.07.2015 Views

International Congress of Mathematicians

International Congress of Mathematicians

International Congress of Mathematicians

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ContentsSection 1. LogicE. Bouscaren: Groups Interprétable in Theories <strong>of</strong> Fields 3J. Denef, F. Loeser: Motivic Integration and the Grothendieck Group <strong>of</strong>Pseudo-Finite Fields 13D. Lascar: Automorphism Groups <strong>of</strong> Saturated Structures; A Review 25Section 2. AlgebraS. Bigelow: Representations <strong>of</strong> Braid Groups 37A. Bondal, D. Orlov: Derived Categories <strong>of</strong> Coherent Sheaves 47M. Levine: Algebraic Cobordism 57Cheryl E. Praeger: Permutation Groups and Normal Subgroups 67Markus Rost: Norm Varieties and Algebraic Cobordism 77Z. Sela: Diophantine Geometry over Groups and the Elementary Theory<strong>of</strong> Free and Hyperbolic Groups 87J. T. Stafford: Noncommutative Projective Geometry 93Dimitri Tamarkin: Deformations <strong>of</strong> Chiral Algebras 105Section 3. Number TheoryJ. W. Cogdell, I. I. Piatetski-Shapiro: Converse Theorems,Functoriality, and Applications to Number Theory 119H. Cohen: Constructing and Counting Number Fields 129Jean-Marc Fontaine: Analyse p-adique et Représentations Galoisiennes 139A. Huber, G. Kings: Equivariant Bloch-Kato Conjecture and Non-abelianIwasawa Main Conjecture 149Kazuya Kato: Tamagawa Number Conjecture for zeta Values 163Stephen S. Kudla: Derivatives <strong>of</strong> Eisenstein Series and ArithmeticGeometry 173Barry Mazur, Karl Rubin: Elliptic Curves and Class Field Theory 185Emmanuel Ullmo: Théorie Ergodique et Géométrie Arithmétique 197Trevor D. Wooley: Diophantine Methods for Exponential Sums, andExponential Sums for Diophantine Problems 207

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