@incollection{AST_2012__348__17_0, author = {Kowalski, Emmanuel}, title = {Crible en expansion}, booktitle = {S\'eminaire Bourbaki Volume 2010/2011 Expos\'es 1027-1042. Avec table par noms d'auteurs de 1948/49 \`a 2009/10.}, series = {Ast\'erisque}, note = {talk:1028}, pages = {17--64}, publisher = {Soci\'et\'e math\'ematique de France}, number = {348}, year = {2012}, mrnumber = {3050711}, zbl = {1323.11070}, language = {fr}, url = {http://archive.numdam.org/item/AST_2012__348__17_0/} }
TY - CHAP AU - Kowalski, Emmanuel TI - Crible en expansion BT - Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. AU - Collectif T3 - Astérisque N1 - talk:1028 PY - 2012 SP - 17 EP - 64 IS - 348 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2012__348__17_0/ LA - fr ID - AST_2012__348__17_0 ER -
%0 Book Section %A Kowalski, Emmanuel %T Crible en expansion %B Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. %A Collectif %S Astérisque %Z talk:1028 %D 2012 %P 17-64 %N 348 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2012__348__17_0/ %G fr %F AST_2012__348__17_0
Kowalski, Emmanuel. Crible en expansion, in Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10., Astérisque, no. 348 (2012), Talk no. 1028, 48 p. http://archive.numdam.org/item/AST_2012__348__17_0/
[1] Éléments de mathématique, Fonctions d'une variable réelle, théorie élémentaire, Hermann, 1976 ; | MR | Zbl
-Éléments de mathématique, Fonctions d'une variable réelle, théorie élémentaire, réédition Springer, 2007. | Zbl
-[2] A proof of the positive density conjecture for integer Apollonian circle packings, J. Amer. Math. Soc.24 (2011), p. 945-967. | DOI | MR | Zbl
& -[3] Uniform expansion bounds for Cayley graphs of , Ann. of Math.167 (2008), p. 625-642. | DOI | MR | Zbl
&: -[4] The affine linear sieve, Invent. Math.179 (2010), p. 559-644. | DOI | MR | Zbl
, & -[5] Generalization of Selberg's 3/16 theorem and affine sieve, prépublication arXiv:0912.5021. | DOI | MR | Zbl
, & ,[6] On representations of integers in thin subgroups of , prépublication arXiv:1001.4534. | MR | Zbl
& -[7] Expansion in arbitrary, prépublication arXiv:1006.3365. | MR | Zbl
& -[8] Linear approximate groups, G.A.F.A.21 (2011), p. 774-819. | Zbl
, & -[9] Petites valeurs propres du laplacien et topologie de Fell, Thèse, Université de Lausanne, 1986. | MR
-[10] The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy, Duke Math. J.87 (1997), p. 151-180. | DOI | MR | Zbl
-[11] Démonstration de la conjecture , Invent. Math.151 (2003), p. 297-328. | DOI | MR | Zbl
-[12] Density of integer points on affine homogeneous varieties, Duke Math. J.71 (1993), p. 143-179. | DOI | MR | Zbl
, & -[13] Finite covers of random 3-manifolds, Invent. Math.166 (2006), p. 457-521. | DOI | MR | Zbl
& -[14] Expander graphs, gonality and variation of Galois représentations, à paraître dans Duke Math. J. | MR | Zbl
, & -[15] Mixing, counting, and equidistribution in Lie groups, Duke Math. J.71 (1993), p. 181-209. | DOI | MR | Zbl
& -[16] Opera de cribro, American Mathematical Society Colloquium Publications, vol. 57, Amer. Math. Soc, 2010. | MR | Zbl
& -[17] Strong approximation in the Apollonian group, prépublication, 2009. | Zbl
-[18] Some experiments with integral Apollonian circle packings, J. Experimental Math.20 (2011), p. 380-399. | DOI | MR | Zbl
& -[19] On the spectral gap for infinite index "congruence" subgroups of , Israel J. Math.127 (2002), p. 157-200. | DOI | MR | Zbl
-[20] Growth of small generating sets in , Int. Math. Res. Notices2011 (2011), p. 4226-4251. | MR | Zbl
& -[21] The ergodic theory of lattice subgroups, Annals of Math. Studies, vol. 172, Princeton Univ. Press, 2010. | MR | Zbl
& -[22] Lifting, restricting and sifting integral points on affine homogeneous varieties, prépublication, 2010. | DOI | Zbl
& ,[23] Apollonian circle packings : number theory, J. Number Theory100 (2003), p. 1-45. | DOI | MR | Zbl
, , , & -[24] Approximate groups and their applications : work of Bourgain, Gamburd, Helfgott and Sarnak, Current Events Bulletin of the AMS (2010).
-[25] Linear equations in primes, Ann. of Math.171 (2010), p. 1753-1850. | DOI | MR | Zbl
& -[26] Growth and generation in , Ann. of Math.167 (2008), p. 601-623. | MR | Zbl
-[27] Growth in , J. European Math. Soc.13 (2011), p. 761-851. | EuDML | MR | Zbl
,[28] Expander graphs and their applications, Bull. Amer. Math. Soc. (N.S.)43 (2006), p. 439-561. | DOI | MR | Zbl
, & -[29] Stable group theory and approximate subgroups, J. Amer. Math. Soc.25 (2012), p. 189-243. | DOI | MR | Zbl
-[30] Definable subgroups of algebraic groups over finite fields, J. reine angew. Math.462 (1995), p. 69-91. | EuDML | MR | Zbl
& -[31] Analytic number theory, American Mathematical Society Colloquium Publications, vol. 53, Amer. Math. Soc., 2004. | MR | Zbl
& -[32] Splitting fields of characteristic polynomials of random elements in arithmetic groups, à paraître dans Israel J. of Math. | MR | Zbl
, & -[33] Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds, Journal of the A.M.S.24 (2011), p. 603-648. | MR | Zbl
& -[34] Almost prime Pythagorean triples in thin orbits, à paraître dans J. reine und angew. Math. | MR | Zbl
& ,[35] The large sieve and its applications, Cambridge Tracts in Mathematics, vol. 175, Cambridge Univ. Press., 2008. | MR | Zbl
-[36] Finite subgroups of algebraic groups, Journal of the A.M.S.24 (2011), p. 1105-1158. | MR | Zbl
& -[37] The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces, J. Fund. Anal.46 (1982), p. 280-350. | DOI | MR | Zbl
& -[38] The minimal decay of matrix coefficients for classical groups, in Harmonic analysis in China, Math. Appl., vol. 327, Kluwer Acad. Publ., 1995, p. 146-169. | MR | Zbl
-[39] Integral points on quadrics in three variables whose coordinates have few prime factors, Israel J. Math.178 (2010), p. 393-426. | DOI | MR | Zbl
& -[40] Discrete groups, expanding graphs and invariant measures, Progress in Math., vol. 125, Birkhäuser, 1994. | MR | Zbl
-[41] Sieve methods in group theory I : powers in linear groups, à paraître dans Journal of the A.M.S. | MR | Zbl
& -[42] Random Heegaard splittings, J. Topology3 (2010), p. 997-1025. | DOI | MR | Zbl
-[43] Sieve and expanders, 2010, rapport de stage de master, ETH Zurich et Université Paris Sud.
-[44] Congruence properties of Zariski-dense subgroups. I, Proc. London Math. Soc.48 (1984), p. 514-532. | DOI | MR | Zbl
, & -[45] Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices, Duke Math. J.136 (2007), p. 357-399. | DOI | MR | Zbl
-[46] Prime and almost prime integral points on principal homogeneous spaces, Acta Math.205 (2010), p. 361-402. | DOI | MR | Zbl
& -[47] On subgroups of , Invent. Math.88 (1987), p. 257-275. | EuDML | MR | Zbl
-[48] Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants, Duke Math. J.113 (2002), p. 133-192. | MR | Zbl
-[49] Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond, in Proceedings of the International Congress of Mathematicians. Volume III, Hindustan Book Agency, 2010, p. 1308-1331. | MR | Zbl
,[50] Sur les automorphismes de groupes libres et de groupes de surface, Sém. Bourbaki, vol. 2009/10, exp. n° 1023, Astérisque 339 (2011), p. 323-356. | Numdam | MR | Zbl
-[51] Growth in finite simple groups of Lie type of bounded rank, prepublication arXiv:1005.1858. | MR
& -[52] Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms, Duke Math. J.142 (2008), p. 353-379. | DOI | MR | Zbl
-[53] Expansion in perfect groups, prépublication, 2010. | Zbl
& -[54] Notes on the generalized Ramanujan conjectures, in Harmonic analysis, the trace formula, and Shimura varieties, Clay Math. Proc., vol. 4, Amer. Math. Soc., 2005, p. 659-685. | MR | Zbl
-[55] Affine sieve, notes d'un exposé, http://www.math.princeton.edu/sarnak/, 2010.
,[56] Bounds for multiplicities of automorphic representations, Duke Math. J.64 (1991), p. 207-227. | DOI | MR | Zbl
& -[57] Topics in Galois theory, 2e éd., Research Notes in Math., vol. 1, A K Peters Ltd., 2008. | MR | Zbl
-[58] Expanding graphs and invariant means, Combinatorica17 (1997), p. 555-575. | DOI | MR | Zbl
-[59] Expansion in squarefree, prépublication arXiv:1001.3664. | MR | Zbl
-[60] Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups, Ann. of Math.120 (1984), p. 271-315. | DOI | MR | Zbl
-[61] The large sieve and Galois representations, These, University of California, Berkeley, 2008, prépublication arXiv.0812.2222. | MR
-