Program


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Short Talks Schedule

Abstracts  [PS]   [DVI]

MAIN SPEAKERS

Bayer, Eva "Lattices and number fields"
Bertolini, Massimo "p-adic L-functions and the arithmetic of elliptic curves"
Buzzard, Kevin "Families of modular forms".
Conrad, Brian "Wild ramification and deformation rings".
Edixhoven, Bas "On the Oort-André conjecture".
Henniart, Guy "Recent progress on the Langlands conjectures for GL(N)".
Iwaniec, Henryk "Central values of L-functions from an analytic point of view".
Roy, Damien "On the Schwarz lemma".
Masser, David "Intersecting a curve with multiplicative groups".
Ullmo, Emmanuel "Distribution of algebraic points".
Wooley, Trevor "Exponential sums and diophantine problems: the unexpected afterlife of classical ideas".

 

SHORT TALKS.

Abrashkin, Victor "Local analogue of the Grothendieck Conjecture".
Acciaro, Vincenzo & Fieker, Claus "Finding normal integral bases of cyclic number fields of prime degree".
Aliev, Iskander "Weyl Sequences: Asymptotic Distributions of the Partition Lengths".
Antoniadis, Jannis A. "Groups of Automorphisms of Algebraic Curves".
Berhuy, Grigory "Caractérisation de formes trace hermitiennes sur des algèbres étales".
Bhowmik, Gautami "Zeta Functions of Subgroups of Abelian Groups".
Bosma, Wieb "Signed bits and fast exponentiation".
Bouw, Irene I. "Reductions of covers and Hurwitz spaces".
Brisebarre, Nicolas "A recursive approach for solving some systems of difference equations".
Brüdern, Jörg "Artin's conjecture revisited: pairs of forms".
Bruin, Nils "Solving generalized Fermat-Equations".
Bugeaud, Yann "On the Diophantine equation (xn - 1)/( x - 1) = yq".
Bundschuh, Peter "Irrationality results by analytic methods".
Cai, Tianxin "Chains of primes or composites on f(x,y)".
Chambert-Loir, Antoine & Tschinkel, Yuri "The number points of bounded height in equivariant compactifications of affine spaces".
Cohen, Henri "On the density of discriminants of number fields".
Cohen, Paula "Applications de la Conjecture d'André-Oort à la transcendance".
Coleman, Mark D. "Averages of Arithmetic functions in number fields".
Cook, Roger J. "The values of additive forms at prime arguments".
Coppola, Giovanni "On the distribution in the arithmetic progressions of reducible quadratic polynomials in short intervals, I - II".
Cornelissen, Gunther "Class numbers, Eisenstein series and supersingular Drinfeld modules".
Coulangeon, Renaud "Extreme Humbert forms over algebraic number fields".
Daniel, Stephan "On the sum of a square and a square of a prime".
Darmon, Henri "Modularity of hypergeometric abelian varieties".
Davis, Simon "Mathematical Applications of String Theory: Spin Structures on Riemann Surfaces and the Perfect Numbers".
Deschamps, Bruno "Groupe de Brauer des clotures totalement reelles".
Dietmann, Rainer "Small solutions of quadratic diophantine equations".
Doche, Christophe "On the Spectrum of the Zhang-Zagier Height".
Douai, Jean-Claude "Corps des modules, Corps de définition et Cohomologie".
Dujella, Andrej "A parametric family of elliptic curves".
Elsholtz, Christian "A Combined Large Sieve Method and Applications to the Additive Decomposition of the Set of Primes".
Fainsilber, Laura "An injectivity result for hermitian forms over local orders".
Francini, Paolo "The function h0 for quadratic number fields".
Fukuda, Takashi & Komatsu, Keiichi "On Iwasawa l3-invariants of certain cyclic cubic fields".
Gaál, István "Power integral bases in algebraic number fields".
Gallardo, Luis "Identities and sums of cubes in F2n[t]".
Gardeyn, Francis "Action of inertia and image of Galois on the torsion of Drinfeld modules".
Gasbarri, Carlo "Roth Theorem on non rational ruled surfaces".
Gee, Alice "Special values of modular units".
Gittenberger, Bernhard "Asymptotic Normality of Additive Functions in Number Fields".
Gonzalez, Josep & Lario, Joan-C. "Manin constants for Q-curves".
Groenewegen, Richard "Arithmetic analogues of theorems for curves".
Guàrdia, Jordi "Arakelov computations in genus 3 curves".
Gusev, Hermann "Lemma on isometric linearization".
Hanrot, Guillaume "A new criterion for Catalan's equation".
Harari, David "Weak approximation on non simply-connected algebraic varieties".
Hill, Richard "Metaplectic groups and the Gauss-Schering Lemma".
Honsbeek, Mascha "Denesting certain nested radicals of depth two".
Huttner, Marc "Equations Différentielles et Approximations Diophantiennes d'Intégrales Abéliennes".
Kida, Masanari "Reduction of elliptic curves over imaginary quadratic fields".
Klyachko, Alexander & Kara, Orhun "Singularities of The Modular Curve".
Koike, Kenji "The Kuga-Satake varieties attached to double coverings over P1× P1 branched along four (1,1)-curve".
Kudryavtsev, Michael "The upper estimation of the complete rational exponential sums".
Kühnlein, Stefan "Families of finite groups".
Kulkarni Manisha V. with Chakraborty K. "Solutions of cubic equations in Quadratic Fields".
Lalande, Franck "Une caractérisation des corps de nombres réels engendrés par un nombre de Salem".
Langevin, Michel "Equations diophantiennes polynômiales a hautes multiplicités".
Lannuzel, Arthur "Sur les extensions pro-p-libres d'un corps de nombres algébriques ".
Laporta, Maurizio B. S. "Some Bombieri-Vinogradov type theorems on the Goldbach-Waring problem".
Lauter, Kristin "Geometric Methods for Improving Bounds on the Number of Rational Points on Curves over Finite Fields".
Lefeuvre, Yann "Relative class number one problem for dihedral CM- field".
Lehman, Lerry "Computation of L-series values for twists of elliptic curves".
Lettl, Günter & Petho, Attila & Voutier, Paul "Simple families of Thue inequalities".
Liebendörfer, Christine "Heights over division algebras".
Lorenzini, Dino "On the special fiber of Néron models".
Lorenzon, Pierre "Logarithmic Hodge-Witt forms and Hyodo-Kato cohomology".
Mignotte, Maurice "A survey on recent results on Catalan's equation".
Mihailescu, Preda & Morain, François "Certifying Cyclotomy Primality Proof".
Monsurrò, Marina "Doubling Trace forms".
Movahhedi, A. Chazad & Kolster, Manfred "Bi-quadratic Number Fields with trivial 2-primary wild Kernel".
Moshchevitin, Nikolai "M. Hall's theorem and t-sets".
Nakano, Shin "A note on the rank of ideal class groups".
Nazarova, Katerina & Gusev, Hermann "On isometries in locally compact non-archimedean fields".
Niederreiter, Harald with Cohen, Stephen. D. & Shparlinski, Igor E. & Zieve, Michael "Incomplete Character Sums and a Special Class of Permutations".
Papanikolas, Matthew A. "Gamma Values and Linear Independence in Characteristic p".
Perret, Marc "On the ideal class group problem for global fields".
Peyre, Emmanuel "Flags of bounded height in the functional case".
Poonen, Bjorn "Algebraic families of nonzero elements of Shafarevich-Tate groups".
Popov, Sergei & Valentin Voskrenskii "Galois Modules and Models of Algebraic Tori".
Poulakis, Dimitrios "On the reduction modulo p of absolutely irreducible polynomials".
Quer, Jordi "Fields of definition of  Q-curves".
Raigorodskii, Andrei M. "A probabilistic approach to the problem of the defect of good admissible sets in a lattice".
Rémond, Gaël "On the product theorem".
Roskam, Hans "Artin's conjecture on primitive roots over number fields".
Rudnick, Zeév "Primitive roots and the quantized cat map".
Shiga, Hirinori "Toward the quaternion K3 modular function".
Sodaigui, Bouchaib "Realizable classes of dihedral extensions of degree 8".
Solé, Patrick "Ramanujan Geometries of type  Ãn".
Sonn, Jack "Nilpotent Galois groups over Qnil(t)".
Stevenhagen, Peter "A two variable Artin conjecture".
D. Surya Ramana "Atkin's Theorem on Psuedo-squares".
Swallow, John R. "Explicit Quadratic Descent for Quaternion Algebras".
Thangadurai, Ravindranathan "On a Lattice Point Problem".
Terai, Nobuhiro "The Diophantine equation ax-by = d".
Thiebaud, Caroline "Capitulation dans un corps des genres".
Thuswaldner, Jörg M. "The sum of digits function for number system with negative bases".
Vela, Montse "Embedding problems with cyclic kernel".
Voskresenskaya, Galina "Metacyclic groups and multiplicative h-functions".
Walling, Lynne "Siegel modular forms, Hecke operators and theta series".
Wallisser, Rolf "A theorem on entire functions as a principle for proof's on irrationality".
Wewers, Stefan "Cohomological obstruction for the field of definition of Galois covers".
Winterhof, Arne "Results on Waring's problem in finite fields".
Wolf, Marek "The computer search for primes of the form n2+1".
Yanchevskii, Vyacheslav I. "P-primary torsion of Brauer groups of local elliptic curves with bad reduction and unramified division algebras over their function fields".
Yato, Mitsuaki "On the extensions of the group schemes  G(l) by Ga over a Z(p)-algebra".
Zaccagnini, Alessandro "Conditional density theorems for the zeros of the Riemann zeta-function".
Zhan, Tao "Additive problems involving prime squares".