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作者：MULLER, D; RICCI, F; STEIN, EM
作者单位：Centre National de la Recherche Scientifique (CNRS); Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Polytechnic University of Turin; Princeton University
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作者：HEINONEN, J; KOSKELA, P
摘要：We establish that the infinitesimal ''H-definition'' for quasiconformal mappings on Carnot groups implies global quasisymmetry, and hence the absolute continuity on almost all lines. Our method is new even in R(n) where we obtain that the ''limsup'' condition in the H-definition can be replaced by a ''liminf'' condition. This leads to a new removability result for (quasi)conformal mappings in Euclidean spaces. An application to parametrizations of chord-are surfaces is also given.
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作者：WINTENBERGER, JP
作者单位：Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Centre National de la Recherche Scientifique (CNRS)
摘要：Let rho(l) : G(E) --> H(Q(l)) be a system of l-adic Galois representations associated to a motive over a number field E with values in the algebraic group H. Let H' --> H be a central isogeny such that the complex Hedge structure lifts to H'. The main result is that, under some convenient hypothesis, and after restriction to a finite extension, the system of Galois representations lifts to H'.
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作者：FREEDMAN, MH; TEICHNER, P
作者单位：Johannes Gutenberg University of Mainz
摘要：Even when the fundamental group is intractable (i.e. not ''good'') many interesting 4-dimensional surgery problems have topological solutions. We unify and extend the known examples and show how they compare to the (presumed) counterexamples by reference to Dwyer's filtration on second homology. The development brings together many basic results on the nilpotent theory of links. As a special case, a class of links only slightly smaller than ''homotopically trivial links'' is shown to have (fre...
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作者：BOROVOI, M; RUDNICK, Z
作者单位：Princeton University
摘要：We are interested in counting integer and rational points in affine algebraic varieties, also under congruence conditions. We introduce the notions of a strongly Hardy-Littlewood variety and a relatively Hardy-Littlewood variety, in terms of counting rational points satisfying congruence conditions. The definition of a strongly Hardy-Littlewood variety is given in such a way that varieties for which the Hardy-Littlewood circle method is applicable are strongly Hardy-Littlewood. We prove that c...
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作者：PREMET, A
作者单位：University of California System; University of California Riverside
摘要：Let g be the Lie algebra of a connected reductive group G over an algebraically closed field of characteristic p > 0. Suppose that G((1)) is simply connected and p is good for the root system of G. If p = 2, suppose in addition that g admits a nondegenerate G-invariant trace form. Let V be an irreducible and faithful g-module with p-character chi is an element of g*. It is proved in the paper that dim V is divisible by p(1/2dim Omega(chi)) where Omega(chi) stands for the orbit of chi under the...
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作者：FREEDMAN, MH; TEICHNER, P
作者单位：Johannes Gutenberg University of Mainz
摘要：The technical lemma underlying the 5-dimensional topological s-cobordism conjecture and the 4-dimensional topological surgery conjecture is a purely smooth category statement about locating pi(1)-null immersions of disks. These conjectures are theorems precisely for those fundamental groups (''good groups'') where the pi(1)-null disk lemma (NDL) holds. We expand the class of known good groups to all groups of subexponential growth and those that can be formed from these by a finite number of a...
