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作者：Pascal, Boyer
作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite
摘要：In the geometric situation of the simple Shimura varieties of Kottwitz studied in Harris and Taylor's book (The Geometry and Cohomology of Some Simple Shimura Varieties, Annals of Mathematics Studies, vol. 151, Princeton University Press, 2001), we describe the monodromy filtration of the vanishing cycles complex and the spectral sequence associated to it. We prove in particular that this filtration coincides with the weight one up to shift. Thanks to the Berkovich-Fargues' theorem, we deduce ...
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作者：Mayboroda, Svitlana; Maz'ya, Vladimir
作者单位：Brown University; University System of Ohio; Ohio State University; University of Liverpool; Linkoping University
摘要：The behavior of solutions to the biharmonic equation is well-understood in smooth domains. In the past two decades substantial progress has also been made for the polyhedral domains and domains with Lipschitz boundaries. However, very little is known about higher order elliptic equations in the general setting. In this paper we introduce new integral identities that allow to investigate the solutions to the biharmonic equation in an arbitrary domain. We establish: (1) boundedness of the gradie...
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作者：Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
作者单位：University System of Maryland; University of Maryland College Park; Rutgers University System; Rutgers University New Brunswick; University of Zurich
摘要：We study the three point genus zero Gromov-Witten invariants on the Grassmannians which parametrize non-maximal isotropic subspaces in a vector space equipped with a nondegenerate symmetric or skew-symmetric form. We establish Pieri rules for the classical cohomology and the small quantum cohomology ring of these varieties, which give a combinatorial formula for the product of any Schubert class with certain special Schubert classes. We also give presentations of these rings, with integer coef...
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作者：Duan, Haibao; Zhao, Xuezhi
作者单位：Chinese Academy of Sciences; Capital Normal University
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作者：Caprace, Pierre-Emmanuel; Remy, Bertrand
作者单位：Universite Catholique Louvain; Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet; CNRS - National Institute for Mathematical Sciences (INSMI)
摘要：Kac-Moody groups over finite fields are finitely generated groups. Most of them can naturally be viewed as irreducible lattices in products of two closed automorphism groups of non-positively curved twinned buildings: those are the most important (but not the only) examples of twin building lattices. We prove that these lattices are simple if the corresponding buildings are irreducible and not of affine type (i.e. they are not Bruhat-Tits buildings). Many of them are finitely presented and enj...
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作者：Peterson, Jesse
作者单位：University of California System; University of California Berkeley
摘要：We introduce the notion of L (2)-rigidity for von Neumann algebras, a generalization of property (T) which can be viewed as an analogue for the vanishing of 1-cohomology into the left regular representation of a group. We show that L (2)-rigidity passes to normalizers and is satisfied by nonamenable II1 factors which are non-prime, have property I, or are weakly rigid. As a consequence we obtain that if M is a free product of diffuse von Neumann algebras, or if M=LI where I is a finitely gener...
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作者：Honda, Ko; Kazez, William H.; Matic, Gordana
作者单位：University of Southern California; University System of Georgia; University of Georgia
摘要：We describe an invariant of a contact 3-manifold with convex boundary as an element of Juhasz's sutured Floer homology. Our invariant generalizes the contact invariant in Heegaard Floer homology in the closed case, due to Ozsvath and SzabA(3).
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作者：Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
作者单位：Universite Paris 13; University of Chicago; University of Helsinki; University of Washington; University of Washington Seattle
摘要：In this article we consider the anisotropic Calderon problem and related inverse problems. The approach is based on limiting Carleman weights, introduced in Kenig et al. (Ann. Math. 165: 567-591, 2007) in the Euclidean case. We characterize those Riemannian manifolds which admit limiting Carleman weights, and give a complex geometrical optics construction for a class of such manifolds. This is used to prove uniqueness results for anisotropic inverse problems, via the attenuated geodesic ray tr...
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作者：Borcea, Julius; Branden, Petter
作者单位：Royal Institute of Technology; Stockholm University
摘要：In 1952 Lee and Yang proposed the program of analyzing phase transitions in terms of zeros of partition functions. Linear operators preserving non-vanishing properties are essential in this program and various contexts in complex analysis, probability theory, combinatorics, and matrix theory. We characterize all linear operators on finite or infinite-dimensional spaces of multivariate polynomials preserving the property of being non-vanishing whenever the variables are in prescribed open circu...
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作者：Zhang, De-Qi
作者单位：National University of Singapore
摘要：We prove a theorem of Tits type about automorphism groups for compact Kahler manifolds, which has been conjectured in the paper [9].
