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作者：Spenko, Spela; Van den Bergh, Michel
作者单位：Vrije Universiteit Brussel; Hasselt University
摘要：In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We show in particular that quotient singularities for reductive groups always have non-commutative resolutions in an appropriate sense. Moreover we exhibit a large class of such singularities which have (twisted) non-commutative crepant resolutions. We discuss a number of examples, both new and old, that can be treated using our methods. Nota...
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作者：Geiss, Christof; Leclerc, Bernard; Schroeer, Jan
作者单位：Universidad Nacional Autonoma de Mexico; Universite de Caen Normandie; Centre National de la Recherche Scientifique (CNRS); Institut Universitaire de France; University of Bonn
摘要：We introduce and study a class of Iwanaga-Gorenstein algebras defined via quivers with relations associated with symmetrizable Cartan matrices. These algebras generalize the path algebras of quivers associated with symmetric Cartan matrices. We also define a corresponding class of generalized preprojective algebras. For these two classes of algebras we obtain generalizations of classical results of Gabriel, Dlab-Ringel, and Gelfand-Ponomarev. In particular, we obtain new representation theoret...
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作者：Liu, Ruochuan; Zhu, Xinwen
作者单位：Peking University; California Institute of Technology
摘要：We construct a functor from the category of p-adic ,tale local systems on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable connection on its base change to , which can be regarded as a first step towards the sought-after p-adic Riemann-Hilbert correspondence. As a consequence, we obtain the following rigidity theorem for p-adic local systems on a connected rigid analytic variety: if the stalk of such a local system at one point, regarde...
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作者：Avila, A.; Jitomirskaya, S.; Marx, C. A.
作者单位：Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite; Instituto Nacional de Matematica Pura e Aplicada (IMPA); University of California System; University of California Irvine; University System of Ohio; Oberlin College
摘要：The extended Harper's model, proposed by D.J. Thouless in 1983, generalizes the famous almost Mathieu operator, allowing for a wider range of lattice geometries (parametrized by three coupling parameters) by permitting 2D electrons to hop to both nearest and next nearest neighboring (NNN) lattice sites, while still exhibiting its characteristic symmetry (Aubry-Andre duality). Previous understanding of the spectral theory of this model was restricted to two dual regions of the parameter space, ...
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作者：Colmez, Pierre; Niziol, Wieslawa
作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; Sorbonne Universite; Ecole Normale Superieure de Lyon (ENS de LYON); Centre National de la Recherche Scientifique (CNRS)
摘要：We compute syntomic cohomology of semistable affinoids in terms of cohomology of (phi, Gamma)-modules which, thanks to work of Fontaine-Herr, Andreatta-Iovita, and Kedlaya-Liu, is known to compute Galois cohomology of these affinoids. For a semistable scheme over a mixed characteristic local ring this implies a comparison isomorphism, up to some universal constants, between truncated sheaves of p-adic nearby cycles and syntomic cohomology sheaves. This generalizes the comparison results of Kat...
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作者：[Anonymous]
