101,428 research outputs found

    The motivic Satake equivalence

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    We refine the geometric Satake equivalence due to Ginzburg, Beilinson–Drinfeld, and Mirković–Vilonen to an equivalence between mixed Tate motives on the double quotient L+G LG/ L+G and representations of Deligne’s modification of the Langlands dual group G^

    Optimal Layout Design for Agricultural Facility Using Simulated Annealing

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    Rosana G. Moreira, Editor-in-Chief; Texas A&M UniversityThis is a Technical Paper from International Commission of Agricultural Engineering (CIGR, Commission Internationale du Genie Rural) E-Journal Volume 5 (2003): T. Satake, O. Sataka, Y. Ohta, and T. Furuya. Optimal Layout Design for Agricultural Facility Using Simulated Annealing. Vol. V. May 2003

    Affine Grassmannians and geometric Satake equivalences

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    I extend the ramified geometric Satake equivalence of Zhu [34] from tamely ramified groups to include the case of general connected reductive groups. As a prerequisite I prove basic results on the geometry of affine flag varieties

    The geometric Satake correspondence for ramified groups

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    We prove the geometrical Satake isomorphism for a reductive group defined over F=k((t)), and split over a tamely ramified extension. As an application, we give a description of the nearby cycles on certain Shimura varieties via the Rapoport-Zink-Pappas local models

    Die Apokalypse des Johannes

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    Witulski T, Satake A. Die Apokalypse des Johannes. Kritisch-exegetischer Kommentar über das Neue Testament. Vol 16 1. Aufl. Göttingen: Vandenhoek & Ruprecht; 2008

    Three-dimensional measurement with two cameras of a turbulent pipe flow by digital holographic-PTV

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    Three-dimensional simultaneous measurements of velocity field in a turbulent pipe flow are performed by digital holographic velocimetry. We proposed holography technique with two laser beams. For this study, the Reynolds numbers was set to be 15000. The accuracy of the experimental method was confirmed by comparing the results from the method with DNS data by Satake et al. [4] when using the same Reynolds number. The velocity profiles obtained from the method was found to be in good agreement with that of the DNS data

    Twisted geometric Satake equivalence

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    We generalize the classical Satake equivalence as follows. Let k be an algebraically closed field, set O=k[[t]] and F=k((t)). For an almost simple algebraic group G we classify central extensions of G(F) by the multiplicative group. Any such extension E splits canonically over G(O). Consider the category of G(O)-biinvariant perverse sheaves on E with a given Gm-monodromy . We show that this is a tensor category, which is tensor equivalent to the category of representations of a reductive group. We compute the root datum of this group.Comment: 22 pages, a reference to Lusztig is added. Final version to appear in J. of the Institute of Math. of Jussie

    Kuga-Satake construction and cohomology of hyperkähler manifolds

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    Let M be a simple hyperkähler manifold. Kuga-Satake construction gives an embedding of into the second cohomology of a torus, compatible with the Hodge structure. We construct a torus T and an embedding of the graded cohomology space for some l, which is compatible with the Hodge structures and the Poincaré pairing. Moreover, this embedding is compatible with an action of the Lie algebra generated by all Lefschetz -triples on M

    Assessment of soluble cytotoxic T lymphocyte-associated antigen-4, transforming growth factor β1, and platelet-derived microparticles during dasatinib therapy for patients with chronic myelogenous leukemia

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    Shosaku Nomura, Tomoki Ito, Atsushi Satake, Kazuyoshi Ishii First Department of Internal Medicine, Kansai Medical University, Hirakata, Osaka, Japan Background: The outcome for chronic myelogenous leukemia (CML) patients presented in the chronic phase has changed dramatically since the introduction of tyrosine kinase inhibitor (TKI) therapy. Notably, an increased incidence of large granular lymphocytes (LGLs), which is related to immunological conditions, appears to be predictive of a favorable outcome for dasatinib therapy. We therefore examined the immunological characteristics of CML patients during dasatinib therapy by determining the plasma concentrations of five different biomarkers. Methods: The plasma levels of biomarkers, specifically interleukin-6, platelet-derived microparticles (PDMPs), soluble vascular cell adhesion molecule 1 (sVCAM-1), transforming growth factor (TGF) β1, and soluble cytotoxic T lymphocyte-associated antigen-4 (sCTLA-4), were measured by ELISA at baseline and after 2 and 6 months of TKI treatment. The incidence of LGLs was estimated by microscopic examination. Results: The levels of PDMPs, sVCAM-1, and TGFβ1 were significantly elevated in patients with CML. Dasatinib treatment was associated with a significant reduction in the levels of these markers and with an increased incidence of LGLs compared with imatinib or nilotinib treatment. In addition, an increased incidence of LGLs was significantly correlated with a decreased sCTLA-4 level during dasatinib therapy. Conclusion: The assessment of the levels of specific biomarkers may be beneficial to understand the immunological conditions of patients with CML during dasatinib treatment. Keywords: CML, TKI, LGL, PDMP, TGFβ1, sCTLA-
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