8,249 research outputs found

    Harris-Viehmann conjecture for Hodge-Newton reducible Rapoport-Zink spaces

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    Rapoport-Zink spaces, or more generally local Shimura varieties, are expected to provide geometric realization of the local Langlands correspondence via their ll-adic cohomology. Along this line is a conjecture by Harris and Viehmann, which roughly says that when the underlying local Shimura datum is not basic, the ll-adic cohomology of the local Shimura variety is parabolically induced. We verify this conjecture for Rapoport-Zink spaces which are Hodge type and Hodge-Newton reducible. The main strategy is to embed such a Rapoport-Zink space into an appropriate space of EL type, for which the conjecture is already known to hold by the work of Mantovan.Comment: 22 pages, to appear in the Journal of the London Mathematical Societ

    Classification of quotient bundles on the Fargues-Fontaine curve

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    We completely classify all quotient bundles of a given vector bundle on the Fargues-Fontaine curve. As consequences, we have two additional classification results: a complete classification of all vector bundles that are generated by a fixed number of global sections and a nearly complete classification of subbundles of a given vector bundle. For the proof, we combine the dimension counting argument for moduli of bundle maps developed in [BFH+17] with a series of reduction arguments based on some reinterpretation of the classifying conditions.Comment: 40 pages, 15 figure

    The promised territories: the production of branded housing projects in contemporary Turkey

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    Cities in Turkey, following the neoliberal restructuring of the country, have undergone a process of transformation in the last decade at a greater pace than experienced in previous periods. Through these processes, while new territories have been constructed, previous formations have been dismantled. While some of these constructed territories are abstract (e.g. Nomenclature of Units for Territorial Statistics [NUTS] regions), some are tangible and physically defined such as branded housing enclaves. Branded housing projects produce territories in the form of housing enclaves, which provide key services and facilities within their confines exclusively for project residents. By 2013, the number of branded housing projects located in Istanbul alone numbered 852 with the number of units provided by these projects amounting to 7.7% of the total housing stock the city (Sarıçayır 01/21/2014). This paper argues that these territories are co-produced by political society and civil society (in Gramscian terms): while political society regulates and directly contributes to the production of these territories through public actors involved in the branded housing projects, civil society contributes through the production of social consent for such developments. The article discusses the role of political society and civil society in the production of branded housing projects by focusing on the case of Emlak Konut GYO (Real Estate Partnership) projects developed in Istanbul between 2003 and 2014. Firstly, the role of political society is discussed through the roles of TOKI (Housing Development Administration of Turkey) and Emlak Konut GYO as major public actors in the development of these territories; and secondly, the role of civil society is discussed through excavating the traces of production of social consent for branded housing projects in news articles published on Emlak Konut GYO projects between 2003 and 2014. The paper concludes that branded housing projects are emerging as spatial territories in contemporary Turkey as a result of hegemonic struggle through political society and civil society

    On the Hodge-Newton filtration for p-divisible groups of Hodge type

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    A p-divisible group, or more generally an F-crystal, is said to be Hodge-Newton reducible if its Hodge polygon passes through a break point of its Newton polygon. Katz proved that Hodge-Newton reducible F-crystals admit a canonical filtration called the Hodge-Newton filtration. The notion of Hodge-Newton reducibility plays an important role in the deformation theory of p-divisible groups; the key property is that the Hodge-Newton filtration of a p-divisible group over a field of characteristic p can be uniquely lifted to a filtration of its deformation. We generalize Katz's result to F-crystals that arise from an unramified local Shimura datum of Hodge type. As an application, we give a generalization of Serre-Tate deformation theory for local Shimura data of Hodge type. We also apply our deformation theory to study some congruence relations on Shimura varieties of Hodge type.Comment: 31 page

    Information Modeling for a Dynamic Representation of an Emergency Situation

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    In this paper we propose an approach to build a decision support system that can help emergency planners and responders to detect and manage emergency situations. The internal mechanism of the system is independent from the treated application. Therefore, we think the system may be used or adapted easily to different case studies. We focus here on a first step in the decision-support process which concerns the modeling of information issued from the perceived environment and their representation dynamically using a multiagent system. This modeling was applied on the RoboCupRescue Simulation System. An implementation and some results are presented here.Comment:

    On the Hodge-Newton filtration for p-divisible groups of Hodge type

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    A p-divisible group, or more generally an F-crystal, is said to be Hodge–Newton reducible if its Newton polygon and Hodge polygon have a nontrivial contact point. Katz proved that Hodge–Newton reducible F-crystals admit a canonical filtration called the Hodge–Newton filtration. The notion of Hodge–Newton reducibility plays an important role in the deformation theory of p-divisible groups; the key property is that the Hodge–Newton filtration of a p-divisible group over a field of characteristic p can be uniquely lifted to a filtration of its deformation. We generalize Katz’s result to F-crystals that arise from an unramified local Shimura datum of Hodge type. As an application, we give a generalization of Serre–Tate deformation theory for local Shimura data of Hodge type

    Evrensel İlkeler Işığında Yerel Değerlerin Anlamlandırılması Olanaklı Mıdır? Kant’ın Ahlâk İlkesinin Uygulanmasına Dair Öneriler

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    İlk kez derli toplu bir biçimde Aydınlanma Çağının en önemli ve etkili filozofu İmmanuel Kant’ın dillendirdiği evrensel ahlâk yasası uyarınca insan öyle eylemelidir ki, davranışıyla insanı araç haline getirmesin. Kültürden, toplumun koşullarından, geleneklerden ve dinsel etkilerden arındırılmış bu ilkenin buyurganlığı herhangi bir koşul ya da sınır tanımamasıyla ünlüdür. Oysa insanlar, hem bireysel hem de toplumsal gerekçelerle bu formel ilkeyle kendilerini her zaman bir çekişme içinde bulurlar. Kant’ın ahlâk anlayışı açısından etik değerlerin herhangi bir kültürel, toplumsal ya da siyasal baskı ya da ilgi içerisinde anlaşılmaması gerekir. Bu ilke(ler) evrenseldir; ulusal ya da yerel çerçeveyle sınırlı görülemezler. Oysa özellikle ulusal sınırlarla belirlenmiş topraklarda yaşayan toplumlann kendi kültürlerinden geleneklerinden süzülerek gelen değerler her zaman bu evrensel ilkelerle uyum içinde değildirler. Aralarında gerilim arttığında genellikle evrensel ilkeler lehinde çözüme gidilmek istenir. Yani yerel değerler yeniden anlamlandırılır. Toplumlann örgütlenmesinde rol oynayan faktörlerin pek çoğunun devredışı bırakılmasının nedeni bunlann, sorunlan çözmekten ziyade artırdığının apaçık olmasıdır. Söz gelişi Ortaçağ boyunca Avrupa’da yaşanmış mezhep çatışmalan, ahlâk ilkelerininin dinsel değerler tarafından tanımlanmasının önündeki en büyük engeldir. Kant’m ahlâk felsefesinin Hıristiyanlık idealleri üzerine kurulmadığı apaçıktır, lyi’nin kökeninde günah/sevap ya da kutsal metinlerin buyurganlığı yoktur. Bunun böyle olmasının bir nedeni de ortaçağlar boyunca Avrupa’da yaşanmış olduğunu gözlemlediğimiz dinsel çatışmalann ahlâk ilkelerinin evrenselleşmesini önlemesidir. İyi ya da doğrunun belirli bir inanç sisteminin önceliklerine terk edilmesi fanatizmi azaltacağına güçlendirmiştir. Yani iyi bir Hıristiyan olmak iyi ahlâklı bir insan olmaktan önce gelmesi eleştirilmektedir. Kısacası ahlâkın temeline dinsel bir dayanak yerleştirmektense, aklı koyan bir yaklaşım söz konusudur. Dinsel çatışmalar bu tercihin yapılmasını kolaylaştırmıştır. Bu noktada ulusal değerler çok daha büyük güçlükler doğurmaktadır; çünkü tarihin kaydettiği olaylar, homojen bir değerler bütünlüğü olmadığım düşündürmektedir. Sonuç olarak, evrensel bir ahlâk ilkesine duyulan ihtiyaç ile içinde yaşadığımız çağın gerçekleri arasındaki makasın açılması tepeden dayatma tehlikesini artırırken, makasın kapanması toplumsal ilerlemenin ve gelişmenin meşruluğuna katkıda bulunmaktadır. Bu bildiride evrensel ilkelerin yerel değerleri anlamlandırmasının olanaklılığı, Kant’ın ahlâk felsefesi model alınarak sorgulanacaktır
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