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

Rapoport-Zink spaces, or more generally local Shimura varieties, are expected to provide geometric realization of the local Langlands correspondence via their $l$-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 $l$-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

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

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

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

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

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