Study of the analytic fundamental group via differential methods

Линиите свързват координатора с партньорите. За проекти отпреди 2014 г. CORDIS не винаги дава точни координати. Тези точки са на ниво град или държава.

Накратко на български

Цел на проекта

Research objectives and content The aim of the research is to study the analytic fun- damental group of punctured disc imbedded in the rigid analytic variety associated to the affine line over a p-adic field. A better understanding of this group is required, if we want to find a good category of etale analytic coefficient sheaves, which would be stable under the usual six coho- mological operations. and moreover would be preserved by the itale Fourier transform (which I defined first in my PhD thesis and studied subsequently in the paper cited in the detailed research proposal). The method proposed is to associate to any padic lisse itale sheaf, a certain p-adic differential equation, in a func- torial way. This idea is due originally to J.M. Fontaine, who implemented it in the case of padic representations of local fields, and asked for a global analogue of his construction. Training conlent (obyive, benefit and expecteJ impact) For the completion of the project, I will need to get acquainted with a variety of techniques, such as Faltings's work on the mysterious functor, Fontaine-Laffaille's theory and with the work of Christol-Mehbkout on the index of padic differential equations, to name a few.

Оригинален текст от CORDIS (на английски).

Участници

• UNIVERSITE PIERRE ET MARIE CURIE - PARIS VI · PARISКоординаторФранция
• Not availableНиво градИталия

Връзки

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