n-Dimensional global correspondences of Langlands over singular schemes (II)

Abstract

A rather complete phenomenology of the singularities is developed according to a new algebraic point of view in the frame of Langlands global correspondences. That is to say,a process of: -singularizations and versal deformations of these, -singularizations and monodromies of these, is envisaged on all the sections of sheaves of differentiable (bi)functions on (bi)linear algebraic (semi)groups constituting the n-dimensional representations of the global Weil groups. To get the searched holomorphic and cuspidal representations,it is necessary to consider: -the resolutions of the singularities and the blowups of the versal deformations; -the resolutions of the singularities in the monodromy cases. Furthermore, the geometry of the versal deformations and of their blowups is studied, as well as the associated dynamics leading to the consideration of singular hyperbolic attractors and of singular strange attractors.

arXiv comment117 pages

References in corpus (1)

• n-Dimensional global correspondences of Langlands

Cited by in corpus (5)

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• n-Dimensional geometric-shifted global bilinear correspondences of Langlands on mixed motives III
• The Thurston's program derived from the Langlands global program with singularities
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• Generalized modular forms including the weak Maass forms,the Ramanujan's Theta functions and the Tau function