Volume 3, Issue 6-2, December 2014, Page: 12-19
Moduli Spaces, Non-Commutative Geometry and Deformed Differential Categories
Ivan Verkelov, Research Group-Tescha, Dept. of Mathematics, Baikov Institute, Baikov, Russia
Received: Oct. 25, 2014;       Accepted: Nov. 2, 2014;       Published: Nov. 5, 2014
DOI: 10.11648/j.pamj.s.2014030602.13      View  2900      Downloads  103
Abstract
The following research plays a central role in deformation theory. If x, is a moduli space over a field k, of characteristic zero, then a formal neighborhood of any point xϵx, is controlled by a differential graded Lie algebra. Then using the derived categories language we give an analogous of the before sentence in the setting of non-commutative geometry, considering some aspects E∞— rings and derived moduli problems related with these rings. After is obtained a scheme to spectrum; by functor Spec and their ∞— category functor inside of the space Fun_(hoat_∞ )to these E∞— rings and their derived moduli in field theory.
Keywords
Deformed Category, E∞— Rings, Formal Moduli Problem, Koszul Duality, Non-Commutative Geometry
To cite this article
Ivan Verkelov, Moduli Spaces, Non-Commutative Geometry and Deformed Differential Categories, Pure and Applied Mathematics Journal. Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program. Vol. 3, No. 6-2, 2014, pp. 12-19. doi: 10.11648/j.pamj.s.2014030602.13
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