Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program
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Research Department in Mathematics and Engineering, Technological Institute of High Studies of Chalco (TESCHA),
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Derived categories and their deformed versions are used to develop a theory of the ramifications of field studied in the geometrical Langlands program to obtain the correspondences between moduli stacks and solution classes in field theory, represented cohomologically under several versions of generalized Penrose transforms.