Tensor products in non-commutative geometry and higher deformation theory University of Antwerp
Algebraic Geometry is a mathematical discipline based on a symbiotic two-directional dictionary between the fields of Algebra and Geometry. Roughly, it is a dictionary from equations (algebra) to geometrical figures (geometry) and vice versa. For example, given the equation y=x^2, we can draw its corresponding figure, in this case a parabola. We can add a third language to that dictionary, which is the highly abstract field of category theory. ...