Answer
In Algebraic Geometry, the Grothendieck-Riemann-Roch theorem establishes a deep connection between the geometry of algebraic varieties and their function theory. It provides a powerful tool to study the behavior of meromorphic functions on algebraic varieties, allowing mathematicians to calculate their dimensions and determine their singularities. This theorem has far-reaching implications in various areas of mathematics, such as number theory, algebraic topology, and representation theory.