Berkovich analytification is a process that allows for the conversion of a variety over a non-Archimedean field into a new type of space called a Berkovich space. This transformation retains the algebraic structure of the original variety while enabling one to study its analytic properties, which is crucial in understanding the relationships between algebraic geometry and non-Archimedean analysis. Berkovich spaces provide a framework to analyze rational points and understand the geometry of varieties in a way that traditional methods cannot.
congrats on reading the definition of berkovich analytification. now let's actually learn it.