From primes to prime ideals, between algebra and geometry

19-25 August 2019

Title of the course: From primes to prime ideals, between algebra and geometry
Instructor: Dr. Matteo Paganin
Institution: Sabancı Ü.
Dates: 19-25 August 2019
Prerequisites: A basic knowledge of ring, ideals and polynomial rings is enough.
Level: Advance Undergradate / Graduate
Abstract: The aim of this course is to give a concise summary of the process of substituting prime numbers with prime ideals (in the explicit context of number rings and rings of polynomials) and finally to switch to the geometric point of view defining the spec of a ring and giving a brief correspondence between the geometrical and algebraic points of views.
Language: TR, EN