Introduction to Algebraic Geometry

Course Code :1000WETIAM
Study domain:Mathematics
Academic year:2017-2018
Semester:1st semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Lieven Le Bruyn

3. Course contents *

Algebraic geometry is the theory that uses geometric insight to discover new results in number theory. We introduce the prime spectrum and etale extensions, which are ringtheoretic counterparts of coverings of manifolds. We introduce the etale fundamental group and use it to give an analogy between prime numbers and knots, reciprocity results and link behavior.