Math 608 Introduction to Arithmetic Geometry
Semester: Fall 2018


Graduate Course

Inst : 
Asher Auel
asher * auel AT yale
* edu 
Time : 
Mon Wed 1:00  2:15 pm 
Loct : 
LOM 201 

Office : 
LOM 210 
Phone : 
(203) 4324187 
Office hours : 
to be announced 

First official class meeting is on Friday, August 31, 2018.
Informal organizational meeting on Wednesday, August 29, 2018.

Detailed course syllabus.

Problem Set 1 (updated October 14)

Final Exam

Description of course:
This course will explore some of the major themes in arithmetic
geometry. Topics will include Galois cohomology and descent,
principal homogeneous spaces, quadratic forms and the Brauer group,
Milnor Ktheory, as well as the existence of rational points. Of
particular interest will be varieties over finite fields, number
fields, and functions fields.
Expected background:
Prior experience with algebra and Galois theory will be necessary.
Some exposure to algebraic geometry will be useful, but may be taken
in conjunction with a beginning algebraic geometry course.
Grading:
Your grade will be based on class participation, problem sets, and a
final exam.
