Math 608 Introduction to Arithmetic Geometry
Semester: Fall 2018
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Graduate Course
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| Inst : |
Asher Auel
asher * auel AT yale
* edu |
| Time : |
Mon Wed 1:00 - 2:15 pm |
| Loct : |
LOM 201 |
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| Office : |
LOM 210 |
| Phone : |
(203) 432-4187 |
Office
hours : |
to be announced |
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First official class meeting is on Friday, August 31, 2018.
Informal organizational meeting on Wednesday, August 29, 2018.
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Detailed course syllabus.
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Problem Set 1 (updated October 14)
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Final Exam
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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 K-theory, 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.
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