This course will emphasize model theoretic algebra. We will consider the model theory of fields, including algebraically closed, real-closed, and p-adically closed fields; algebraically closed valued fields; and also general questions of definability in fields. As time permits, we will consider more recent applications of model theory in number theory and arithmetic geometry. Ideally, the student should understand what it means to be first-order definable and should have the equivalent of a year's study of abstract algebra. To study various applications, it will be necessary to assume certain results from the areas of application, i.e., without proving them ab initio.
||Gen Ed Area Dept:
|Course Format: Lecture||Grading Mode: Graded|
||Fulfills a Major Requirement for: (MATH)
||Past Enrollment Probability: 90% or above
|Major Readings: Wesleyan RJ Julia Bookstore
|Examinations and Assignments: |
Frequent problem sets and take-home final.
|Additional Requirements and/or Comments: |
Graduate course, open to qualified undergraduates.
|Instructor(s): Hill,Cameron Donnay Times: .M.W.F. 10:00AM-10:50AM; Location: SCIE618; |
|Total Enrollment Limit: 15||SR major: 0||JR major: 0|| || |
|Seats Available: 4||GRAD: 15||SR non-major: 0||JR non-major: 0||SO: 0||FR: 0|
|Drop/Add Enrollment Requests|
|Total Submitted Requests: 0||1st Ranked: 0||2nd Ranked: 0||3rd Ranked: 0||4th Ranked: 0||Unranked: 0|