This course will present results, originating with the Ax-Chochen and Ershov, on the model theory of valued fields, and will apply these results to resolve certain Diophantine problems over local fields. Necessary material from valuation theory will be developed as needed, but students should already have taken an introductory course on model theory. Homework will be assigned regularly.
COURSE FORMAT: Lecture
Level: GRAD Credit: 1 Gen Ed Area Dept: NONE Grading Mode: Graded
Prerequisites: MATH543 AND MATH544 AND MATH523 AND MATH524
Last Updated on MAR-24-2000
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