Instructor | Paul Vojta |
---|---|
Lectures | MWF 10:10–11:00, online |
Class Number | 24630 |
Office | 883 Evans |
E-Mail: | vojta@math.berkeley.edu |
Office Hours | TBD |
Prerequisites | Math 254A and 256A |
Required Text | None |
Catalog Description | Math 254AB: Valuations, units, and ideals in number fields, ramification theory, quadratic and cyclotomic fields, topics from class field theory, zeta-functions and L-series, distribution of primes, modular forms, quadratic forms, diophantine equations, p-adic analysis, and transcendental numbers. |
Syllabus | I plan to cover the more advanced topic of Arakelov theory, including applications to diophantine problems. |
Grading | Grades will be based on homework assignments, and possibly in-class quizzes. There will be no final exam, but the last problem set will be due sometime during the week of final exams. |
Homework | Weekly or biweekly, assigned in class |
No. | Date | Title | Download | |
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1 | January 22 | Solution to Hartshorne II Ex. 3.15 | download | |
2 | January 29 | Nonsingular projective curves and their function fields | dvi | |
3 | February 6 | Chapter 0: Preliminary material (for reference only) (revised 2/13) | dvi | |
4 | February 13 | Chapter 1: Heights | dvi | |
5 | March 1 | Chapter 2: Weil functions | dvi |
Solutions will be posted on bCourses after each assignment has been graded.
To submit your assignments, use bCourses. I have set it to accept only pdf files.
No. | Due | Assignment | Notes | |
---|---|---|---|---|
1 | 2/3 | dvi | ||
2 | 2/10 | dvi | ||
3 | 2/19 | dvi | ||
4 | 3/3 | dvi |
The following policies apply to the homework assignments.
Last updated 1 March 2021