| Math 160b | |
| Number Theory |
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| Winter 2011-12 | |
Instructor: Andrei Jorza, 280 Sloan,
626-395-4369, ajorza@caltech.edu |
| The focus of this course is local class field theory, to be followed in the spring term by its companion course Math 160c
covering global class field theory. We will study local fields, their ramification and Galois groups, Galois cohomology, Brauer groups, local duality, the invariant map, the Euler characteristic formula and possibly explicit class field theory in Lubin-Tate towers and local Galois representations. The course assumes a working knowledge of abstract algebra and Galois theory. Math 160a is recommended but not necessary. A detailed syllabus, based on last year's course. |
| Policies: There will be weekly homework.
The lowest homework grade will be dropped, so no late homeworks accepted
except in special circumstances. Grades: The final grade will be based on the homeworks (60%) and a final exam (40%). |
There is no textbook for the course. The following references may be useful:
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