HU Credits:
3
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Michael Temkin
Coordinator Office Hours:
by appointment
Teaching Staff:
Prof Michael Temkin
Course/Module description:
We will study the theory of valuations and valued fields from the very basics to advanced topics which are subject of current research, such as the theory of transcendental extensions.
The only prerequisite is the Galois theory (Algebraic structures II).
Course/Module aims:
Learning outcomes - On successful completion of this module, students should be able to:
Not relevant
Attendance requirements(%):
Teaching arrangement and method of instruction:
Course/Module Content:
Valuation rings and valued fields;
rank and composition of valuations;
valued fields of height one and their completion; henselization of valued fields;
algebraic extensions of valued fields and basic ramification theory;
wild ramification,
different and Herbrand function;
transcendental extensions
Required Reading:
notes will be posted during the course; reading material before the lecture is mandatory; evaluation will be based on reading the notes and participation in class
Additional Reading Material:
Grading Scheme :
Active Participation / Team Assignment 100 %
Additional information:
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