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Syllabus Valued Fields - 80583
עברית
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Last update 02-09-2018
HU Credits: 3

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Michael Temkin

Coordinator Email: michael.temkin@mail.huji.ac.il

Coordinator Office Hours:

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

Additional Reading Material:

Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 100 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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