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Syllabus Group Cohomology and its Applications to Number Theory - 80937
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Last update 06-09-2021
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Dr. Shaul Zemel

Coordinator Email:

Coordinator Office Hours: By appointment

Teaching Staff:
Dr. Shaul Zemel

Course/Module description:
Introduction to Group cohomology, and its basic applications in number theory

Course/Module aims:
To learn properties and applications of group cohomology

Learning outcomes - On successful completion of this module, students should be able to:
To know the methods of work with group cohomology

Attendance requirements(%):

Teaching arrangement and method of instruction: Lectures

Course/Module Content:
Group cohomology,
Inflation-Restriction sequence,
Herbrandt quotient,
Tate's theorem,
Galois cohomology,
Hilbert's theorem 90,
Brauer group of a field,
The invariant of a division algebra over a local field

Required Reading:

Additional Reading Material:
Cassels, Froehlich, ``Algebraic Number Theory''

Serre, ``Local Fields''

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.