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: shaul.zemel@mail.huji.ac.il

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(%):
0

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:
None

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:
None