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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
English
Campus:
E. Safra
Course/Module Coordinator:
Dr. Jasmin Matz
Coordinator Office Hours:
by appointment
Teaching Staff:
Dr. Jasmin Matz
Course/Module description:
Smooth representations of reductive groups, especially GL_n, over local fields and Hecke algebras.
Admissible, irreducible, quasi- and supercuspidal representations, and the uniform admissibility theorem.
Classification of irreducible representations.
Course/Module aims:
Same as in learning outcomes.
Learning outcomes - On successful completion of this module, students should be able to:
Ability to prove and apply the theorems presented in the course.
Ability to apply correctly the mathematical methodology in the context of the course.
Acquiring the fundamentals as well as basic familiarity with the field which will assist in the understanding of advanced subjects.
Ability to understanding and explain the subjects taught in the course.
Attendance requirements(%):
Teaching arrangement and method of instruction:
Lectures
Course/Module Content:
Smooth representations of reductive groups, especially GL_n, over local fields and Hecke algebras.
Admissible, irreducible, quasi- and supercuspidal representations, and the uniform admissibility theorem.
Classification of irreducible representations.
Required Reading:
none
Additional Reading Material:
DeBacker's lecture notes:
http://www.math.lsa.umich.edu/~smdbackr/MATH/notes.pdf
Bernstein's lecture notes:
http://www.math.tau.ac.il/~bernstei/Publication_list/publication_texts/Bernst_Lecture_p-adic_repr.pdf
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 100 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
none
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