The Hebrew University Logo
Syllabus Topics in number theory and algebraic geometry 2 - 80943
close window close
PDF version
Last update 03-03-2020
HU Credits: 1

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: English and Hebrew

Campus: E. Safra

Course/Module Coordinator: Prof Yakov Varshavsky

Coordinator Office Hours: by appointment

Teaching Staff:
Prof Michael Temkin

Course/Module description:
The goal of the seminar will be to give a (relatively) gentle introduction to various topics, which should be
accessible to beginning but motivated Master and PhD. students.

The tentative plan for the first part of this semester is to study irreducible representations of "finite groups of Lie type"
such as SL(2,F_q), GL(n,F_q) etc.

In particular, we are going to present a beautiful theory of Deligne and Lusztig (P. Deligne and G. Lusztig, "Representations
of reductive groups over finite fields.", Ann of Math, 103 (1976), 103–161).

In the first lecture we will try to describe this theory in the simplest cases, like SL(2,F_q) and GL(2,F_q).

Prerequisites: Basic representation theory of finite groups.

Course/Module aims:

Learning outcomes - On successful completion of this module, students should be able to:

Attendance requirements(%):

Teaching arrangement and method of instruction: Lecture

Course/Module Content:

Required Reading:

Additional Reading Material:
P. Deligne and G. Lusztig, "Representations of reductive groups over finite fields.", Ann of Math, 103 (1976), 103–161.

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

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.