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Syllabus Additive Combinatorics - 80654
עברית
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Last update 03-10-2017
HU Credits: 4

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: tamar ziegler

Coordinator Email: tamarz@gmail.com

Coordinator Office Hours:

Teaching Staff:
Prof Tamar Ziegler-Lehavi

Course/Module description:
Discrete Fourier analysis, Roth’s theorem on 3 term progressions, Freiman-Ruzsa-Sanders theorem, Gowers theorem on 4 term progression,
Inverse theorem for the Gowers U3 norm, decomposition theorems and combinatorial factors, transference principle and Green Tao theorem (taking the number theoretic part as black box), bias and high rank for polynomials over finite fields.

Course/Module aims:

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

Attendance requirements(%):

Teaching arrangement and method of instruction:

Course/Module Content:
Inverse theorem for the Gowers U3 norm, decomposition theorems and combinatorial factors, transference principle and Green Tao theorem (taking the number theoretic part as black box), bias and high rank for polynomials over finite fields.

Required Reading:
none

Additional Reading Material:

Grading Scheme :

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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