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Syllabus HIGHER DIMENSIONAL EXPANDERS 1 - 80923
עברית
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Last update 14-08-2017
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: mathematics

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Prof. Alex Lubotzki

Coordinator Email: alexlub@math.huji.ac.il

Coordinator Office Hours: By appointment.

Teaching Staff:
Prof Alex Lubotzky

Course/Module description:
The course will deal with simplicial complexes and their homology/cohomology theory. We will be mainly interested in their expansion/mixing properties and the connection to the spectral theory of the higher dimensional Laplacians. The most important examples, which will be studied in detailed, will be affine buildings and their finite quotients.

Course/Module aims:
Familiarity with the area of simplicial complexes, and their (co)homology, as well as with the area of affine buildings and their finite quotients.

Learning outcomes - On successful completion of this module, students should be able to:
At the end of the course, the students will be ready to do research in the area of simplicial complexes and buildings.

Familiarity with various topics in the field of simplicial complexes and buildings.

Acquiring habits that will assist in independent research in the field.

Acquiring knowledge which will assist in the understanding of various mathematical disciplines.

Attendance requirements(%):
0

Teaching arrangement and method of instruction: Lecture

Course/Module Content:
The course will deal with simplicial complexes and their homology/cohomology theory. We will be mainly interested in their expansion/mixing properties and the connection to the spectral theory of the higher dimensional Laplacians. The most important examples, which will be studied in detailed, will be affine buildings and their finite quotients.

Required Reading:
N/A

Additional Reading Material:
N/A

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
 
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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