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Syllabus First-order theory of the free group - 80698
עברית
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Last update 09-09-2018
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 1st Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Chloe Perin

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

Coordinator Office Hours:

Teaching Staff:
Dr. Chloe Perin

Course/Module description:
This seminar aims to survey some of the recent results concerning the model theory of the free group that followed the works of Sela. We will try to cover both the model theoretic context of stable groups, in which the questions arise, and the techniques from geometric group theory, with which they are solved.

Course/Module aims:

Learning outcomes - On successful completion of this module, students should be able to:
Understand recent results on the model theory of the free group.

Attendance requirements(%):

Teaching arrangement and method of instruction: Seminar - the student give talks in turn. In addition, there will be an "exercise class" every week that will be an opportunity to go over the lecture and understand it more deeply.

Course/Module Content:
A tentative (and possibly over ambitious) list of topics includes: connectedness, homogeneity, elementary subgroups, description of generic sets, ampleness, forking, equationality, weight.

Required Reading:
None

Additional Reading Material:

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:
The lectures and exercise classes will be in english.
 
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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