Syllabus - Advanced research seminar in Homotopy theory (80791)

Syllabus Advanced research seminar in Homotopy theory - 80791
עברית

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.
Print

PDF version
Last update 30-04-2015
HU Credits: 2 Degree/Cycle: 2nd degree (Master) Responsible Department: Mathematics Semester: 1st Semester Teaching Languages: Hebrew Campus: E. Safra Course/Module Coordinator: Prof Emmanuel Farjoun Coordinator Email: Coordinator Office Hours: Teaching Staff: Prof Tomer Schlank Course/Module description: The seminar aims at getting a handle on a homotopy version of the concept of 2-category via simplicial spaces. We will begin with reading several sections of a paper by Rezk on "complete Segal spaces" This paper gives a good framework to work with infty categories via simplicial spaces. We will continue by reading a part of the work of Rezk on n-categories with the emphasis on 2-categories. We can then consider the infty category "all categories" which can be regarded first as a model category and then as a 2-category. This allows good approach to adjoint functors, duality and other basic concepts. 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: Lecture Course/Module Content: The seminar aims at getting a handle on a homotopy version of the concept of 2-category via simplicial spaces. We will begin with reading several sections of a paper by Rezk on "complete Segal spaces" This paper gives a good framework to work with infty categories via simplicial spaces. We will continue by reading a part of the work of Rezk on n-categories with the emphasis on 2-categories. We can then consider the infty category "all categories" which can be regarded first as a model category and then as a 2-category. This allows good approach to adjoint functors, duality and other basic concepts. Required Reading: none Additional Reading Material: none 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:

Print