Syllabus GEOMETRIC METHODS IN REPRESENTATION THEORY - 80772
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 close PDF version Last update 03-03-2020 HU Credits: 3 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 Email: yakov.varshavsky@mail.huji.ac.il Coordinator Office Hours: by appointment Teaching Staff: Prof Yakov Varshavsky Course/Module description: The goal of this course is to give a geometric construction (known as Springer correspondence) of irreducible representations of the symmetric group. In order to carry out the construction, we will study several very interesting and important topics of independent interest, such as: - Derived categories of sheaves and derived functors. - Perverse sheaves (very mysterious objects with extremely nice properties, which have a lot of nice applications, the most famous of which is the proof of "Fundamental lemma" by Ngo). Remark: Springer correspondence, along with its generalizations due to Lusztig, plays a key role in Lusztig's classification of the irreducible representations of "finite groups of Lie type" and hence has applications to the local Langlands correspondence. Prerequisites: Basic algebraic geometry, basic category theory, notion of sheaves. Course/Module aims: N/A Learning outcomes - On successful completion of this module, students should be able to: N/A Attendance requirements(%): 0 Teaching arrangement and method of instruction: lecture Course/Module Content: TBA Required Reading: No Additional Reading Material: Neil Chriss and Victor Ginzburg "Representation theory and complex geometry" Dasten Clausen "The Springer correspondence" https://www.math.harvard.edu/media/clausen.pdf 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 % TBA Additional information: No Print