The Hebrew University Logo
Syllabus Fundamental lemmas and Fourier transform - 80995
close window close
PDF version
Last update 30-07-2020
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 1st Semester

Teaching Languages: English

Campus: E. Safra

Course/Module Coordinator: Dr. Ari Shnidman

Coordinator Email:

Coordinator Office Hours:

Teaching Staff:
Dr. Schneidman Ari

Course/Module description:
A *fundamental lemma* relates p-adic integrals on two different groups. An *arithmetic* fundamental lemma relates derivatives of p-adic integrals to arithmetic intersection numbers in a moduli space of p-divisible groups. We survey some recent pretty examples of each type, especially the works of Beuzart-Plessis, Li-Zhang, and Zhang. We'll also sketch how these results lead to special value formulas for automorphic L-functions (e.g. the Gan-Gross-Prasad conjecture) and Eisenstein series (the Siegel-Weil formula). The common thread in these new results is the Weil representation/Fourier transform.


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:

Required Reading:

Additional Reading Material:

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 %

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.