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Syllabus Fundamental lemmas and Fourier transform - 80995
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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: ariel.shnidman@mail.huji.ac.il

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.

References:
https://arxiv.org/pdf/1901.02653.pdf
https://arxiv.org/pdf/1908.01701.pdf
https://arxiv.org/pdf/1909.02697.pdf

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:
 
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