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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 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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