談話会(2025/7/16)
学習院大学・数学科談話会のお知らせ
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日時: 2025年7月16日(水)
17:10 – 18:10 (終了後 tea-time)
場所: 学習院大学 南3号館 2階 202号室
- 講演者: Ju-Feng Wu 氏(University College Dublin)
- 講演題目: Arithmetic and p-adic Aspects of Automorphic Forms
- 講演要旨: Modular forms—or more generally, automorphic forms—are essential objects in number theory. They are certain analytic functions that satisfy deep symmetry properties and encode rich arithmetic information. A powerful strategy to extract such arithmetic information is via p-adic methods. In this talk, I will begin by motivating the study of p-adic automorphic forms through the lens of Fermat’s Last Theorem, which connects the world of elliptic curves and modular forms. I will then introduce key developments in the theory of p-adic modular forms, and describe my recent joint work with H. Diao and G. Rosso. I will conclude by discussing some future directions.
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