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Prime, integral, rational, real, complex numbers and modular forms

- Speaker：Shunsuke Yamana (The Hakubi Center for Advanced Research)
- Date：20th October 2015 (Tuesday), 16:30-
- Venue：The Hakubi Center for Advanced Research (iCeMS West Wing 2F, Seminar Room)
- Presentation Language：English (This seminar is open for students and researchers at Kyoto Univ.)

An outstanding mathematician Martin Eichler commented that there were five elementary operations of mathematics: addition, subtraction, multiplication, division and modular forms. Even though number theoretic problems look simple, we sometimes learn answers from highly mysterious objects. Modular forms and L-functions are good examples: Andrew Wiles solved Fermat's last theorem by demonstrating that L-functions of elliptic curves born of modular forms. My recent project is to construct modular forms systematically and explicitly. I hope my talk will help convince audiences, who are not familiar with mathematics, that modular forms know many more mysteries of numbers.

Before this seminar, Stefan-san (Hakubi 5th batch) will give a brief talk on his recent activities.