No.57 Seminar ： Langlands Program
- Yoichi Mieda (The Hakubi Center for Advanced Research)
- 2013/03/05 4:00pm
- The Hakubi Center for advanced research (iCeMS West Wing 2F, Seminar Room)
- Japanese
Summary
The Langlands program is a web of conjectures in modern number theory, whose scope is quite broad. Roughly speaking, it predicts that certain kinds of problems on integers and prime numbers can be solved by using automorphic forms, which are highly symmetric functions. Nowadays the Langlands program is formulated in the very sophisticated language of representation theory, and my own research is along this line. On the other hand, many elementary and beautiful theorems can be regarded as consequences of a part of the Langlands program, such as Fermat’s last theorem. In this talk, I would like to explain what the Langlands program proposes by discussing these results.