Mazur's principle for GU(1,2)

This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.

For more information, please refer to:

http://www.bimsa.cn/newsinfo/647938.html.

Abstract 

Mazur's principle gives a criterion under which an irreducible mod l Galois representation arising from a modular form of level Np (with p prime to N) can also arise from a modular form of level N. We prove an analogous result showing that a mod l Galois representation arising from a stable cuspidal automorphic representation of the unitary similitude group G=GU(1,2) which is Steinberg at an inert prime p can also arise from an automorphic representation of G that is unramified at p.

About the speaker 

傅豪，2016年本科毕业于北京大学，2019年获得巴黎高等师范学校数学硕士学位，随后在法国斯特拉斯堡大学攻读博士，导师为中科院晨兴数学中心田一超教授。

个人主页：

https://fchmlfh.github.io/