Seminar| Institute of Mathematical Sciences
Time: Friday, April 11th, 2025,14:00-15:00
Location: IMS, RS408
Speaker:Peng Xu, Tongji Zhejiang College Jiaxing
Abstract: Let $p$ be a prime number, and let $F$ be a non-archimedean local field of residue characteristic $p$. In 2007, Paskunas proved that the restriction of supersingular representations of $GL_2 (F)$ to its Borel subgroup is irreducible, and that such a restriction in some sense controls the original representation. When $F= Q_p$, such a result was firstly discovered by Berger, using the theory of $(\varphi, \Gamma)$-modules and classification of supersingular representations. Restriction to a Borel subgroup plays a central role in the work of Colmez on the $p$-adic local Langlands correspondence of $GL_2 (Q_p)$. In this talk, I will discuss my recent work on the analogous restriction problem for the unramified unitary group $U(2,1)(E/F)$. All are welcome.