Time：14:00-15:00, Wednesday, October 25 2023
Venue：E4-233 & ZOOM
ZOOM ID: 921 6725 8223
Passcode：064984
Speaker：Rufei Ren, Fudan University
Title：Progressions on the local Gouvea-Mazur conjecture
Abstract：
Gouvea and Mazur in [GM92] conjecture that the Up-slopes of two modular spaces Sk1(Γ0(Np)) and Sk2(Γ0(Np)) are the same at least up to vp(k1 - k2). In this talk, I will introduce the progressions on this conjecture, especially on its local version.
The talk is mainly based on the current results from Ruochuan Liu, Nha Truong, Liang Xiao, and Bin Zhao on the local Ghost conjecture, and mine on the local Gouvea-Mazur conjecture.
