On Mazur's Dimension Conjecture for Global Deformation Rings
发布时间：2026年07月08日
浏览次数：5
发布者: He Liu
主讲人： Xinyao Zhang (University of Tokyo)
活动时间： 从 2026-07-14 14:00 到 15:00
场地： 北京国际数学研究中心，镜春园82号甲乙丙楼报告厅
Mazur’s dimension conjecture predicts that global deformation rings should have the expected Krull dimension dictated by the global characteristic formula. In this talk, I will discuss this conjecture for two-dimensional unrestricted deformation rings over G_{\mathbb Q}. The proof combines a local input from Paškūnas theory with global inputs such as a finiteness result between deformation rings and the Fontaine–Mazur conjecture. If time permits, I will also explain an analogous result in the residually reducible setting.
