中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人：钱子诚 博士（University of Toronto）
题 目：Moduli of Fontaine--Laffaille modules and mod p local-global compatibility: overview
时 间：2021.07.12（星期一），09:00-11:00
地 点：腾讯会议：760 278 516
摘 要：In a joint work with D. Le, B. V. Le Hung, S. Morra and C. Park, we prove under standard Kisin--Taylor--Wiles condition that the Hecke eigenspace attached to a mod p global Galois representation $\overline{r}$ determines the restriction $\overline{\rho}$ of $\overline{r}$ at a place $v$ about p, if $v$ is unramified over $p$ and a generic Fontaine--Laffaille weight is modular for each place above $p$. The genericity assumption is mild and explicit. In this talk, we sketch some main ingredients of the proof and reduce the main theorem to a key result on the set of invariant functions on the moduli of Fontaine--Laffaille modules.
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报告人：钱子诚 博士（University of Toronto）
题 目：Invariant functions on the moduli of Fontaine--Laffaille modules
时 间：2021.07.13（星期二），09:00-11:00
地 点：腾讯会议：388 323 890
摘 要：According to the previous talk, our main theorem on local-global compatibility is reduced to the fact that the set of invariant functions distinguish points on the moduli stack of Fontaine--Laffaille modules. Based on more detailed study of this moduli, we sketch some main ideas of the proof by examples.
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