中科院数学与系统科学研究院

数学研究所

学术报告

表示论研讨班

报告人: 钱子诚 (中国科学院数学与系统科学研究院)

题  目：Two filtrations on certain higher Ext groups between locally analytic generalized Steinberg

时  间：2024.06.13（周四）下午14:30--15:30

地  点：N818

摘  要：We consider the first non-vanishing Ext group between two locally analytic generalized Steinberg. We introduce two filtrations on such Ext groups, one from certain cup product maps and one from the layer structure of a locally analytic generalized Steinberg. We prove that these two filtrations are transversal in suitable sense using certain vanishing results on Ext with parabolic principal series. If time permits,  we introduce some application of such results.