中科院数学与系统科学研究院

数学研究所

数论研讨班

报告人： 王珺 博士（中科院晨兴数学中心）

题  目：Modular symbols and cup products of units

时  间：2021.12.03（星期五），8:30-9 :30

地  点：数学院南楼N204室

摘  要：R. Sharifi formulated a conjecture relating cup products of units and modular symbols modulo an Eisenstein ideal. After a short discussion of the conjecture, I intend to discuss the generalization of this conjecture on exceptional eigenspace. I also hope to very briefly mention some applications of this conjecture on Iwasawa theory of Eisenstein cusp form.