地点:数学高等研究院报告厅

时间: 9月9日，16:00 - 17:00

主讲人: Jack Sempliner (加利福尼亚大学洛杉矶分校)

摘要：We will discuss a new result on the p-adic geometry of Igusa stacks, which allows one to relate the p-adic geometry of Shimura varieties for a pair of groups G, G' which are global extended pure inner forms. Using this geometric input and the spectral action of Fargues–Scholze, we will discuss how this input may be used to prove the existence of Hecke-equivariant cohomological Jacquet–Langlands maps between the cohomology (even with integral or torsion coefficients) of the two Shimura varieties of abelian type associated to G, G'.