地点：数学高等研究院报告厅

时间：10月29日，17:00 - 18:00

报告人：Masao Oi (台湾大学)

摘要：In this talk, I would like to discuss a comparison of two kinds of representations of p-adic reductive groups arising from different origins. One is Yu's algebraic construction, further developed by Kim-Yu and Kaletha. The other is a geometric construction recently established by Chan-Ivanov, which generalizes the classical Deligne-Lusztig construction to the positive-depth setting. Our basic strategy is to compare the trace characters of those two representations. A central idea in our argument is to introduce an analogue of the classical Green function (in the context of Deligne-Lusztig theory) for both the algebraic and geometric representations, which enables us to get a character formula completely parallel to the classical Deligne-Lusztig character formula. This talk is based on my joint work with Charlotte Chan (University of Michigan).