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Hecke algebras over 2-dimensional local fields

2025-07-24 10:36:23

时间: 2025年7月31日(周四)16:00-17:00

地点: E10-212


主讲人: Professor Kyu-Hwan Lee, University of Connecticut, USA and Korea Institute for Advanced Study, South Korea

讲座主题: Hecke algebras over 2-dimensional local fields

讲座摘要: In the representation theory of p-adic groups, Hecke algebras over 1-dimensional local fields play a central role.

There have been various efforts to extend this theory to 2-dimensional local fields, by many reasons including fundamental applications to an extension of the Langlands-Shahidi method and to emerging 2-dimensional Langlands program.

In this talk, I will present my previous work, partly joint with Henry Kim (Univ. Toronto), on spherical and Iwahori Hecke algebras of SL_2 over 2-dimensional local fields, which is based on the use of Fesenko's measure.