表示论研讨班：l-Modular Blocks: How far are we from reduction to depth zero?

中国科学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

Speaker: 崔沛仪 博士（晨兴数学中心）

Title: l-Modular Blocks: How far are we from reduction to depth zero?

Time&Venue: 2024年11月14日（星期四）14:30-15:30 & N818

Abstract:Reduction to depth zero is a promising approach for understanding l-modular blocks of p-adic groups when l differs from p. In this talk, I will introduce l-modular blocks of SL_n from this perspective. We will explore the technical challenges in associating an l-modular block with a depth-zero block and consider a natural candidate for this potential connection. A conjecture on l-modular blocks of general groups will be proposed. Toward the end, I will also discuss related topics on both the automorphic and Galois sides.