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$l$-Modular Blocks of $SL_n(F)$

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Peiyi Cui

时间

2026年03月09日 10:00 至 11:00

地点

Shuangqing-B654

摘要

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 some examples of depth zero blocks and all the $l$-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. We will introduce the establishment of modular blocks by Dat-Fintzen from this perspective. Toward the end, I will also discuss related topics on both the automorphic and Galois sides.