BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar $l$-Modular Blocks of $SL_n(F)$
$l$-Modular Blocks of $SL_n(F)$
Organizers
Hansheng Diao , Heng Du , Yueke Hu , Bin Xu , Yihang Zhu
Speaker
Peiyi Cui
Time
Monday, March 9, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-B654
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 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.