Time: November 6, Wednesday, 16:00-17:00

Venue: Lecture Hall

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

Speaker: Peiyi Cui 崔沛仪 (Morningside Center of Mathematics)

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.