Representation Theory and Noncommutative Geometry, Paris

ℓ-Modular blocks of SLn

3 mars 2025, 11:00

1h

Amphitheater Darboux (IHP)

Orateur

Peiyi Cui (Morningside Center of Mathematics)

Description

Reduction to depth zero is a promising approach for understanding $\ell$-modular blocks of $p$-adic groups when $\ell$ differs from $p$. In this talk, I will introduce $\ell$-modular blocks of ${\mathrm{SL}}_n$ from this perspective. We will explore the technical challenges in associating an $\ell$-modular block with a depth-zero block and consider a natural candidate for this potential connection. Toward the end, I will also discuss related topics on both the automorphic and Galois sides.