Number Theory Seminar
Zachary Porat
Wesleyan University
Cuspidal Cohomology for Iwahori Congruence Subgroups of $\mathrm{SL}(3, \mathbb{Z})$
Abstract: Ash, Grayson, and Green computed the action of Hecke operators on the cuspidal cohomology of congruence subgroups $\Gamma_0(3, p) \subseteq \mathrm{SL}(3, \mathbb{Z})$ for small $p$. A natural question to ask is for what other congruence subgroups of $\mathrm{SL}(3, \mathbb{Z})$ can one perform analogous computations. In this talk, we detail techniques for working with congruence subgroups that are Iwahori at $p$, providing a framework for understanding the action of Hecke operators on the corresponding cohomology. If time permits, we will discuss some improvements for the $\Gamma_0(3, p)$ setting as well. $$$$
Note the room change!
Friday March 13, 2026 at 12:00 PM in 1227 SEO