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41 \leftline{ {\Large Mathematics, Statistics, and Computer Science \quad {\Large\bf @ UIC}} }
42 \vskip 18pt
43 \centerline{{\Large\bf Number Theory Seminar}}
44 {\centering\baselineskip=16pt
45 {\Large\sl Cuspidal Cohomology for Iwahori Congruence Subgroups of $\mathrm{SL}(3, \mathbb{Z})$}
46
47 }
48 \vskip 6pt
49 \centerline{{\large Zachary Porat (Wesleyan University)}}
50 \vskip 4pt
51 {\bf Abstract:}\enspace
52 {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. $
53 Note the room change! }
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55 {\it }
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60 \end{document}