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SUMMARY:Zachary Porat (Wesleyan University)
DTSTART:20260210T210000Z
DTEND:20260210T220000Z
DTSTAMP:20260824T073917Z
UID:FCNTS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/18/">C
 uspidal Cohomology Computations for Congruence Subgroups of $\\mathrm{SL}(
 3\, \\mathbb{Z})$</a>\nby Zachary Porat (Wesleyan University) as part of P
 ioneer Valley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Am
 herst College.\n\nAbstract\nAsh\, Grayson\, and Green computed the action 
 of Hecke operators on the cuspidal cohomology of congruence subgroups $\\G
 amma_0(3\, p) \\subseteq \\mathrm{SL}(3\, \\mathbb{Z})$ for small $p$.  Th
 e first part of the talk will discuss how we extended their work\, gatheri
 ng additional data for larger $p$ using a new technique which allows for c
 omputations directly on the space of interest.  A natural question to ask 
 is for what other congruence subgroups of $\\mathrm{SL}(3\, \\mathbb{Z})$ 
 can one perform analogous computations.  In the second part of the talk\, 
 we will detail techniques for working with congruence subgroups that are I
 wahori at $p$\, providing a framework for understanding the action of Heck
 e operators on the corresponding cohomology.\n
LOCATION:https://researchseminars.org/talk/FCNTS/18/
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