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SUMMARY:Zachary Porat (Wesleyan University)
DTSTART:20260210T210000Z
DTEND:20260210T220000Z
DTSTAMP:20260422T173918Z
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 F
 ive College Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amhe
 rst College.\n\nAbstract\nAsh\, Grayson\, and Green computed the action of
  Hecke operators on the cuspidal cohomology of congruence subgroups $\\Gam
 ma_0(3\, p) \\subseteq \\mathrm{SL}(3\, \\mathbb{Z})$ for small $p$.  The 
 first part of the talk will discuss how we extended their work\, gathering
  additional data for larger $p$ using a new technique which allows for com
 putations directly on the space of interest.  A natural question to ask is
  for what other congruence subgroups of $\\mathrm{SL}(3\, \\mathbb{Z})$ ca
 n one perform analogous computations.  In the second part of the talk\, we
  will detail techniques for working with congruence subgroups that are Iwa
 hori at $p$\, providing a framework for understanding the action of Hecke 
 operators on the corresponding cohomology.\n
LOCATION:https://researchseminars.org/talk/FCNTS/18/
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