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SUMMARY:Karol Koziol (University of Michigan)
DTSTART:20211021T213000Z
DTEND:20211021T223000Z
DTSTAMP:20260423T024022Z
UID:JNTS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/26/">Po
 incare duality for modular representations of p-adic groups and Hecke alge
 bras</a>\nby Karol Koziol (University of Michigan) as part of Columbia CUN
 Y NYU number theory seminar\n\n\nAbstract\nThe mod-$p$ representations the
 ory of $p$-adic reductive groups (such as $\\textrm{GL}_2(\\mathbb{Q}_p)$)
  is one of the foundations of the rapidly developing mod-$p$ local Langlan
 ds program. However\, many constructions from the case of complex coeffici
 ents are quite poorly behaved in the mod-$p$ setting\, and it becomes nece
 ssary to use derived functors. In this talk\, I'll describe how this situa
 tion looks for the functor of smooth duality on mod-$p$ representations\, 
 and discuss the construction of a Poincare duality spectral sequence relat
 ing Kohlhaase's functors of higher smooth duals with modules over the (pro
 -$p$) Iwahori-Hecke algebra.\n
LOCATION:https://researchseminars.org/talk/JNTS/26/
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