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SUMMARY:Kostas Psaromiligkos (Université Clermont Auvergne)
DTSTART:20231211T140000Z
DTEND:20231211T150000Z
DTSTAMP:20260423T021338Z
UID:GANT/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/33/">De
 formation theory of the Lafforgue variety - part 2</a>\nby Kostas Psaromil
 igkos (Université Clermont Auvergne) as part of Greek Algebra & Number Th
 eory Seminar\n\n\nAbstract\nIn this series of talks we will construct the 
 Lafforgue variety\, an affine scheme equipped with an open dense subscheme
  parametrizing the simple modules of a non-commutative algebra that is a f
 inite module over a finitely generated center. Our main applications and s
 ource of examples will be in the theory of Hecke algebras. We will also st
 udy how the Lafforgue variety varies under deformation of algebras\, and i
 n particular we prove in the case the center is regular a conjecture state
 d by Aubert\, Baum and Plymen in 2007 on the reducibility loci of affine H
 ecke algebras.\n\nIn the first talk\, we will introduce Hecke algebras and
  the type of questions we will consider\, as well as relevant algebraic ge
 ometric notions for the second talk. In the second talk\, we will construc
 t the Lafforgue variety and study its deformation theory (the latter is wo
 rk in progress).\n
LOCATION:https://researchseminars.org/talk/GANT/33/
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