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SUMMARY:Marie Roth (University of East Anglia)
DTSTART:20251125T140000Z
DTEND:20251125T150000Z
DTSTAMP:20260421T153845Z
UID:UEAPS/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/64/">O
 n the unitriangularity of decomposition matrices of finite groups of Lie t
 ype of exceptional type</a>\nby Marie Roth (University of East Anglia) as 
 part of ANTLR seminar\n\nLecture held in SCI 0.31.\n\nAbstract\nDecomposit
 ion matrices encode the link between ordinary and modular representations 
 of finite groups.\nIn 2020\, Brunat--Dudas--Taylor showed that the decompo
 sition matrix of the unipotent $\\ell$-blocks of a finite group $G$ of Lie
  type in good characteristic has unitriangular shape\, answering a conject
 ure of Geck. Their theorem holds under some conditions on the prime $\\ell
 $\, in particular when $\\ell$ is good. In this talk\, we will discuss how
  to extend this result\, firstly to $\\ell$ bad (for any $G$ simple adjoin
 t) and then to other blocks\, namely the isolated blocks (for $G$ simple a
 djoint of type $G_2$\, $F_4$\, and $E_6$). This work was part of my PhD th
 esis under the supervision of Gunter Malle and Olivier Dudas.\n
LOCATION:https://researchseminars.org/talk/UEAPS/64/
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