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SUMMARY:Tianyuan Xu (University of Colorado at Boulder)
DTSTART:20211130T003000Z
DTEND:20211130T013000Z
DTSTAMP:20260423T035816Z
UID:OISTRTS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/22/"
 >On Kazhdan–Lusztig cells of a-value 2</a>\nby Tianyuan Xu (University o
 f Colorado at Boulder) as part of OIST representation theory seminar\n\n\n
 Abstract\nThe Kazhdan–Lusztig (KL) cells of a Coxeter group are subsets 
 of the group defined using the KL basis of the associated Iwahori–Hecke 
 algebra. The cells of symmetric groups can be computed via the Robinson–
 Schensted correspondence\, but for general Coxeter groups combinatorial de
 scriptions of KL cells are largely unknown except for cells of a-value 0 o
 r 1\, where a refers to an N-valued function defined by Lusztig that is co
 nstant on each cell. In this talk\, we will report some recent progress on
  KL cells of a-value 2. In particular\, we classify Coxeter groups with fi
 nitely many elements of a-value 2\, and for such groups we characterize an
 d count all cells of a-value 2 via certain posets called heaps. We will al
 so mention some applications of these results for cell modules. This is jo
 int work with Richard Green.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/22/
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