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SUMMARY:Chris Bowman (University of Kent)
DTSTART:20200915T073000Z
DTEND:20200915T083000Z
DTSTAMP:20260423T021254Z
UID:OISTRTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/1/">
 Tautological p-Kazhdan–Lusztig Theory for cyclotomic Hecke algebras</a>\
 nby Chris Bowman (University of Kent) as part of OIST representation theor
 y seminar\n\n\nAbstract\nWe discuss a new explicit isomorphism between (tr
 uncations of) quiver Hecke algebras and Elias–Williamson’s diagrammati
 c endomorphism algebras of Bott–Samelson bimodules. This allows us to de
 duce that the decomposition numbers of these algebras (including as exampl
 es the symmetric groups and generalised blob algebras) are tautologically 
 equal to the associated p-Kazhdan–Lusztig polynomials\, provided that th
 e characteristic is greater than the Coxeter number. This allows us to giv
 e an elementary and explicit proof of the main theorem of Riche–Williams
 on’s recent monograph and extend their categorical equivalence to cyclot
 omic Hecke algebras\, thus solving Libedinsky–Plaza’s categorical blob
  conjecture.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/1/
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