Tautological p-Kazhdan-Lusztig theory for cyclotomic Hecke algebras
We discuss a new explicit isomorphism between (truncations of) quiver Hecke algebras and Elias–Williamson’s diagrammatic endomorphism algebras of Bott–Samelson bimodules. This allows us to deduce that the decomposition numbers of these algebras (including as examples the symmetric groups and generalised blob algebras) are tautologically equal to the associated p-Kazhdan–Lusztig polynomials, provided that the characteristic is greater than the Coxeter number. This allows us to give an elementary and explicit proof of the main theorem of Riche–Williamson’s recent monograph and extend their categorical equivalence to cyclotomic Hecke algebras, thus solving Libedinsky–Plaza’s categorical blob conjecture
Referent/Referentin
Dr. Chris Bowman (University of Canterbury)
Veranstalter
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Termin
21. Januar 202115:15 Uhr - 16:30 Uhr
Kontakt
Institut für Algebra, Zahlentheorie und Diskrete MathematikWelfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
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