On monoidal Koszul duality for the Hecke category

• Makisumi, Shotaro ^[1]
  1. [1] Columbia University

     Columbia University

     Estados Unidos

     
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 53, Nº. Extra 1, 2019 (Ejemplar dedicado a: Suplemento), págs. 195-222
• Idioma: inglés
• DOI: 10.15446/recolma.v53nsupl.84084
• Enlaces
  • Texto completo
• Resumen
  • español

    Procuramos dar una amable, si bien ahistórica, introducción a los fenómenos de dualidad de Koszul en la categoría de Hecke, con foco en la forma de esta dualidad estudiada en los trabajos [1, 2] en colaboración con Achar, Riche y Williamson. Ilustramos algunos fenómenos y construcciones claves en el ejemplo no trivial más simple, SL2 finito, usando bimódulos de Soergel, un modelo algebraico concreto de la categoría de Hecke.

  • English

    We attempt to give a gentle (though ahistorical) introduction to Koszul duality phenomena for the Hecke category, focusing on the form of this duality studied in joint work [1, 2] of Achar, Riche, Williamson, and the author. We illustrate some key phenomena and constructions for the simplest nontrivial case of (finite) SL2 using Soergel bimodules, a concrete algebraic model of the Hecke category.

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