Free-Monodromic Mixed Tilting Sheaves on Flag Varieties
In this paper we propose a construction of a monoidal category of “free-monodromic” tilting perverse sheaves on (Kac–Moody) flag varieties in the setting of the “mixed modular derived category” introduced by the first and third authors. This category shares most of the properties of their counterpart in characteristic 0 0 , defined by Bezrukavnikov–Yun using certain pro-objects in triangulated categories. This construction is the main new ingredient in the construction of a “modular Koszul duality” equivalence for constructible sheaves on flag varieties, see [J. Amer. Math. Soc. 32 (2019), no. 1, 261–310, DOI 10.1090/jams/905. MR 3868004 ].
Authors
- Shotaro Makisumi (ORCID: https://orcid.org/0000-0002-5022-8738)
- Simon Riche (ORCID: https://orcid.org/0000-0002-8697-0854)
- Geordie Williamson (ORCID: https://orcid.org/0000-0003-3672-5284)
- Pramod N. Achar (ORCID: https://orcid.org/0000-0002-3447-5165)
Institutions
- Louisiana State University (US)
- Centre National de la Recherche Scientifique (FR)
- The University of Sydney (AU)
- Max Planck Institute for Mathematics (DE)
- Institut National des Sciences Mathématiques et de leurs Interactions (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Stanford University (US)
Publication Details
- Journal
- Memoirs of the American Mathematical Society
- Published
- 2026-10-16
- DOI
- https://doi.org/10.1090/memo/1652
- Citations
- 19
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00