21 citations · 35 across the 8 of their papers we have counts for
8 papers
Ext-enhanced monoidal Koszul duality for
Matthew Hogancamp, Shotaro Makisumi
The Hecke category participates in an equivalence called monoidal Koszul duality, which exchanges it with the category of (Langlands-dual) "free-monodromic tilting sheaves." Motiva…
On monoidal Koszul duality for the Hecke category
Shotaro Makisumi
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 of Acha…
Koszul duality for Kac-Moody groups and characters of tilting modules
Pramod Achar, Shotaro Makisumi, Simon Riche +1
We establish a character formula for indecomposable tilting modules for connected reductive groups in characteristic p in terms of p-Kazhdan-Lusztig polynomials, for p>h the Coxete…
Mixed modular perverse sheaves on moment graphs
Shotaro Makisumi
We study an analogue of the Achar-Riche "mixed modular derived category" for moment graphs. In particular, given a Coxeter group and a reflection faithful representation $\math…
Free-monodromic mixed tilting sheaves on flag varieties
Pramod N. Achar, Shotaro Makisumi, Simon Riche +1
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 deri…
Modular Koszul duality for Soergel bimodules
Shotaro Makisumi
We generalize the modular Koszul duality of Achar-Riche to the setting of Soergel bimodules associated to any finite Coxeter system. The key new tools are a functorial monodromy ac…
A Note on Riemann Surfaces of Large Systole
Shotaro Makisumi
We examine the large systole problem, which concerns compact hyperbolic Riemannian surfaces whose systole, the length of the shortest noncontractible loops, grows logarithmically i…
Modified Hanoi Towers Groups and Limit Spaces
Shotaro Makisumi, Grace Stadnyk, Benjamin Steinhurst
We introduce the -peg Hanoi automorphisms and Hanoi self-similar groups, a generalization of the Hanoi Towers groups, and give conditions for them to be contractive. We analyze…