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math.RT2025
Stratifying quiver Schur algebras via ersatz parity sheaves
Ruslan Maksimau, Alexandre Minets
We propose an extension of the theory of parity sheaves, which allows for non-locally constant sheaves along strata. Our definition is tailored for proving the existence of (proper…
math.RT2024
Flag versions of quiver Grassmannians for Dynkin quivers have no odd cohomology
Ruslan Maksimau
We prove the conjecture that flag versions of quiver Grassmannians (also known as Lusztig's fibers) for Dynkin quivers (types , , ) have no odd cohomology groups over an a…
math.RT2024
Geometric categorifications of Verma modules: Grassmannian Quiver Hecke algebras
Ruslan Maksimau, Catharina Stroppel
Naisse and Vaz defined an extension of KLR algebras to categorify Verma modules. We realise these algebras geometrically as convolution algebras in Borel-Moore homology. For this w…