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math.NA2023
The algebra of splines: duality, group actions and homology
Martina Lanini, Hal Schenck, Julianna Tymoczko
This survey gives an overview of three central algebraic themes related to the study of splines: duality, group actions, and homology. Splines are piecewise polynomial functions of…
math.RT2023
Wall And Chamber Structure For A Special Biserial Algebra Coming From Perverse Sheaves on
Alessio Cipriani, Martina Lanini
We describe the wall and chamber structure of a special biserial algebra whose module category is equivalent to the category of (middle) perverse sheaves on the complex projective…
math.AG2023
Laumon parahoric local models via quiver Grassmannians
Evgeny Feigin, Martina Lanini, Alexander Pütz
Local models of Shimura varieties in type A can be realized inside products of Grassmannians via certain linear algebraic conditions. Laumon suggested a generalization which can be…