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math.AT2026
A projective resolution of the symplectic Steinberg module
Urshita Pal
Borel--Serre proved that for a number ring with fraction field , the symplectic group is a virtual duality group of degree quadratic in , and that the…
math.AT2024
Representation stability in the (co)homology of vertical configuration spaces
David Baron, Urshita Pal, Chenglu Wang +2
In this paper, we study sequences of topological spaces called "vertical configuration spaces" of points in Euclidean space. We apply the theory of FI-modules, and results of B…