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math.KT2025
The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory
Alexander D. Rahm, Anh Tuan Bui, Matthias Wendt
In the present paper, we use discrete Morse theory to provide a new implementation of torsion subcomplex reduction for arithmetic groups. This leads both to a simpler algorithm as…
math.KT2025
On the Calegari-Venkatesh conjecture connecting modular forms spaces and algebraic K-Theory
Alexander D. Rahm, Torti Emiliano
Calegari and Venkatesh did construct, modulo small torsion, a surjection from the degree 2 homology of the rank 2 projective general linear group over a ring of algebraic integers…