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math.NT2026
The unstable complex in Bruhat-Tits buildings for arithmetic groups over function fields
Gebhard Böckle, Sriram Chinthalagiri Venkata
Let be a function field in positive characteristic, be a fixed place of and be the completion of at . By the work of Serre, it is well known…
math.NT2026
On coefficients, potentially abelian quotients, and residual irreducibility of compatible systems
Gebhard Böckle, Chun-Yin Hui
Let be a semisimple E-rational compatible system of a number field K. In a first step, building upon the theory of pseudocharacters [Ro…