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math.NT2021
Overconvergent cohomology, -adic -functions and families for over CM fields
Daniel Barrera Salazar, Chris Williams
The use of overconvergent cohomology in constructing -adic -functions, initiated by Stevens and Pollack--Stevens in the setting of classical modular forms, has now been estab…
math.NT2021
On -adic -functions for in finite slope Shalika families
Daniel Barrera Salazar, Mladen Dimitrov, Chris Williams
In this paper, we propose and explore a new connection in the study of -adic -functions and eigenvarieties. We use it to prove results on the geometry of the cuspidal eigenva…