2 papers
math.NT2024
Ramification bounds via Wach modules and q-crystalline cohomology
Pavel Čoupek
Let be an absolutely unramified -adic field. We establish a ramification bound, depending only on the given prime and an integer , for mod Galois representations…
math.NT2024
Constructing vector-valued automorphic forms on unitary groups
Thomas L. Browning, Pavel Čoupek, Ellen Eischen +4
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…