Lafforgue pseudocharacters and parities of limits of Galois representations

Tobias Berger, Ariel Weiss

Let $F$ be a CM field with totally real subfield $F^{+}$ and let $\pi$ be a $C$-algebraic cuspidal automorphic automorphic representation of $\mathrm{U}(a,b)({\mathbf{A}}_{F^{+}})$ whose a…