1A. Main results. Let E/F be a quadratic extension of local nonarchimedean fields of
characteristic zero and η: F×/NE×→{±1} the quadratic character associated to this extension …

The near-completion of the program of endoscopy poses the question of what lies next. This
article takes a broad view of ideas beyond the program of endoscopy, highlighting the …

Let n be a positive integer, F be a non-Archimedean locally compact field of odd residue
characteristic p and G be an inner form of GL (2n, F). This is a group of the form GL (r, D) for …

By applying the residue method for period integrals, we prove identities between period
integrals on cuspidal automorphic representations and period integrals on residual …

Suppose that F is a non-Archimedean local field of characteristic not 2 and D is a central
division algebra over F. Let n be a positive integer. We show a classification modulo …

Let be a quadratic extension of non-archimedean local fields of characteristic different from.
Let be an-central simple algebra of even dimension so that it contains as a subfield, set and …

Distinction of the Steinberg representation and a conjecture of Prasad and Takloo-Bighash -
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We study the linear periods on GL 2 n twisted by a character using a new relative trace
formula. We establish the relative fundamental lemma and the transfer of orbital integrals …

It is well known that the Tchebotarev density theorem implies that an irreducible ℓ-adic
representation ρ of the absolute Galois group of a number field K is determined (up to …

Let $ K/F $ be a finite Galois extension of number fields. It is well known that the Tchebotarev
density theorem implies that an irreducible, finitely ramified $ p $-adic representation $\rho …