Endoscopy and cohomology growth on U(3)

TL;DR

This paper uses endoscopic classification of automorphic forms on U(3) to prove a specific case of a conjecture related to cohomology growth, advancing understanding in automorphic forms and cohomology.

Contribution

It applies endoscopic classification techniques to establish a new case of a conjecture on cohomology growth for U(3).

Findings

Proves a case of Sarnak and Xue's conjecture on cohomology growth.

Demonstrates the effectiveness of endoscopic classification in this context.

Provides new insights into automorphic forms on U(3).

Abstract

We apply the endoscopic classification of automorphic forms on U(3) to prove a case of a conjecture of Sarnak and Xue on cohomology growth.