Cheng Zheng

A shrinking target problem in homogeneous spaces of semisimple algebraic groups

In this paper, we study a shrinking target problem with target at infinity in a homogeneous space of a semisimple algebraic group from the representation-theoretic point of view. Let 𝜌 : 𝐆 → 𝐆 𝐋 ⁡ ( 𝑉 ) be an irreducible ℚ -rational representation of a connected semisimple ℚ -alg...