Genkai Zhang

collaborators

4 papers

math.DG2026

Quasi-convexity of energy functions along Teichmüller geodesics

Inkang Kim, Xueyuan Wan, Genkai Zhang

Hyperbolic length functions are among the most fundamental ones on Teichmüller space, and they are quasi-convex along Teichmüller geodesics. In this paper, we investigate the same…

math.RT2026

Fourier positivity for spherical functions I: split tori and spherical principal series

Michael Björklund, Dongwen Liu, Jun Yu +1

We prove Fourier positivity for spherical functions on a semisimple linear algebraic group $G$ over a local field restricted to its split tori $A$ for unitary principal series para…

math.SP2023

Casimir energy of hyperbolic orbifolds with conical singularities

Ksenia Fedosova, Julie Rowlett, Genkai Zhang

In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime w…

math.RT2023

Principal series of quaternionic and real split exceptional Lie groups induced from Heisenberg parabolic subgroups

Genkai Zhang

Let $G / K$ be an irreducible quaternionic symmetric space of rank $4$ . We study the principal series representation $π_{ν} = Ind_{P}^{G} (1 \otimes e^{ν} \otimes 1)$ of $G$ induced from t…