This international workshop brings together leading experts and early-career researchers to explore the latest advances in representation theory, harmonic analysis, and their geometric and analytic aspects on homogeneous spaces. Building on the foundational themes introduced during the preceding research school, this workshop will focus on cutting-edge developments at the crossroads of Lie theory, geometric analysis, quantization, and differential geometry. Particular emphasis will be placed on the interaction between algebraic structures and analytic methods, including the role of coadjoint orbits, spectral theory, proper group actions, dualities, and deformation quantization.

The event will serve not only as a platform for disseminating recent research results but also as a fertile ground for collaborative discussions and new ideas. We are especially committed to supporting the participation of promising young mathematicians from the Global South, fostering a diverse and inclusive mathematical community. Through a combination of plenary talks, thematic sessions, and informal exchanges, this workshop aims to strengthen existing collaborations and stimulate future research directions in a field of central importance to modern mathematics and its applications in several branches of mathematics, such as physics and number theory, etc.