The core objective of this grant is to establish Community Centres of Excellence (CoEs) in High-Performance Computing (HPC) and Artificial Intelligence (AI). These CoEs will focus on advancing, developing, and scaling parallel application codes to achieve exascale and post-exascale performance, including advanced AI capabilities. The ultimate goal is to solve critical scientific, industrial, and societal challenges by providing cutting-edge capabilities to the European HPC user community. This grant is HPC/AI-focused, but its applications are broad, making it largely SECTOR-AGNOSTIC in terms of beneficiary industries (e.g., healthcare, energy, environment). The target recipients are legal entities from European industry, academia, and national scientific communities. The geographic scope includes EU Member States and countries associated with Horizon Europe that are also members of the EuroHPC Joint Undertaking. Key filtering criteria for initial screening include a strong emphasis on advancing HPC/AI codes, clear alignment with grand scientific challenges, and a commitment to broad user community engagement. This is part of a recurring series of calls under the EuroHPC Joint Undertaking framework, building on previous initiatives to strengthen Europe's critical HPC infrastructure and digital autonomy.