With an estimated market volume of US$ 130 billion and double-figure growth rates, cloud computing is on the path to change many aspects of our digital lives. In this talk I consider the question of potential benefits and open challenges when bringing BPM research into the cloud, such as (i) how can BPM benefit from the cloud, (ii) what should BPM in the cloud look like, and (iii) what can BPM bring to cloud computing practices? In this talk I will present three works around those questions, namely (a.) end-user-friendly process modelling in the cloud, (b.) process-aware auto-scaling of cloud resources, and (c.) process mining for error diagnostics in cloud management processes.