OpenDreamKit will deliver a flexible toolkit enabling research groups to set up Virtual Research Environments, customised to meet the varied needs of research projects in pure mathematics and applications and supporting the full research life-cycle from exploration, through proof and publication, to archival and sharing of data and code. OpenDreamKit will be built out of a sustainable ecosystem of community-developed open software, databases, and services, including popular tools such as LinBox, MPIR, Sage(sagemath.org), GAP, PariGP, LMFDB, and Singular. We will extend the Jupyter Notebook environment to provide a flexible UI. By improving and unifying existing building blocks, OpenDreamKit will maximise both sustainability and impact, with beneficiaries extending to scientific computing, physics, chemistry, biology and more and including researchers, teachers, and industrial practitioners. We will define a novel component-based VRE architecture and the adapt existing mathematical software, databases, and UI components to work well within it on varied platforms. Interfaces to standard HPC and grid services will be built in. Our architecture will be informed by recent research into the sociology of mathematical collaboration, so as to properly support actual research practice. The ease of set up, adaptability and global impact will be demonstrated in a variety of demonstrator VREs. We will ourselves study the social challenges associated with large-scale open source code development and of publications based on executable documents, to ensure sustainability. OpenDreamKit will be conducted by a Europe-wide demand-steered collaboration, including leading mathematicians, computational researchers, and software developers long track record of delivering innovative open source software solutions for their respective communities. All produced code and tools will be open source.

The social and economic challenges of ageing populations and chronic disease can only be met by translation of biomedical discoveries to new, innovative and cost effective treatments. The ESFRI Biological and Medical Research Infrastructures (BMS RI) underpin every step in this process; effectively joining scientific capabilities and shared services will transform the understanding of biological mechanisms and accelerate its translation into medical care. Biological and medical research that addresses the grand challenges of health and ageing span a broad range of scientific disciplines and user communities. The BMS RIs play a central, facilitating role in this groundbreaking research: inter-disciplinary biomedical and translational research requires resources from multiple research infrastructures such as biobank samples, and resources from multiple research infrastructures such as biobank samples, imaging facilities, molecular screening centres or animal models. Through a user-led approach CORBEL will develop the tools, services and data management required by cutting-edge European research projects: collectively the BMS RIs will establish a sustained foundation of collaborative scientific services for biomedical research in Europe and embed the combined infrastructure capabilities into the scientific workflow of advanced users. Furthermore CORBEL will enable the BMS RIs to support users throughout the execution of a scientific project: from planning and grant applications through to the long-term sustainable management and exploitation of research data. By harmonising user access, unifying data management, creating common ethical and legal services, and offering joint innovation support CORBEL will establish and support a new model for biological and medical research in Europe. The BMS RI joint platform will visibly reduce redundancy and simplify project management and transform the ability of users to deliver advanced, cross-disciplinary research.

We are living in a golden age for space exploration and the world-wide interest in planetary surface exploration, with particular regard to future robotic and human missions, is rapidly increasing. Many nations can maintain robust space programs that continuously provide a great amount of highly complex datasets. Geological maps provide the context for all observations and interpretations of surface and subsurface processes on any planetary body and their histories. Nonetheless, planetary geological maps are still developed almost exclusively by a single research institute in the world (USGS-USA), resulting in exceedingly long publication delays among other grave disadvantages. Thus, it is high time to improve this situation in order to maximize the scientific output of planetary missions and improve the position of Europe in this context. PLANetary MAPping project (PLANMAP) aims at providing highly informative geological maps of the three main bodies of interest for European space missions in the next decade: Mars, Mercury and the Moon. These maps will include spectral information, elemental composition, absolute ages and ground truth information. They will also provide the basis for subsurface 3D geological modelling, and will be disseminated using dedicated web-GIS software.