ERC FUNDED PROJECTS

This radically interdisciplinary project aims to bring a substantially new field of research – literature and mathematics studies – to prominence as a tool for investigating the culture of nineteenth-century Britain. It will result in three kinds of outcome: a monograph, two interdisciplinary and international colloquia, and a collection of essays. The project focuses on Euclidean geometry as a key element of nineteenth-century literary and scientific culture, showing that it was part of the shared knowledge flowing through elite and popular Romantic and Victorian writing, and figuring notably in the work of very many of the century’s best-known writers. Despite its traditional cultural prestige and educational centrality, geometry has been almost wholly neglected by literary history. This project shows how literature and mathematics studies can draw a new map of nineteenth-century British culture, revitalising our understanding of the Romantic and Victorian imagination through its writing about geometry.

323 118 €

Start date: 2009-01-01, End date: 2011-10-31

4D reconstruction, the camera-based dense dynamic scene reconstruction, is a grand challenge in computer graphics and computer vision. Despite great progress, 4D capturing the complex, diverse real world outside a studio is still far from feasible. 4DRepLy builds a new generation of high-fidelity 4D reconstruction (4DRecon) methods. They will be the first to efficiently capture all types of deformable objects (humans and other types) in crowded real world scenes with a single color or depth camera. They capture space-time coherent deforming geometry, motion, high-frequency reflectance and illumination at unprecedented detail, and will be the first to handle difficult occlusions, topology changes and large groups of interacting objects. They automatically adapt to new scene types, yet deliver models with meaningful, interpretable parameters. This requires far reaching contributions: First, we develop groundbreaking new plasticity-enhanced model-based 4D reconstruction methods that automatically adapt to new scenes. Second, we develop radically new machine learning-based dense 4D reconstruction methods. Third, these model- and learning-based methods are combined in two revolutionary new classes of 4DRecon methods: 1) advanced fusion-based methods and 2) methods with deep architectural integration. Both, 1) and 2), are automatically designed in the 4D Real World Reconstruction Loop, a revolutionary new design paradigm in which 4DRecon methods refine and adapt themselves while continuously processing unlabeled real world input. This overcomes the previously unbreakable scalability barrier to real world scene diversity, complexity and generality. This paradigm shift opens up a new research direction in graphics and vision and has far reaching relevance across many scientific fields. It enables new applications of profound social pervasion and significant economic impact, e.g., for visual media and virtual/augmented reality, and for future autonomous and robotic systems.

1 977 000 €

Start date: 2018-09-01, End date: 2023-08-31

This project aims at a better understanding of the philosophical richness of ninth century thought using the unprecedented and highly innovative method of the synchronic approach. The hypothesis directing this synchronic approach is that studying together in parallel the four main philosophical traditions of the century – i.e. Latin, Greek, Syriac and Arabic – will bring results that the traditional enquiry limited to one tradition alone can never reach. This implies pioneering a new methodology to overcome the compartmentalization of research which prevails nowadays. Using this method is only possible because the four conditions of applicability – comparable intellectual environment, common text corpus, similar methodological perspective, commensurable problems – are fulfilled. The ninth century, a time of cultural renewal in the Carolingian, Byzantine and Abbasid empires, possesses the remarkable characteristic – which ensures commensurability – that the same texts, namely the writings of Aristotelian logic (mainly Porphyry’s Isagoge and Aristotle’s Categories) were read and commented upon in Latin, Greek, Syriac and Arabic alike. Logic is fundamental to philosophical enquiry. The contested question is the human capacity to rationalise, analyse and describe the sensible reality, to understand the ontological structure of the world, and to define the types of entities which exist. The use of this unprecedented synchronic approach will allow us a deeper understanding of the positions, a clear identification of the a priori postulates of the philosophical debates, and a critical evaluation of the arguments used. It provides a unique opportunity to compare the different traditions and highlight the heritage which is common, to stress the specificities of each tradition when tackling philosophical issues and to discover the doctrinal results triggered by their mutual interactions, be they constructive (scholarly exchanges) or polemic (religious controversies).

1 998 566 €

Start date: 2015-09-01, End date: 2020-08-31

"The A2C2 project treats two major challenges in climate and atmospheric research: the time dependence of the climate attractor to external forcings (solar, volcanic eruptions and anthropogenic), and the attribution of extreme climate events occurring in the northern extra-tropics. The main difficulties are the limited climate information, the computer cost of model simulations, and mathematical assumptions that are hardly verified and often overlooked in the literature. A2C2 proposes a practical framework to overcome those three difficulties, linking the theory of dynamical systems and statistics. We will generalize the methodology of flow analogues to multiple databases in order to obtain probabilistic descriptions of analogue decompositions. The project is divided into three workpackages (WP). WP1 embeds the analogue method in the theory of dynamical systems in order to provide a metric of an attractor deformation in time. The important methodological step is to detect trends or persisting outliers in the dates and scores of analogues when the system yields time-varying forcings. This is done from idealized models and full size climate models in which the forcings (anthropogenic and natural) are known. A2C2 creates an open source toolkit to compute flow analogues from a wide array of databases (WP2). WP3 treats the two scientific challenges with the analogue method and multiple model ensembles, hence allowing uncertainty estimates under realistic mathematical hypotheses. The flow analogue methodology allows a systematic and quasi real-time analysis of extreme events, which is currently out of the reach of conventional climate modeling approaches. The major breakthrough of A2C2 is to bridge the gap between operational needs (the immediate analysis of climate events) and the understanding long-term climate changes. A2C2 opens new research horizons for the exploitation of ensembles of simulations and reliable estimates of uncertainty."

1 491 457 €

Start date: 2014-03-01, End date: 2019-02-28