ERC FUNDED PROJECTS

The purpose of this project is to develop new methods for solving boundary value problems (BVPs) for nonlinear integrable partial differential equations (PDEs). Integrable PDEs can be analyzed by means of the Inverse Scattering Transform, whose introduction was one of the most important developments in the theory of nonlinear PDEs in the 20th century. Until the 1990s the inverse scattering methodology was pursued almost entirely for pure initial-value problems. However, in many laboratory and field situations, the solution is generated by what corresponds to the imposition of boundary conditions rather than initial conditions. Thus, an understanding of BVPs is crucial. In an exciting sequence of events taking place in the last two decades, new tools have become available to deal with BVPs for integrable PDEs. Although some important issues have already been resolved, several major problems remain open. The aim of this project is to solve a number of these open problems and to find solutions of BVPs which were heretofore not solvable. More precisely, the proposal has eight objectives: 1. Develop methods for solving problems with time-periodic boundary conditions. 2. Answer some long-standing open questions raised by series of wave-tank experiments 35 years ago. 3. Develop a new approach for the study of space-periodic solutions. 4. Develop new approaches for the analysis of BVPs for equations with 3 x 3-matrix Lax pairs. 5. Derive new asymptotic formulas by using a nonlinear version of the steepest descent method. 6. Construct disk and disk/black-hole solutions of the stationary axisymmetric Einstein equations. 7. Solve a BVP in Einstein's theory of relativity describing two colliding gravitational waves. 8. Extend the above methods to BVPs in higher dimensions.

2 000 000 €

Start date: 2016-05-01, End date: 2022-02-28

The statement that individuals’ immediate social circumstances influence how they think and act in the political sphere is a truism. However, both theoretical and empirical considerations have often prevented political scientists from incorporating this logic into analyses of political behavior. In the CONPOL project we argue that it is necessary to return to the idea that politics follows a social logic in order to push the theoretical and empirical boundaries in explaining political behavior. That is, people do not act as isolated individuals when confronting complex political tasks such as deciding whether to vote and which party or candidate to vote for. Instead politics should be seen as a social experience in which individuals arrive at their decisions within particular social settings: the family, the peer group, the workplace, the neighborhood. In what way do parents and other family members influence an individual’s political choices? What is the role of workmates and neighbors when individuals arrive at political decisions? Do friends and friends’ friends affect how you think and act in the political sphere? To answer such questions the standard approach to gather empirical evidence on political behavior based on national sample surveys needs to be complemented by the use of population wide register data. The empirical core of the CONPOL project is unique Swedish register data. Via the population registers provided by Statistics Sweden it is possible to identify several relevant social settings such as parent-child relations and the location of individuals within workplaces and neighborhoods. The registers also allow us to identify certain network links between individuals. Furthermore, Statistics Sweden holds information on several variables measuring important political traits. A major aim for CONPOL is to complement this information by scanning in and digitalizing election rolls with individual-level information on turnout across several elections.

1 621 940 €

Start date: 2016-09-01, End date: 2021-08-31

In Europe today disabled people comprise some 65 million (10%). Yet they are marginalized in society and research, and little is known on how disabilities become liveable. This project challenges this bias by proposing to investigate ‘liveable disabilities’ as a function of disability and opportunity structures across time. It analyses four life course dimensions: disabled people’s (1) health and well-being; (2) involvement in education and work; (3) in a partner relationship and family; and (4) in leisure structures. Through this I identify liveable disabilities before, during and after the Swedish welfare state. The results are of significant cross-national interest as they form a useful baseline for what constitutes liveable disabilities, which helps governing bodies maximize opportunity structures for disabled people to participate fully in society. This proposal is unique in employing mixed-methods life course research across time. First, it involves quantitative analysis of Sweden’s long-term digitized population databases, which reflect how disability impacts on people’s educational, occupational, marital and survival chances. The statistical outcome is novel in demonstrating how different impairments intersect with human characteristics relative to society’s structures of the past 200 years. Second, qualitative analyses uncover how disabled people today experience and talk about the above dimensions (1-4) themselves, and how mass media depict them. Third, I make innovative studies of leisure structures, which may promote liveable disabilities. The proposal aims to establish me at the forefront of disability research. It benefits from my scholarship in history and demography and from three excellent centres at Umeå University I am connected to, funded by the Swedish Research Council. One centre researches populations, another gender. The third provides expertise in disability studies and ready access to stakeholders outside academia.

1 999 870 €

Start date: 2016-02-01, End date: 2021-07-31

Social norms in general, and norms of cooperation in particular, are the cement of all human societies. For the difficult problems of the maintenance and enforcement of social norms and of cooperation, humans have developed surprisingly complex solutions. Reputation mechanisms and gossip are certainly among the compound informal solutions. According to common wisdom, gossip channels mainly negative and often fictitious information. If it is so, how can dishonest gossip and the resulting biased reputations legitimize social order and promote cooperation? This is the main puzzle we tackle in the proposed project exploiting a wide scale of instruments. We use analytical modeling and agent-based simulation to derive hypotheses. We test simple hypotheses in small group experiments. We develop new methodological tools to appropriately analyze the triadic nature of gossip embedded in network flows of information. We utilize dynamic network datasets from primary and secondary school classes, and we gather qualitative and quantitative information from organizations to test conditional hypotheses about the role that gossip plays in reputation and cooperation in different developmental and social contexts of life. In addition, we apply new communication technologies currently under development to explore the hidden world of gossip and the dynamics of reputations in dormitories and organizations. With the insights gained, we can overcome common stereotypes about gossip and highlight how gossip is related to credible reputational signals, cooperation, and social order. Expected results will help us to outline the conditions that can promote cooperativeness in work groups, and they will help to construct successful prevention strategies of social exclusion and other potentially harmful consequences of the evil tongue.

1 973 500 €

Start date: 2015-12-01, End date: 2020-11-30