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The year 2013 has been marked for various mathematical activities under a wide umbrella of initiatives called the Mathematics of the Planet Earth (MPE) 2013, which will focus on mathematical research in areas of relevance to the various processes that affect the planet earth. The dynamics of the oceans and the atmosphere and the changes in the climate are of course the obvious topics that are very important for the life on planet earth and make use of mathematics in an essential way. In addition to these, a multitude of other topics are of relevance to MPE-2013, including the financial and economic systems, the energy production and utilization, spread of epidemics at the population level, ecology and genomics of species, just to name a few. A comprehensive and ever-evolving list of such topics can be found here.To stimulate imagination on the many domains where mathematics plays a crucial role in planetary issues, the following four (non exhaustive) themes are proposed as part of MPE-...

The year 2013 has been marked for various mathematical activities under a wide umbrella of initiatives called the Mathematics of the Planet Earth (MPE) 2013, which will focus on mathematical research in areas of relevance to the various processes that affect the planet earth. The dynamics of the oceans and the atmosphere and the changes in the climate are of course the obvious topics that are very important for the life on planet earth and make use of mathematics in an essential way. In addition to these, a multitude of other topics are of relevance to MPE-2013, including the financial and economic systems, the energy production and utilization, spread of epidemics at the population level, ecology and genomics of species, just to name a few. A comprehensive and ever-evolving list of such topics can be found here.To stimulate imagination on the many domains where mathematics plays a crucial role in planetary issues, the following four (non exhaustive) themes are proposed as part of MPE-...

Scattering amplitudes play a pivotal role in quantum field theory as they are used to extract experimental predictions from theory. In order to explain the experimental data from the Large Hadron Collider (Cern), for instance, it is crucial to set up efficient ways to compute scattering cross-sections which then serve as a cross-check on the existing standard model of particle physics. There has been some remarkable work over the past few years that has improved both our understanding as well as our ability to calculate scattering amplitudes in gauge theories and, more recently, in gravity theories. These have led to a new perspective on scattering amplitudes in which underlying symmetries play a central role in solving for the amplitudes while conventional starting points - such as the Lagrangian - emerge as derived or secondary concepts. The most impressive results have been obtained for supersymmetric gauge theories, for which analytic computations are available for tree and many lo...

Scattering amplitudes play a pivotal role in quantum field theory as they are used to extract experimental predictions from theory. In order to explain the experimental data from the Large Hadron Collider (Cern), for instance, it is crucial to set up efficient ways to compute scattering cross-sections which then serve as a cross-check on the existing standard model of particle physics. There has been some remarkable work over the past few years that has improved both our understanding as well as our ability to calculate scattering amplitudes in gauge theories and, more recently, in gravity theories. These have led to a new perspective on scattering amplitudes in which underlying symmetries play a central role in solving for the amplitudes while conventional starting points - such as the Lagrangian - emerge as derived or secondary concepts. The most impressive results have been obtained for supersymmetric gauge theories, for which analytic computations are available for tree and many lo...