Some mathematical problems of material science: effects of multiple scales and extreme aspect ratios (10w5125)

Objectives

Less than 50% of our invitees would be senior experts, whereas the other half+ would be more junior researchers (postdocs, assistant professors, associate professors).
The junior participants would all have interests (and accomplishments) closely related to the themes of the workshop --- and they would be expected to give a presentation of their work --- but the idea would certainly be to try to influence their future work by exposing them to ideas and work of the senior participants. It could be a positive guidance in the sense that they may decide to follow some of the exposed ideas -- but even better, it might be negative guidance in the sense that they
are fascinated by the problems considered, but upon reflection are convinced that they have better and more viable ideas than those presented. We have chosen the three foci described above, since we believe the techniques, that have been independently developed in these areas to deal with multiple scales and high aspect ratios, have a number of things in common, but at the same time could significantly benefit from ``cross-breeding''. We strongly feel such an exchange of ideas and techniques would make the workshop very beneficial for the senior as well as the junior participants. The potential participants include
mathematicians and some engineers. As is evident from the list of potential participants we have made a special effort to include a normally underrepresented group, namely women.